Edit Profile (opens in new tab) Jørgensen, Palle E. T. Co-Author Distance Author ID: jorgensen.palle-e-t Published as: Jorgensen, Palle E. T.; Jørgensen, Palle E. T.; Jorgensen, Palle; Jorgensen, P. E. T.; Jørgensen, P. E. T.; Jørgensen, Palle E.; Jørgensen, Palle; Jorgensen, P. E.; Jorgensen, P. more...less External Links: ORCID Documents Indexed: 438 Publications since 1975, including 44 Books and 38 Additional arXiv Preprints 18 Contributions as Editor · 1 Further Contribution Reviewing Activity: 63 Reviews Co-Authors: 113 Co-Authors with 340 Joint Publications 3,279 Co-Co-Authors all top 5 Co-Authors 114 single-authored 42 Cho, Ilwoo 37 Dutkay, Dorin Ervin 35 Tian, Feng 34 Bratteli, Ola 26 Alpay, Daniel Aron 20 Pedersen, Steen 19 Song, Myung-Sin 15 Bezuglyi, Sergey I. 15 Pearse, Erin Peter James 15 Tian, James F. 14 Ólafsson, Gestur 11 Lewkowicz, Izchak 10 Kornelson, Keri A. 9 Packer, Judith A. 8 Price, Geoffrey L. 7 Paolucci, Anna Maria 7 Shuman, Karen L. 6 Elliott, George A. 6 Muhly, Paul Scott 6 Robinson, Derek William 5 Goodman, Frederick M. 5 Herr, John E. 5 Kang, Sooran 5 Neeb, Karl-Hermann 5 Weber, Eric S. 5 Werner, Reinhard F. 4 Evans, David E. 4 Farsi, Carla 4 Gillaspy, Elizabeth 4 Larson, David Royal 4 Merrill, Kathy D. 4 Powers, Robert T. 4 Proskurin, Daniil P. 4 Samoĭlenko, Yuriĭ Stefanovych 4 Volok, Dan 3 Baggett, Lawrence Wasson 3 Han, Deguang 3 Kim, Ki Hang 3 Roush, Fred William 3 Schmitt, Lothar M. 3 Silvestrov, Sergei D. 3 Størmer, Erling 3 Zhang, Zhihua 2 Albeverio, Sergio A. 2 Davidson, Kenneth R. 2 Douglas, Ronald George 2 Effros, Edward George 2 Golmankhaneh, Alireza Khalili 2 Kadison, Richard Vincent 2 Kaskutas, Lee Ann 2 Kishimoto, Aki 2 Kishimoto, Akitaka 2 Klink, William H. 2 Kutyniok, Gitta 2 Laca, Marcelo 2 Levanony, David 2 Markiewicz, Daniel 2 Massopust, Peter R. 2 Moore, Robert T. 2 Nathanson, Ekaterina S. 2 Picioroaga, Gabriel 2 Pitts, David R. 2 Quan, Xiuchi 2 Sanadhya, Shrey 2 Sarason, Donald Erik 2 Shah, Firdous Ahmad 2 Shuman, Karen 2 Takesaki, Masamichi 2 Xu, Da 1 Ahmad, Owais 1 Baker, B. Mitchell 1 Barnsley, Michael Fielding 1 Batty, Charles J. K. 1 Berner, Chad 1 Bratteli, Tone 1 Brenken, Berndt A. 1 Casazza, Peter George 1 Chang, Sun-Yung Alice 1 Choi, Man-Duen 1 Connes, Alain 1 Cuntz, Joachim 1 Curto, Raúl Enrique 1 Dadarlat, Marius 1 Digernes, Trond 1 Eastwood, Mike 1 Effros, Rita Brickman 1 Feichtlinger, Hans Georg 1 Gallavotti, Giovanni M. 1 Gillespie, Timothy L. 1 Glashow, Sheldon Lee 1 Goodman, Fred M. 1 Gover, Ashwin Rod 1 Grinberg, Eric Liviu 1 Haussermann, John 1 Heil, Christopher E. 1 Hong, Doojin 1 Iosevich, Alex 1 Jaffe, Arthur Michael 1 Kaminker, Jerome 1 Karpel, Olena ...and 48 more Co-Authors all top 5 Serials 28 Journal of Functional Analysis 23 Journal of Mathematical Physics 15 Acta Applicandae Mathematicae 13 Journal of Mathematical Analysis and Applications 11 Opuscula Mathematica 10 Complex Analysis and Operator Theory 9 Journal of Applied Mathematics and Computing 8 Journal of Operator Theory 7 Mathematische Zeitschrift 7 Numerical Functional Analysis and Optimization 7 Proceedings of the American Mathematical Society 6 Ergodic Theory and Dynamical Systems 6 Contemporary Mathematics 5 Journal d’Analyse Mathématique 5 Notices of the American Mathematical Society 5 The Journal of Fourier Analysis and Applications 5 Sampling Theory in Signal and Image Processing 4 Communications in Mathematical Physics 4 Mathematics of Computation 4 Integral Equations and Operator Theory 4 Memoirs of the American Mathematical Society 4 Pacific Journal of Mathematics 4 Comptes Rendus Mathématiques de l’Académie des Sciences 3 Advances in Mathematics 3 Illinois Journal of Mathematics 3 Mathematische Annalen 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Semigroup Forum 3 Journal of Theoretical Probability 3 International Journal of Mathematics 3 Expositiones Mathematicae 3 The New York Journal of Mathematics 3 Oberwolfach Reports 3 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Operator Theory 2 Israel Journal of Mathematics 2 Rocky Mountain Journal of Mathematics 2 Journal of Approximation Theory 2 Transactions of the American Mathematical Society 2 Advances in Applied Mathematics 2 Journal of Physics A: Mathematical and General 2 Bulletin of the American Mathematical Society. New Series 2 The Journal of Analysis 2 Applied and Computational Harmonic Analysis 2 Electronic Research Announcements of the American Mathematical Society 2 Markov Processes and Related Fields 2 Algebras and Representation Theory 2 Infinite Dimensional Analysis, Quantum Probability and Related Topics 2 Analysis and Applications (Singapore) 2 Lecture Notes in Mathematics 2 Analysis and Mathematical Physics 2 Mathematics 2 Special Matrices 2 Applied and Numerical Harmonic Analysis 2 Sampling Theory, Signal Processing, and Data Analysis 1 Houston Journal of Mathematics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Journal of Geometry and Physics 1 American Journal of Mathematics 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Dissertationes Mathematicae 1 Journal of Differential Equations 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Mathematica Scandinavica 1 Tôhoku Mathematical Journal. Second Series 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Complex Variables. Theory and Application 1 Stochastic Analysis and Applications 1 Probability Theory and Related Fields 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 The Journal of Geometric Analysis 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Stochastic Processes and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Fractals 1 Mathematical Physics, Analysis and Geometry 1 Conformal Geometry and Dynamics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Advances in Theoretical and Mathematical Physics 1 Journal of the Australian Mathematical Society 1 Journal of Machine Learning Research (JMLR) 1 Central European Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Bulletin of the American Mathematical Society 1 Complex Variables and Elliptic Equations 1 Graduate Texts in Mathematics 1 Mathematics and its Applications (Dordrecht) 1 North-Holland Mathematics Studies 1 Banach Journal of Mathematical Analysis 1 International Journal of Functional Analysis, Operator Theory and Applications 1 Advances and Applications in Mathematical Sciences 1 Annals of Functional Analysis 1 Symmetry ...and 5 more Serials all top 5 Fields 264 Functional analysis (46-XX) 246 Operator theory (47-XX) 155 Harmonic analysis on Euclidean spaces (42-XX) 79 Probability theory and stochastic processes (60-XX) 64 Quantum theory (81-XX) 58 Measure and integration (28-XX) 56 Combinatorics (05-XX) 56 Topological groups, Lie groups (22-XX) 48 Abstract harmonic analysis (43-XX) 41 Dynamical systems and ergodic theory (37-XX) 37 Numerical analysis (65-XX) 32 Information and communication theory, circuits (94-XX) 25 Global analysis, analysis on manifolds (58-XX) 24 Potential theory (31-XX) 22 Nonassociative rings and algebras (17-XX) 21 Number theory (11-XX) 19 Partial differential equations (35-XX) 16 Approximations and expansions (41-XX) 14 General and overarching topics; collections (00-XX) 13 Statistics (62-XX) 13 Statistical mechanics, structure of matter (82-XX) 11 Functions of a complex variable (30-XX) 10 Category theory; homological algebra (18-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Special functions (33-XX) 9 Computer science (68-XX) 8 Difference and functional equations (39-XX) 7 History and biography (01-XX) 7 Group theory and generalizations (20-XX) 7 Ordinary differential equations (34-XX) 6 Real functions (26-XX) 5 Integral transforms, operational calculus (44-XX) 5 Systems theory; control (93-XX) 4 Differential geometry (53-XX) 4 General topology (54-XX) 4 Operations research, mathematical programming (90-XX) 3 Several complex variables and analytic spaces (32-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 Convex and discrete geometry (52-XX) 2 Fluid mechanics (76-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 323 Publications have been cited 3,449 times in 1,178 Documents Cited by ▼ Year ▼ Dense analytic subspaces in fractal \(L^2\)-spaces. Zbl 0959.28008 Jørgensen, Palle E. T.; Pedersen, Steen 260 1998 Analysis of orthogonality and of orbits in affine iterated function systems. Zbl 1129.28006 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 123 2007 Fourier frequencies in affine iterated function systems. Zbl 1128.42013 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 111 2007 Iterated function systems, Ruelle operators, and invariant projective measures. Zbl 1117.28008 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 74 2006 Iterated function systems and permutation representations of the Cuntz algebra. Zbl 0935.46057 Bratteli, Ola; Jørgensen, Palle E. T. 66 1999 Wavelets on fractals. Zbl 1104.42021 Dutkay, Dorin E.; Jorgensen, Palle E. T. 62 2006 Analysis and probability. Wavelets, signals, fractals. Zbl 1104.42001 Jorgensen, Palle E. T. 55 2006 Spectral pairs in Cartesian coordinates. Zbl 1050.42016 Jorgensen, Palle E. T.; Pedersen, Steen 51 1999 Wavelets through a looking glass. The world of the spectrum. Zbl 1012.42023 Bratteli, Ola; Jorgensen, Palle 47 2002 Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\). Zbl 0897.46054 Bratteli, Ola; Jørgensen, Palle E. T. 40 1997 A Hilbert space approach to effective resistance metric. Zbl 1209.05144 Jorgensen, Palle E. T.; Pearse, Erin Peter James 39 2010 Positive representations of general commutation relations allowing Wick ordering. Zbl 0864.46047 Jørgensen, Palle E. T.; Schmitt, L. M.; Werner, R. F. 37 1995 Representations of differential operators on a Lie group. Zbl 0311.43003 Jørgensen, Palle E. T. 33 1975 Spectral theory of finite volume domains in \(R^ n\). Zbl 0488.22009 Jørgensen, Palle E. T. 32 1982 Self adjoint extensions satisfying the Weyl operator commutation relations. Zbl 0448.47012 Jørgensen, Palle E. T.; Muhly, Paul S. 32 1980 Harmonic analysis of fractal measures. Zbl 0855.28003 Jørgensen, Palle E. T.; Pedersen, Steen 31 1996 Pure states on \({\mathcal O}_{d}\). Zbl 0992.46044 Bratteli, O.; Jørgensen, P. E. T.; Kishimoto, A.; Werner, R. F. 31 2000 \(q\)-canonical commutation relations and stability of the Cuntz algebra. Zbl 0808.46094 Jørgensen, Palle E. T.; Schmitt, L. M.; Werner, R. F. 31 1994 Fourier series on fractals: a parallel with wavelet theory. Zbl 1256.42048 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 31 2008 Operator commutation relations. Commutation relations for operators, semigroups, and resolvents with applications to mathematical physics and representations of Lie groups. Zbl 0535.47020 Jørgensen, Palle E. T.; Moore, Robert T. 30 1984 Spectral theory for Borel sets in \(\mathbb{R}{}^ n\) of finite measure. Zbl 0774.42021 Jørgensen, Palle E. T.; Pedersen, Steen 30 1992 Fourier duality for fractal measures with affine scales. Zbl 1277.47033 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 30 2012 Orthogonal exponentials, translations, and Bohr completions. Zbl 1180.42018 Dutkay, Dorin Ervin; Han, Deguang; Jorgensen, Palle E. T. 28 2009 Essential self-adjointness of the graph-Laplacian. Zbl 1152.81496 Jorgensen, Palle E. T. 28 2008 A class of Gaussian processes with fractional spectral measures. Zbl 1229.60042 Alpay, Daniel; Jorgensen, Palle; Levanony, David 27 2011 Endomorphisms of \(\mathcal{B(H)}\). II: Finitely correlated states on \(\mathcal{O}_n\). Zbl 0897.46051 Bratteli, Ola; Jørgensen, Palle E. T. 26 1997 Probability and Fourier duality for affine iterated function systems. Zbl 1177.28036 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 24 2009 Martingales, endomorphisms, and covariant systems of operators in Hilbert space. Zbl 1134.47305 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 23 2007 Stochastic processes induced by singular operators. Zbl 1260.60137 Alpay, Daniel; Jorgensen, Palle E. T. 23 2012 Unitary representations and Osterwalder-Schrader duality. Zbl 0959.22008 Jørgensen, Palle E. T.; Ólafsson, Gestur 23 2000 Families of spectral sets for Bernoulli convolutions. Zbl 1235.28008 Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 22 2011 Orthogonal exponentials for Bernoulli iterated function systems. Zbl 1258.42025 Jorgensen, Palle E. T.; Kornelson, Keri; Shuman, Karen 22 2008 On free stochastic processes and their derivatives. Zbl 1296.60181 Alpay, Daniel; Jorgensen, Palle; Salomon, Guy 22 2014 Spectral theory for Gaussian processes: reproducing kernels, boundaries, and \(\mathrm{L}^{2}\)-wavelet generators with fractional scales. Zbl 1335.60053 Alpay, Daniel; Jorgensen, Palle 22 2015 Oversampling generates super-wavelets. Zbl 1158.42016 Dutkay, Dorin Ervin; Jorgensen, Palle 21 2007 Affine systems: asymptotics at infinity for fractal measures. Zbl 1149.28004 Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 21 2007 Resistance boundaries of infinite networks. Zbl 1223.05175 Jorgensen, Palle E. T.; Pearse, Erin P. J. 21 2011 Measures in wavelet decompositions. Zbl 1095.42025 Jorgensen, Palle E. T. 21 2005 Lie algebras of unbounded derivations. Zbl 0515.46059 Goodman, Frederick M.; Jørgensen, Palle E. T. 20 1983 Unitary representations of Lie groups with reflection symmetry. Zbl 0911.22012 Jørgensen, Palle E. T.; Ólafsson, Gestur 20 1998 Spectral reciprocity and matrix representations of unbounded operators. Zbl 1257.47025 Jorgensen, Palle E. T.; Pearse, Erin P. J. 20 2011 A discrete Gauss-Green identity for unbounded Laplace operators, and the transience of random walks. Zbl 1275.05054 Jorgensen, Palle E. T.; Pearse, Erin P. J. 20 2013 Construction of parseval wavelets from redundant filter systems. Zbl 1110.42007 Baggett, L. W.; Jorgensen, P. E. T.; Merrill, K. D.; Packer, J. A. 19 2005 Affine fractals as boundaries and their harmonic analysis. Zbl 1230.47045 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 19 2011 Endomorphisms of \({\mathcal B(H)}\). Zbl 0860.46042 Bratteli, Ola; Jørgensen, Palle E. T.; Price, Geoffrey L. 19 1996 \(C^{*}\)-algebras generated by partial isometries. Zbl 1167.46033 Cho, Ilwoo; Jorgensen, Palle 19 2008 Wavelet filters and infinite-dimensional unitary groups. Zbl 1026.46060 Bratteli, Ola; Jorgensen, Palle E. T. 19 2002 Unbounded derivations tangential to compact groups of automorphisms. Zbl 0485.46035 Bratteli, Ola; Jørgensen, Palle E. T. 18 1982 Unbounded derivations commuting with compact group actions. Zbl 0501.46061 Goodman, F.; Jørgensen, Palle E. T. 18 1981 Decomposition of unbounded derivations into invariant and approximately inner parts. Zbl 0515.46057 Bratteli, Ola; Elliott, George A.; Jørgensen, Palle E. T. 18 1984 Harmonic analysis and fractal limit-measures induced by representations of a certain \(C^*\)-algebra. Zbl 0829.43022 Jørgensen, Palle E. T.; Pedersen, Steen 18 1994 Duality questions for operators, spectrum and measures. Zbl 1229.28012 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 17 2009 Quasiperiodic spectra and orthogonality for iterated function system measures. Zbl 1163.65101 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 17 2009 On discrete analytic functions: products, rational functions and reproducing kernels. Zbl 1295.30107 Alpay, Daniel; Jorgensen, Palle; Seager, Ron; Volok, Dan 17 2013 Krein-space operators induced by Dirichlet characters. Zbl 1322.11065 Cho, Ilwoo; Jorgensen, Palle E. T. 17 2013 On the equivalence of probability spaces. Zbl 1388.60081 Alpay, Daniel; Jorgensen, Palle; Levanony, David 17 2017 Coherent states of the \(q\)-canonical commutation relations. Zbl 0838.46056 Jørgensen, Palle E. T.; Werner, R. F. 16 1994 Analytic continuation of local representations of Lie groups. Zbl 0559.22011 Jørgensen, Palle E. T. 16 1986 Ruelle operators: Functions which are harmonic with respect to a transfer operator. Zbl 0995.46046 Jørgensen, Palle E. T. 16 2001 Quantum mechanics and nilpotent groups. I: The curved magnetic field. Zbl 0601.58027 Jørgensen, Palle E. T.; Klink, William H. 16 1985 Unbounded operators: Perturbations and commutativity problems. Zbl 0458.47034 Jørgensen, Palle E. T. 16 1980 Moment problems in an infinite number of variables. Zbl 1336.44004 Alpay, Daniel; Jorgensen, Palle E. T.; Kimsey, David P. 16 2015 Non-commutative analysis. Zbl 1371.46003 Jorgensen, Palle; Tian, Feng 16 2017 Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures. Zbl 1351.46064 Bezuglyi, S.; Jorgensen, Palle E. T. 16 2015 Entropy encoding, Hilbert space, and Karhunen-Loève transforms. Zbl 1152.81498 Jorgensen, Palle E. T.; Song, Myung-Sin 16 2007 Semicircular elements induced by \(p\)-adic number fields. Zbl 1398.11144 Cho, Ilwoo; Jorgensen, Palle E. T. 16 2017 Compactly supported wavelets and representations of the Cuntz relations. Zbl 0960.42013 Bratteli, Ola; Evans, David E.; Jørgensen, Palle E. T. 15 2000 Iterated function systems, representations, and Hilbert space. Zbl 1060.28006 Jorgensen, Palle E. T. 15 2004 Discrete reproducing kernel Hilbert spaces: sampling and distribution of Dirac-masses. Zbl 1351.46021 Jorgensen, Palle; Tian, Feng 15 2015 Decidability of the isomorphism problem for stationary AF-algebras and the associated ordered simple dimension groups. Zbl 1007.46046 Bratteli, Ola; Jørgensen, Palle E.; Kim, Ki Hang; Roush, Fred 14 2002 Analytic continuation of local representations of symmetric spaces. Zbl 0608.22010 Jørgensen, Palle E. T. 14 1987 On \(C^*\)-algebras generated by pairs of \(q\)-commuting isometries. Zbl 1088.81062 Jørgensen, Palle E. T.; Proskurin, Daniil P.; Samoĭlenko, Yuriĭ S. 14 2005 Group theoretic and geometric properties of multivariable Fourier series. Zbl 0797.42019 Jørgensen, Palle E. T.; Pedersen, Steen 14 1993 Monic representations of the Cuntz algebra and Markov measures. Zbl 1303.47030 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 14 2014 The kernel of Fock representations of Wick algebras with braided operator of coefficients. Zbl 1054.46520 Jørgensen, Palle E. T.; Proskurin, Daniil P.; Samojlenko, Yurij S. 13 2001 Atomic representations of Cuntz algebras. Zbl 1326.46043 Dutkay, Dorin Ervin; Haussermann, John; Jorgensen, Palle E. T. 13 2015 Gelfand triples and boundaries of infinite networks. Zbl 1241.05080 Jorgensen, Palle E. T.; Pearse, Erin P. J. 12 2011 Minimality of the data in wavelet filters (with an appendix by Brian Treadway). Zbl 0984.42025 Jorgensen, Palle E. T. 12 2001 Approximately invariant subspaces for unbounded linear operators. II. Zbl 0345.47023 Jørgensen, Palle E. T. 12 1977 Multiresolution wavelet analysis of integer scale Bessel functions. Zbl 1144.81304 Albeverio, S.; Jorgensen, P. E. T.; Paolucci, A. M. 12 2007 Commutative algebras of unbounded operators. Zbl 0626.47042 Jørgensen, Palle E. T. 11 1987 Harmonic analysis on tori. Zbl 0629.42013 Jørgensen, Palle E. T.; Pedersen, Steen 11 1987 Non-stationarity of isomorphism between \(AF\) algebras defined by stationary Bratteli diagrams. Zbl 0982.46042 Bratteli, Ola; Jørgensen, Palle E. T.; Kim, Ki Hang; Roush, Fred 11 2000 Representation theory and numerical AF-invariants. The representations and centralizers of certain states on \(\mathcal O_d\). Zbl 1060.46048 Bratteli, Ola; Jørgensen, Palle E. T.; Ostrovs’kyĭ, Vasyl’ 11 2004 A non-MRA \(c^r\) frame wavelet with rapid decay. Zbl 1100.42029 Baggett, Lawrence; Jørgensen, Palle; Merrill, Kathy; Packer, Judith 11 2005 Hilbert spaces of martingales supporting certain substitution-dynamical systems. Zbl 1128.37005 Dutkay, Dorin Ervin; Jørgensen, Palle E. T. 11 2005 Selfadjoint extension operators commuting with an algebra. Zbl 0389.47014 Jørgensen, Palle E. T. 11 1979 Relative reproducing kernel Hilbert spaces. Zbl 1311.46024 Alpay, Daniel; Jorgensen, Palle; Volok, Dan 11 2014 Krein-space representations of arithmetic functions determined by primes. Zbl 1305.05233 Cho, Ilwoo; Jorgensen, Palle E. T. 11 2014 Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems. Zbl 1316.41001 Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak; Marziano, Itzik 11 2013 \(C^*\)-subalgebras generated by partial isometries. Zbl 1202.46060 Cho, Ilwoo; Jorgensen, Palle 11 2009 Derivations commuting with abelian gauge actions on lattice systems. Zbl 0508.46045 Bratteli, Ola; Jørgensen, Palle E. T. 10 1982 Computation of isomorphism invariants for stationary dimension groups. Zbl 1067.46060 Bratteli, Ola; Jørgensen, Palle E. T.; Kim, Ki Hang; Roush, Fred 10 2002 Unbounded derivations tangential to compact groups of automorphisms. II. Zbl 0576.46050 Bratteli, Ola; Goodman, Frederick M.; Jørgensen, Palle E. T. 10 1985 Extensions of positive definite integral kernels on the Heisenberg group. Zbl 0709.46021 Jørgensen, Palle E. T. 10 1990 Wavelet representations and Fock space on positive matrices. Zbl 1016.42024 Jørgensen, P. E. T.; Kribs, D. W. 10 2003 Extensions of positive definite functions. Applications and their harmonic analysis. Zbl 1355.43001 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 10 2016 Harmonic analysis of iterated function systems with overlap. Zbl 1152.81497 Jorgensen, Palle E. T.; Kornelson, Keri; Shuman, Karen 10 2007 Positive matrices in the Hardy space with prescribed boundary representations via the Kaczmarz algorithm. Zbl 1428.30044 Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 10 2019 Spectral theory for discrete Laplacians. Zbl 1222.05154 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 10 2010 Dual pairs of operators, harmonic analysis of singular nonatomic measures and Krein-Feller diffusion. Zbl 07734199 Jorgensen, Palle E. T.; Tian, James 1 2023 Operator theory and analysis of infinite networks. Theory and applications. Zbl 1509.05001 Jorgensen, Palle E. T.; Pearse, Erin P. J. 1 2023 Reproducing kernels and choices of associated feature spaces, in the form of \(L^2\)-spaces. Zbl 1493.47032 Jorgensen, Palle; Tian, James 6 2022 Harmonic analysis on graphs via Bratteli diagrams and path-space measures. Zbl 1493.37016 Bezuglyi, Sergey; Jorgensen, Palle E. T. 1 2022 New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry. Zbl 1470.46046 Alpay, Daniel; Jorgensen, Palle E. T. 5 2021 Multi-variable quaternionic spectral analysis. Zbl 1476.15051 Cho, Ilwoo; Jorgensen, Palle E. T. 3 2021 Infinite-dimensional analysis. Operators in Hilbert space; stochastic calculus via representations, and duality theory. Zbl 1487.46001 Jorgensen, Palle; Tian, James 2 2021 Symmetric measures, continuous networks, and dynamics. Zbl 1503.60105 Bezuglyi, Sergey; Jorgensen, Palle E. T. 2 2021 The semicircular law of free probability as noncommutative multivariable operator theory. Zbl 1490.46064 Cho, Ilwoo; Jorgensen, Palle E. T. 1 2021 Reproducing kernels: harmonic analysis and some of their applications. Zbl 07328475 Jorgensen, Palle; Tian, James 1 2021 Harmonic analysis invariants for infinite graphs via operators and algorithms. Zbl 1462.05261 Bezuglyi, Sergey; Jorgensen, Palle E. T. 1 2021 Approximation properties of ridge functions and extreme learning machines. Zbl 1487.41029 Jorgensen, Palle; Stewart, David E. 1 2021 Monic representations of finite higher-rank graphs. Zbl 1453.46050 Farsi, Carla; Gillaspy, Elizabeth; Jorgensen, Palle; Kang, Sooran; Packer, Judith 4 2020 Sampling with positive definite kernels and an associated dichotomy. Zbl 07432960 Jorgensen, Palle; Tian, James 2 2020 Certain \(*\)-homomorphisms of \(C^*\)-algebras and sequences of semicircular elements: a Banach space view. Zbl 1465.46065 Cho, Ilwoo; Jorgensen, Palle E. T. 2 2020 Superposition, reduction of multivariable problems, and approximation. Zbl 07272156 Jorgensen, Palle E. T.; Tian, James F. 1 2020 Harmonic analysis of fractal measures: basis and frame algorithms for fractal \(L^2\)-spaces, and boundary representations as closed subspaces of the Hardy space. Zbl 1453.42029 Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 1 2020 A Kaczmarz algorithm for sequences of projections, infinite products, and applications to frames in IFS \(L^2\) spaces. Zbl 1444.47078 Jorgensen, Palle; Song, Myung-Sin; Tian, James 1 2020 Hermite-wavelet transforms of multivariate functions on \([0,1]^d\). Zbl 1460.44006 Zhang, Zhihua; Jorgensen, Palle 1 2020 Noncommutative boundaries arising in dynamics and representations of the Cuntz relations. Zbl 1443.47086 Jorgensen, Palle; Tian, James 1 2020 Positive matrices in the Hardy space with prescribed boundary representations via the Kaczmarz algorithm. Zbl 1428.30044 Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 10 2019 Realizations and factorizations of positive definite kernels. Zbl 07120204 Jorgensen, Palle; Tian, Feng 7 2019 Semicircular elements induced by projections on separable Hilbert spaces. Zbl 1440.46054 Cho, Ilwoo; Jorgensen, Palle E. T. 7 2019 Continuum versus discrete networks, graph Laplacians, and reproducing kernel Hilbert spaces. Zbl 1397.05176 Jorgensen, Palle E. T.; Pearse, Erin P. J. 7 2019 Graph Laplace and Markov operators on a measure space. Zbl 1454.47098 Bezuglyi, Sergey; Jorgensen, Palle E. T. 6 2019 A characterization of boundary representations of positive matrices in the Hardy space via the Abel product. Zbl 1429.46019 Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 5 2019 Random measures in infinite-dimensional dynamics. Zbl 1417.37020 Jorgensen, Palle E. T.; Tian, Feng 5 2019 On reproducing kernels, and analysis of measures. Zbl 07116991 Jorgensen, Palle; Tian, Feng 3 2019 Monopoles, dipoles, and harmonic functions on Bratteli diagrams. Zbl 1408.37021 Bezuglyi, Sergey; Jorgensen, Palle E. T. 3 2019 Decomposition of Gaussian processes, and factorization of positive definite kernels. Zbl 1443.47085 Jorgensen, Palle; Tian, Feng 3 2019 Reflection positivity, duality, and spectral theory. Zbl 1525.47130 Jorgensen, Palle; Tian, Feng 3 2019 Dynamical properties of endomorphisms, multiresolutions, similarity and orthogonality relations. Zbl 1447.81147 Jorgensen, Palle; Tian, Feng 2 2019 Fractional wave packet systems in \(L^2(\mathbb{R})\). Zbl 1397.42028 Shah, Firdous A.; Ahmad, O.; Jorgensen, P. E. 10 2018 \(W\)-Markov measures, transfer operators, wavelets and multiresolutions. Zbl 1398.37020 Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak 10 2018 Transfer operators, endomorphisms, and measurable partitions. Zbl 1416.37002 Bezuglyi, Sergey; Jorgensen, Palle E. T. 9 2018 Representations of higher-rank graph \(C^\ast\)-algebras associated to {\(\Lambda\)}-semibranching function systems. Zbl 1405.46037 Farsi, Carla; Gillaspy, Elizabeth; Jorgensen, Palle; Kang, Sooran; Packer, Judith 9 2018 Harmonic analysis: smooth and non-smooth. Zbl 1432.42023 Jorgensen, Palle E. T. 8 2018 Metric duality between positive definite kernels and boundary processes. Zbl 1393.46022 Jorgensen, Palle; Tian, Feng 7 2018 A matrix characterization of boundary representations of positive matrices in the Hardy space. Zbl 1407.46021 Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 7 2018 Purely atomic representations of higher-rank graph \(C^*\)-algebras. Zbl 1406.46031 Farsi, Carla; Gillaspy, Elizabeth; Jorgensen, Palle; Kang, Sooran; Packer, Judith 7 2018 Unbounded operators in Hilbert space, duality rules, characteristic projections, and their applications. Zbl 1511.47030 Jorgensen, Palle; Pearse, Erin; Tian, Feng 6 2018 Banach \(^*\)-algebras generated by semicircular elements induced by certain orthogonal projections. Zbl 1406.46054 Cho, Ilwoo; Jorgensen, Palle E. T. 6 2018 Markov chains and generalized wavelet multiresolutions. Zbl 1402.60094 Jorgensen, Palle E. T.; Song, Myung-Sin 5 2018 Infinite weighted graphs with bounded resistance metric. Zbl 1401.05200 Jorgensen, Palle; Tian, Feng 4 2018 Reflection positivity on real intervals. Zbl 1407.43003 Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur 3 2018 Infinite-dimensional measure spaces and frame analysis. Zbl 1405.60006 Jorgensen, Palle E. T.; Song, Myung-Sin 2 2018 On the equivalence of probability spaces. Zbl 1388.60081 Alpay, Daniel; Jorgensen, Palle; Levanony, David 17 2017 Non-commutative analysis. Zbl 1371.46003 Jorgensen, Palle; Tian, Feng 16 2017 Semicircular elements induced by \(p\)-adic number fields. Zbl 1398.11144 Cho, Ilwoo; Jorgensen, Palle E. T. 16 2017 Symmetric pairs of unbounded operators in Hilbert space, and their applications in mathematical physics. Zbl 1424.47055 Jorgensen, Palle E. T.; Pearse, Erin P. J. 9 2017 Generalized Gramians: creating frame vectors in maximal subspaces. Zbl 1384.42022 Jorgensen, Palle; Tian, Feng 4 2017 Characterizations of families of rectangular, finite impulse response, para-unitary systems. Zbl 1409.93022 Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak 4 2017 Transfer operators, induced probability spaces, and random walk models. Zbl 1500.47123 Jorgensen, P.; Tian, F. 4 2017 Trotter’s limit formula for the Schrödinger equation with singular potential. Zbl 1377.81045 Nathanson, Ekaterina S.; Jørgensen, Palle E. T. 1 2017 Operators and representation theory. Canonical models for algebras of operators arising in quantum mechanics. 3rd edition. Revised and updated republication of the 1988 original published by North Holland. Zbl 1365.46060 Jørgensen, Palle E. T. 1 2017 Extensions of positive definite functions. Applications and their harmonic analysis. Zbl 1355.43001 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 10 2016 Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces. Zbl 1393.47047 Jorgensen, Palle; Tian, Feng 7 2016 Positive definite kernels and boundary spaces. Zbl 1359.42004 Jorgensen, Palle; Tian, Feng 7 2016 Symmetric pairs and self-adjoint extensions of operators, with applications to energy networks. Zbl 1353.05080 Jorgensen, Palle E. T.; Pearse, Erin P. J. 7 2016 A new realization of rational functions, with applications to linear combination interpolation, the Cuntz relations and kernel decompositions. Zbl 1337.30048 Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak; Volok, Dan 6 2016 Graph Laplacians and discrete reproducing kernel Hilbert spaces from restrictions. Zbl 1380.46020 Jorgensen, Palle; Tian, Feng 6 2016 Characterizations of rectangular (para)-unitary rational functions. Zbl 1376.26013 Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak 5 2016 Reflection positive stochastic processes indexed by Lie groups. Zbl 1343.22008 Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur 5 2016 Infinite-dimensional Lie algebras, representations, Hermitian duality and the operators of stochastic calculus. Zbl 1415.46043 Jorgensen, Palle; Tian, Feng 2 2016 Asymptotic free probability for arithmetic functions and factorization of Dirichlet series. Zbl 1353.05126 Cho, Ilwoo; Gillespie, Timothy; Jorgensen, Palle E. T. 1 2016 Spectral theory for Gaussian processes: reproducing kernels, boundaries, and \(\mathrm{L}^{2}\)-wavelet generators with fractional scales. Zbl 1335.60053 Alpay, Daniel; Jorgensen, Palle 22 2015 Moment problems in an infinite number of variables. Zbl 1336.44004 Alpay, Daniel; Jorgensen, Palle E. T.; Kimsey, David P. 16 2015 Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures. Zbl 1351.46064 Bezuglyi, S.; Jorgensen, Palle E. T. 16 2015 Discrete reproducing kernel Hilbert spaces: sampling and distribution of Dirac-masses. Zbl 1351.46021 Jorgensen, Palle; Tian, Feng 15 2015 Atomic representations of Cuntz algebras. Zbl 1326.46043 Dutkay, Dorin Ervin; Haussermann, John; Jorgensen, Palle E. T. 13 2015 Infinite product representations for kernels and iterations of functions. Zbl 1376.46020 Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak; Martziano, Itzik 9 2015 Representations of Cuntz algebras associated to quasi-stationary Markov measures. Zbl 1352.37027 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 7 2015 Spectral theory of multiple intervals. Zbl 1304.47082 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 7 2015 Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups. Zbl 1359.43004 Jorgensen, Palle E. T.; Pedersen, Steen; Tian, Feng 6 2015 Frames and factorization of graph Laplacians. Zbl 1359.47055 Jorgensen, Palle; Tian, Feng 6 2015 A global solution to the Schrödinger equation: from Henstock to Feynman. Zbl 1322.81031 Nathanson, Ekaterina S.; Jørgensen, Palle E. T. 5 2015 Infinite networks and variation of conductance functions in discrete Laplacians. Zbl 1328.35257 Jorgensen, Palle; Tian, Feng 4 2015 Unitary groups and spectral sets. Zbl 1325.47020 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 4 2015 Extension of positive definite functions. Zbl 1298.43005 Jorgensen, Palle E. T.; Niedzialomski, Robert 2 2015 Realizations of infinite products, Ruelle operators and wavelet filters. Zbl 1326.42040 Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak 2 2015 Reproducing kernel Hilbert space vs. frame estimates. Zbl 1330.42018 Jorgensen, Palle E. T.; Song, Myung-Sin 2 2015 Spectra of measures and wandering vectors. Zbl 1316.42008 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 2 2015 Unbounded operators, Lie algebras, and local representations. Zbl 1334.47071 Jorgensen, Palle E. T.; Tian, Feng 1 2015 Modulated Haar wavelet analysis of climatic background noise. Zbl 1337.86008 Zhang, Zhihua; Jorgensen, Palle E. T. 1 2015 Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs. Zbl 1319.05150 Cho, Ilwoo; Jorgensen, Palle E. T. 1 2015 On free stochastic processes and their derivatives. Zbl 1296.60181 Alpay, Daniel; Jorgensen, Palle; Salomon, Guy 22 2014 Monic representations of the Cuntz algebra and Markov measures. Zbl 1303.47030 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 14 2014 Relative reproducing kernel Hilbert spaces. Zbl 1311.46024 Alpay, Daniel; Jorgensen, Palle; Volok, Dan 11 2014 Krein-space representations of arithmetic functions determined by primes. Zbl 1305.05233 Cho, Ilwoo; Jorgensen, Palle E. T. 11 2014 Spectral comparisons between networks with different conductance functions. Zbl 1389.47069 Jorgensen, Palle E. T.; Pearse, Erin P. J. 9 2014 Scaling by \(5\) on a \(\frac{1}{4}\)-Cantor measure. Zbl 1329.42006 Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 8 2014 Restrictions and extensions of semibounded operators. Zbl 1327.47017 Jorgensen, Palle; Pedersen, Steen; Tian, Feng 6 2014 Reproducing kernel Hilbert spaces generated by the binomial coefficients. Zbl 1332.46035 Alpay, Daniel; Jorgensen, Palle 6 2014 Scalar spectral measures associated with an operator-fractal. Zbl 1286.47017 Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 5 2014 Actions of arithmetic functions on matrices and corresponding representations. Zbl 1309.46037 Cho, Ilwoo; Jorgensen, Palle 3 2014 The role of transfer operators and shifts in the study of fractals: encoding-models, analysis and geometry, commutative and non-commutative. Zbl 1318.28022 Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 3 2014 Algebras, graphs and their applications. Edited by Palle E. T. Jorgensen. Zbl 1282.05002 Cho, Ilwoo 3 2014 Additive spectra of the \(\frac 14\) Cantor measure. Zbl 1307.42002 Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 2 2014 A universal envelope for Gaussian processes and their kernels. Zbl 1310.46028 Jørgensen, Palle E. T. 1 2014 Von Neumann indices and classes of positive definite functions. Zbl 1316.43002 Jorgensen, Palle; Tian, Feng 1 2014 ...and 223 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 974 Authors 226 Jørgensen, Palle E. T. 60 Cho, Ilwoo 51 Dutkay, Dorin Ervin 35 Alpay, Daniel Aron 32 Li, Jianlin 24 Bratteli, Ola 24 Liu, Jingcheng 19 Dong, Xinhan 19 Tian, Feng 18 Lai, Chun-Kit 17 Weber, Eric S. 16 Chen, Ming-Liang 16 Ólafsson, Gestur 16 Packer, Judith A. 16 Pedersen, Steen 16 Robinson, Derek William 15 Han, Deguang 15 Neeb, Karl-Hermann 15 Silvestrov, Sergei D. 13 He, Xinggang 12 Wu, Zhiyi 11 Pinto, Paulo R. F. 11 Song, Myung-Sin 10 Li, Yunzhang 10 Merrill, Kathy D. 10 Tang, Min-wei 10 Tian, James F. 9 An, Lixiang 9 Fu, Yan-Song 9 Kawamura, Katsunori 9 Proskurin, Daniil P. 8 Baggett, Lawrence Wasson 8 Evans, David E. 8 Farsi, Carla 8 Gabardo, Jean-Pierre 8 Gillaspy, Elizabeth 8 Kang, Sooran 8 Li, Qian 8 Stochel, Jan 8 Turowska, Lyudmila B. 7 Aldroubi, Akram 7 Correia Ramos, Carlos 7 Elliott, George A. 7 Kornelson, Keri A. 7 Lau, Kasing 7 Lawson, Mark Verus 7 Lewkowicz, Izchak 7 Martins, Nuno 7 Paolucci, Anna Maria 7 Pearse, Erin Peter James 7 Picioroaga, Gabriel 7 Su, Juan 7 Sun, Qiyu 7 Wang, Yang 6 Ahmad, Owais 6 Ai, Wenhui 6 Bezuglyi, Sergey I. 6 Conti, Roberto 6 Dai, Xinrong 6 Deng, Qirong 6 González, Benito Juan 6 Goodman, Frederick M. 6 Herr, John E. 6 Li, Haixiong 6 Lu, Zhengyi 6 Negrin, Emilio R. 6 Schmüdgen, Konrad 6 Shah, Firdous Ahmad 6 Shuman, Karen L. 6 Strichartz, Robert S. 6 Wang, Qi 6 Yan, Zhi-Hui 5 Fu, Xiaoye 5 Gonçalves, Daniel 5 Haussermann, John 5 Keller, Matthias 5 Kishimoto, Akitaka 5 Klimek, Slawomir 5 Larsen, Nadia S. 5 Larson, David Royal 5 Lev, Nir 5 Liu, Zongsheng 5 Marcolli, Matilde 5 Mcbride, Matt 5 Moslehian, Mohammad Sal 5 Ogata, Yoshiko 5 Price, Geoffrey L. 5 Royer, Danilo 5 Sebestyén, Zoltán 5 Shi, Ruxi 5 Volok, Dan 5 Wang, Cong 5 Wang, Zhimin 5 Zhang, Minmin 5 Zhang, Pengfei 5 Zhu, Meng 4 Accardi, Luigi 4 Davison, Trubee 4 de Snoo, Hendrik S. V. 4 Ding, Daoxin ...and 874 more Authors all top 5 Cited in 222 Serials 126 Journal of Functional Analysis 89 Journal of Mathematical Analysis and Applications 53 Journal of Mathematical Physics 49 Complex Analysis and Operator Theory 36 Acta Applicandae Mathematicae 33 Proceedings of the American Mathematical Society 27 Transactions of the American Mathematical Society 25 Advances in Mathematics 25 The Journal of Fourier Analysis and Applications 24 Communications in Mathematical Physics 17 Numerical Functional Analysis and Optimization 16 Fractals 15 Forum Mathematicum 14 Integral Equations and Operator Theory 14 Publications of the Research Institute for Mathematical Sciences, Kyoto University 13 Applied and Computational Harmonic Analysis 13 Opuscula Mathematica 11 Linear Algebra and its Applications 10 Journal d’Analyse Mathématique 10 Mathematische Annalen 10 Mathematische Nachrichten 10 Mathematische Zeitschrift 10 Science China. 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Neuvième Série 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Expositiones Mathematicae 3 Journal of Mathematical Sciences (New York) 3 Advances in Applied Clifford Algebras 3 Filomat 3 Mathematical Physics, Analysis and Geometry 3 Positivity 3 Acta Mathematica Sinica. English Series 3 Journal of the Australian Mathematical Society 3 International Journal of Wavelets, Multiresolution and Information Processing 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Mathematics in Computer Science 3 Journal of Noncommutative Geometry 3 Operators and Matrices 3 Discrete and Continuous Dynamical Systems. Series S 3 Special Matrices 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Physics Letters. A 2 Theoretical and Mathematical Physics 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Acta Scientiarum Mathematicarum 2 Canadian Journal of Mathematics ...and 122 more Serials all top 5 Cited in 59 Fields 512 Functional analysis (46-XX) 416 Harmonic analysis on Euclidean spaces (42-XX) 388 Operator theory (47-XX) 281 Measure and integration (28-XX) 136 Quantum theory (81-XX) 105 Probability theory and stochastic processes (60-XX) 95 Combinatorics (05-XX) 95 Topological groups, Lie groups (22-XX) 82 Abstract harmonic analysis (43-XX) 75 Dynamical systems and ergodic theory (37-XX) 59 Partial differential equations (35-XX) 51 Number theory (11-XX) 50 Numerical analysis (65-XX) 43 Information and communication theory, circuits (94-XX) 38 Group theory and generalizations (20-XX) 37 Global analysis, analysis on manifolds (58-XX) 32 Functions of a complex variable (30-XX) 31 Nonassociative rings and algebras (17-XX) 28 Statistical mechanics, structure of matter (82-XX) 24 Potential theory (31-XX) 24 Convex and discrete geometry (52-XX) 22 Real functions (26-XX) 20 Associative rings and algebras (16-XX) 20 Approximations and expansions (41-XX) 20 Integral transforms, operational calculus (44-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 Difference and functional equations (39-XX) 15 Computer science (68-XX) 14 Ordinary differential equations (34-XX) 14 Statistics (62-XX) 11 Category theory; homological algebra (18-XX) 11 Special functions (33-XX) 11 Systems theory; control (93-XX) 9 Several complex variables and analytic spaces (32-XX) 9 General topology (54-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 7 Algebraic geometry (14-XX) 5 Mathematical logic and foundations (03-XX) 5 Differential geometry (53-XX) 5 Operations research, mathematical programming (90-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Manifolds and cell complexes (57-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Algebraic topology (55-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year