Edit Profile (opens in new tab) Jørgensen, Palle E. T. Compute Distance To: Compute Author ID: jorgensen.palle-e-t Published as: Jørgensen, Palle E. T.; Jorgensen, 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: 382 Publications since 1975, including 42 Books 17 Contributions as Editor Reviewing Activity: 63 Reviews Co-Authors: 103 Co-Authors with 288 Joint Publications 2,558 Co-Co-Authors all top 5 Co-Authors 108 single-authored 37 Cho, Ilwoo 34 Bratteli, Ola 34 Dutkay, Dorin Ervin 29 Tian, Feng 21 Alpay, Daniel Aron 20 Pedersen, Steen 12 Ólafsson, Gestur 12 Song, Myung-Sin 11 Pearse, Erin Peter James 10 Kornelson, Keri A. 9 Lewkowicz, Izchak 8 Packer, Judith A. 8 Price, Geoffrey L. 7 Bezuglyi, Sergey I. 7 Shuman, Karen L. 7 Tian, James F. 6 Elliott, George A. 6 Muhly, Paul Scott 6 Paolucci, Anna Maria 6 Robinson, Derek W. 5 Goodman, Frederick M. 5 Werner, Reinhard F. 4 Herr, John E. 4 Larson, David Royal 4 Merrill, Kathy D. 4 Neeb, Karl-Hermann 4 Powers, Robert T. 4 Proskurin, Daniil P. 4 Samoĭlenko, Yuriĭ Stefanovych 4 Weber, Eric S. 3 Baggett, Lawrence Wasson 3 Evans, David E. 3 Farsi, Carla 3 Gillaspy, Elizabeth 3 Han, Deguang 3 Kang, Sooran 3 Kim, Ki Hang 3 Roush, Fred William 3 Schmitt, Lothar M. 3 Silvestrov, Sergei D. 3 Størmer, Erling 3 Volok, Dan 3 Zhang, Zhihua 2 Albeverio, Sergio A. 2 Davidson, Kenneth R. 2 Douglas, Ronald George 2 Effros, Edward George 2 Kadison, Richard Vincent 2 Kaskutas, Lee Ann 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 Sarason, Donald Erik 2 Shuman, Karen 2 Takesaki, Masamichi 1 Ahmad, Owais 1 Baker, B. Mitchell 1 Batty, Charles J. K. 1 Bratteli, Tone 1 Brenken, Berndt A. 1 Casazza, Peter George 1 Chang, Sun-Yung Alice 1 Choi, Man-Duen 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 Gillespie, Timothy L. 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 Kaminker, Jerome 1 Kimsey, David Patrick 1 Kishimoto, Aki 1 Kribs, David W. 1 Landstad, Magnus B. 1 Larson, Dave 1 Martziano, Itzik 1 Marziano, Itzik 1 Mayeli, Azita 1 Mohari, Anilesh 1 Niedzialomski, Robert 1 Ørsted, Bent 1 Ostrovskyĭ, Vasyl L. ...and 25 more Co-Authors all top 5 Serials 28 Journal of Functional Analysis 22 Journal of Mathematical Physics 15 Acta Applicandae Mathematicae 13 Journal of Mathematical Analysis and Applications 10 Opuscula Mathematica 8 Journal of Applied Mathematics and Computing 8 Complex Analysis and Operator Theory 7 Mathematische Zeitschrift 7 Proceedings of the American Mathematical Society 7 Journal of Operator Theory 6 Numerical Functional Analysis and Optimization 6 Ergodic Theory and Dynamical Systems 6 Contemporary Mathematics 5 Journal d’Analyse Mathématique 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 4 Notices of the American Mathematical Society 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 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 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 Discrete and Continuous Dynamical Systems. Series S 2 Analysis and Mathematical Physics 2 Mathematics 2 Special Matrices 2 Applied and Numerical Harmonic Analysis 1 Houston Journal of Mathematics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 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 The Journal of Analysis 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 International Journal of Functional Analysis, Operator Theory and Applications 1 Advances and Applications in Mathematical Sciences 1 Annals of Functional Analysis 1 Symmetry 1 Axioms 1 International Journal of Applied and Computational Mathematics 1 CBMS Regional Conference Series in Mathematics 1 SIAM Journal on Mathematics of Data Science all top 5 Fields 233 Functional analysis (46-XX) 214 Operator theory (47-XX) 137 Harmonic analysis on Euclidean spaces (42-XX) 63 Probability theory and stochastic processes (60-XX) 53 Quantum theory (81-XX) 51 Measure and integration (28-XX) 50 Topological groups, Lie groups (22-XX) 45 Combinatorics (05-XX) 43 Abstract harmonic analysis (43-XX) 34 Dynamical systems and ergodic theory (37-XX) 31 Numerical analysis (65-XX) 26 Information and communication theory, circuits (94-XX) 21 Number theory (11-XX) 20 Nonassociative rings and algebras (17-XX) 20 Global analysis, analysis on manifolds (58-XX) 17 Potential theory (31-XX) 17 Partial differential equations (35-XX) 13 General and overarching topics; collections (00-XX) 11 Approximations and expansions (41-XX) 10 Functions of a complex variable (30-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Statistics (62-XX) 8 Special functions (33-XX) 8 Difference and functional equations (39-XX) 7 Category theory; homological algebra (18-XX) 6 History and biography (01-XX) 6 Group theory and generalizations (20-XX) 5 Real functions (26-XX) 4 Integral transforms, operational calculus (44-XX) 4 Differential geometry (53-XX) 4 Computer science (68-XX) 4 Systems theory; control (93-XX) 3 Ordinary differential equations (34-XX) 2 Several complex variables and analytic spaces (32-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 Associative rings and algebras (16-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 306 Publications have been cited 2,903 times in 1,028 Documents Cited by ▼ Year ▼ Dense analytic subspaces in fractal \(L^2\)-spaces. Zbl 0959.28008Jørgensen, Palle E. T.; Pedersen, Steen 213 1998 Analysis of orthogonality and of orbits in affine iterated function systems. Zbl 1129.28006Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 101 2007 Fourier frequencies in affine iterated function systems. Zbl 1128.42013Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 95 2007 Iterated function systems, Ruelle operators, and invariant projective measures. Zbl 1117.28008Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 67 2006 Iterated function systems and permutation representations of the Cuntz algebra. Zbl 0935.46057Bratteli, Ola; Jørgensen, Palle E. T. 58 1999 Wavelets on fractals. Zbl 1104.42021Dutkay, Dorin E.; Jorgensen, Palle E. T. 52 2006 Spectral pairs in Cartesian coordinates. Zbl 1050.42016Jorgensen, Palle E. T.; Pedersen, Steen 48 1999 Analysis and probability. Wavelets, signals, fractals. Zbl 1104.42001Jorgensen, Palle E. T. 48 2006 Wavelets through a looking glass. The world of the spectrum. Zbl 1012.42023Bratteli, Ola; Jorgensen, Palle 42 2002 Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\). Zbl 0897.46054Bratteli, Ola; Jørgensen, Palle E. T. 38 1997 Positive representations of general commutation relations allowing Wick ordering. Zbl 0864.46047Jørgensen, Palle E. T.; Schmitt, L. M.; Werner, R. F. 34 1995 Representations of differential operators on a Lie group. Zbl 0311.43003Jørgensen, Palle E. T. 31 1975 Self adjoint extensions satisfying the Weyl operator commutation relations. Zbl 0448.47012Jørgensen, Palle E. T.; Muhly, Paul S. 30 1980 Spectral theory of finite volume domains in \(R^ n\). Zbl 0488.22009Jørgensen, Palle E. T. 30 1982 A Hilbert space approach to effective resistance metric. Zbl 1209.05144Jorgensen, Palle E. T.; Pearse, Erin Peter James 30 2010 Spectral theory for Borel sets in \(\mathbb{R}{}^ n\) of finite measure. Zbl 0774.42021Jørgensen, Palle E. T.; Pedersen, Steen 28 1992 Pure states on \({\mathcal O}_{d}\). Zbl 0992.46044Bratteli, O.; Jørgensen, P. E. T.; Kishimoto, A.; Werner, R. F. 27 2000 Fourier series on fractals: a parallel with wavelet theory. Zbl 1256.42048Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 27 2008 Orthogonal exponentials, translations, and Bohr completions. Zbl 1180.42018Dutkay, Dorin Ervin; Han, Deguang; Jorgensen, Palle E. T. 27 2009 Essential self-adjointness of the graph-Laplacian. Zbl 1152.81496Jorgensen, Palle E. T. 26 2008 \(q\)-canonical commutation relations and stability of the Cuntz algebra. Zbl 0808.46094Jørgensen, Palle E. T.; Schmitt, L. M.; Werner, R. F. 26 1994 Harmonic analysis of fractal measures. Zbl 0855.28003Jørgensen, Palle E. T.; Pedersen, Steen 25 1996 Endomorphisms of \(\mathcal{B(H)}\). II: Finitely correlated states on \(\mathcal{O}_n\). Zbl 0897.46051Bratteli, Ola; Jørgensen, Palle E. T. 23 1997 A class of Gaussian processes with fractional spectral measures. Zbl 1229.60042Alpay, Daniel; Jorgensen, Palle; Levanony, David 23 2011 Fourier duality for fractal measures with affine scales. Zbl 1277.47033Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 22 2012 Measures in wavelet decompositions. Zbl 1095.42025Jorgensen, Palle E. T. 21 2005 Orthogonal exponentials for Bernoulli iterated function systems. Zbl 1258.42025Jorgensen, Palle E. T.; Kornelson, Keri; Shuman, Karen 21 2008 Spectral reciprocity and matrix representations of unbounded operators. Zbl 1257.47025Jorgensen, Palle E. T.; Pearse, Erin P. J. 20 2011 Families of spectral sets for Bernoulli convolutions. Zbl 1235.28008Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 20 2011 Martingales, endomorphisms, and covariant systems of operators in Hilbert space. Zbl 1134.47305Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 20 2007 Oversampling generates super-wavelets. Zbl 1158.42016Dutkay, Dorin Ervin; Jorgensen, Palle 20 2007 On free stochastic processes and their derivatives. Zbl 1296.60181Alpay, Daniel; Jorgensen, Palle; Salomon, Guy 19 2014 Affine systems: asymptotics at infinity for fractal measures. Zbl 1149.28004Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 19 2007 Construction of parseval wavelets from redundant filter systems. Zbl 1110.42007Baggett, L. W.; Jorgensen, P. E. T.; Merrill, K. D.; Packer, J. A. 19 2005 Probability and Fourier duality for affine iterated function systems. Zbl 1177.28036Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 19 2009 Unbounded derivations tangential to compact groups of automorphisms. Zbl 0485.46035Bratteli, Ola; Jørgensen, Palle E. T. 18 1982 Unbounded derivations commuting with compact group actions. Zbl 0501.46061Goodman, F.; Jørgensen, Palle E. T. 18 1981 Decomposition of unbounded derivations into invariant and approximately inner parts. Zbl 0515.46057Bratteli, Ola; Elliott, George A.; Jørgensen, Palle E. T. 18 1984 Lie algebras of unbounded derivations. Zbl 0515.46059Goodman, Frederick M.; Jørgensen, Palle E. T. 18 1983 Resistance boundaries of infinite networks. Zbl 1223.05175Jorgensen, Palle E. T.; Pearse, Erin P. J. 18 2011 A discrete Gauss-Green identity for unbounded Laplace operators, and the transience of random walks. Zbl 1275.05054Jorgensen, Palle E. T.; Pearse, Erin P. J. 18 2013 \(C^{*}\)-algebras generated by partial isometries. Zbl 1167.46033Cho, Ilwoo; Jorgensen, Palle 17 2008 Unitary representations and Osterwalder-Schrader duality. Zbl 0959.22008Jørgensen, Palle E. T.; Ólafsson, Gestur 17 2000 Unitary representations of Lie groups with reflection symmetry. Zbl 0911.22012Jørgensen, Palle E. T.; Ólafsson, Gestur 17 1998 Wavelet filters and infinite-dimensional unitary groups. Zbl 1026.46060Bratteli, Ola; Jorgensen, Palle E. T. 16 2002 Harmonic analysis and fractal limit-measures induced by representations of a certain \(C^*\)-algebra. Zbl 0829.43022Jørgensen, Palle E. T.; Pedersen, Steen 16 1994 Affine fractals as boundaries and their harmonic analysis. Zbl 1230.47045Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 16 2011 Unbounded operators: Perturbations and commutativity problems. Zbl 0458.47034Jørgensen, Palle E. T. 15 1980 Coherent states of the \(q\)-canonical commutation relations. Zbl 0838.46056Jørgensen, Palle E. T.; Werner, R. F. 15 1994 Quantum mechanics and nilpotent groups. I: The curved magnetic field. Zbl 0601.58027Jørgensen, Palle E. T.; Klink, William H. 15 1985 Spectral theory for Gaussian processes: reproducing kernels, boundaries, and \(\mathrm{L}^{2}\)-wavelet generators with fractional scales. Zbl 1335.60053Alpay, Daniel; Jorgensen, Palle 15 2015 Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures. Zbl 1351.46064Bezuglyi, S.; Jorgensen, Palle E. T. 15 2015 Operator commutation relations. Commutation relations for operators, semigroups, and resolvents with applications to mathematical physics and representations of Lie groups. Zbl 0535.47020Jørgensen, Palle E. T.; Moore, Robert T. 15 1984 Stochastic processes induced by singular operators. Zbl 1260.60137Alpay, Daniel; Jorgensen, Palle E. T. 15 2012 Quasiperiodic spectra and orthogonality for iterated function system measures. Zbl 1163.65101Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 15 2009 On discrete analytic functions: products, rational functions and reproducing kernels. Zbl 1295.30107Alpay, Daniel; Jorgensen, Palle; Seager, Ron; Volok, Dan 15 2013 Ruelle operators: Functions which are harmonic with respect to a transfer operator. Zbl 0995.46046Jørgensen, Palle E. T. 14 2001 Semicircular elements induced by \(p\)-adic number fields. Zbl 1398.11144Cho, Ilwoo; Jorgensen, Palle E. T. 13 2017 Moment problems in an infinite number of variables. Zbl 1336.44004Alpay, Daniel; Jorgensen, Palle E. T.; Kimsey, David P. 13 2015 Analytic continuation of local representations of Lie groups. Zbl 0559.22011Jørgensen, Palle E. T. 13 1986 Iterated function systems, representations, and Hilbert space. Zbl 1060.28006Jorgensen, Palle E. T. 13 2004 Group theoretic and geometric properties of multivariable Fourier series. Zbl 0797.42019Jørgensen, Palle E. T.; Pedersen, Steen 13 1993 Duality questions for operators, spectrum and measures. Zbl 1229.28012Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 13 2009 Entropy encoding, Hilbert space, and Karhunen-Loève transforms. Zbl 1152.81498Jorgensen, Palle E. T.; Song, Myung-Sin 13 2007 Decidability of the isomorphism problem for stationary AF-algebras and the associated ordered simple dimension groups. Zbl 1007.46046Bratteli, Ola; Jørgensen, Palle E.; Kim, Ki Hang; Roush, Fred 13 2002 Endomorphisms of \({\mathcal B(H)}\). Zbl 0860.46042Bratteli, Ola; Jørgensen, Palle E. T.; Price, Geoffrey L. 12 1996 Minimality of the data in wavelet filters (with an appendix by Brian Treadway). Zbl 0984.42025Jorgensen, Palle E. T. 12 2001 Analytic continuation of local representations of symmetric spaces. Zbl 0608.22010Jørgensen, Palle E. T. 12 1987 Multiresolution wavelet analysis of integer scale Bessel functions. Zbl 1144.81304Albeverio, S.; Jorgensen, P. E. T.; Paolucci, A. M. 12 2007 Approximately invariant subspaces for unbounded linear operators. II. Zbl 0345.47023Jørgensen, Palle E. T. 12 1977 Krein-space operators induced by Dirichlet characters. Zbl 1322.11065Cho, Ilwoo; Jorgensen, Palle E. T. 12 2013 Monic representations of the Cuntz algebra and Markov measures. Zbl 1303.47030Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 12 2014 On the equivalence of probability spaces. Zbl 1388.60081Alpay, Daniel; Jorgensen, Palle; Levanony, David 11 2017 The kernel of Fock representations of Wick algebras with braided operator of coefficients. Zbl 1054.46520Jørgensen, Palle E. T.; Proskurin, Daniil P.; Samojlenko, Yurij S. 11 2001 Commutative algebras of unbounded operators. Zbl 0626.47042Jørgensen, Palle E. T. 11 1987 Harmonic analysis on tori. Zbl 0629.42013Jørgensen, Palle E. T.; Pedersen, Steen 11 1987 Selfadjoint extension operators commuting with an algebra. Zbl 0389.47014Jørgensen, Palle E. T. 11 1979 Compactly supported wavelets and representations of the Cuntz relations. Zbl 0960.42013Bratteli, Ola; Evans, David E.; Jørgensen, Palle E. T. 11 2000 A non-MRA \(c^r\) frame wavelet with rapid decay. Zbl 1100.42029Baggett, Lawrence; Jørgensen, Palle; Merrill, Kathy; Packer, Judith 11 2005 Atomic representations of Cuntz algebras. Zbl 1326.46043Dutkay, Dorin Ervin; Haussermann, John; Jorgensen, Palle E. T. 11 2015 \(C^*\)-subalgebras generated by partial isometries. Zbl 1202.46060Cho, Ilwoo; Jorgensen, Palle 11 2009 Krein-space representations of arithmetic functions determined by primes. Zbl 1305.05233Cho, Ilwoo; Jorgensen, Palle E. T. 10 2014 Non-commutative analysis. Zbl 1371.46003Jorgensen, Palle; Tian, Feng 10 2017 Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems. Zbl 1316.41001Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak; Marziano, Itzik 10 2013 Derivations commuting with abelian gauge actions on lattice systems. Zbl 0508.46045Bratteli, Ola; Jørgensen, Palle E. T. 10 1982 Non-stationarity of isomorphism between \(AF\) algebras defined by stationary Bratteli diagrams. Zbl 0982.46042Bratteli, Ola; Jørgensen, Palle E. T.; Kim, Ki Hang; Roush, Fred 10 2000 Unbounded derivations tangential to compact groups of automorphisms. II. Zbl 0576.46050Bratteli, Ola; Goodman, Frederick M.; Jørgensen, Palle E. T. 10 1985 On \(C^*\)-algebras generated by pairs of \(q\)-commuting isometries. Zbl 1088.81062Jørgensen, Palle E. T.; Proskurin, Daniil P.; Samoĭlenko, Yuriĭ S. 10 2005 Wavelet representations and Fock space on positive matrices. Zbl 1016.42024Jørgensen, P. E. T.; Kribs, D. W. 10 2003 Gelfand triples and boundaries of infinite networks. Zbl 1241.05080Jorgensen, Palle E. T.; Pearse, Erin P. J. 10 2011 Harmonic analysis of iterated function systems with overlap. Zbl 1152.81497Jorgensen, Palle E. T.; Kornelson, Keri; Shuman, Karen 10 2007 On the universal tiling conjecture in dimension one. Zbl 1308.42003Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 9 2013 Harmonic analysis and dynamics for affine iterated function systems. Zbl 1214.42009Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 9 2007 Extensions of positive definite integral kernels on the Heisenberg group. Zbl 0709.46021Jørgensen, Palle E. T. 9 1990 Hilbert spaces of martingales supporting certain substitution-dynamical systems. Zbl 1128.37005Dutkay, Dorin Ervin; Jørgensen, Palle E. T. 9 2005 Computation of isomorphism invariants for stationary dimension groups. Zbl 1067.46060Bratteli, Ola; Jørgensen, Palle E. T.; Kim, Ki Hang; Roush, Fred 9 2002 Essential self-adjointness of semibounded operators. Zbl 0386.47010Jørgensen, Palle E. T. 9 1978 An operator-fractal. Zbl 1310.28007Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 9 2012 States on the Cuntz algebras and \(p\)-adic random walks. Zbl 1250.47039Jorgensen, P. E. T.; Paolucci, A. M. 9 2011 Hilbert spaces built on a similarity and on dynamical renormalization. Zbl 1117.46017Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 9 2006 Reproducing kernels and choices of associated feature spaces, in the form of \(L^2\)-spaces. Zbl 1493.47032Jorgensen, Palle; Tian, James 1 2022 New characterizations of reproducing kernel Hilbert spaces and applications to metric geometry. Zbl 1470.46046Alpay, Daniel; Jorgensen, Palle E. T. 1 2021 Harmonic analysis invariants for infinite graphs via operators and algorithms. Zbl 1462.05261Bezuglyi, Sergey; Jorgensen, Palle E. T. 1 2021 Monic representations of finite higher-rank graphs. Zbl 1453.46050Farsi, Carla; Gillaspy, Elizabeth; Jorgensen, Palle; Kang, Sooran; Packer, Judith 3 2020 Certain \(*\)-homomorphisms of \(C^*\)-algebras and sequences of semicircular elements: a Banach space view. Zbl 1465.46065Cho, Ilwoo; Jorgensen, Palle E. T. 1 2020 Semicircular elements induced by projections on separable Hilbert spaces. Zbl 1440.46054Cho, Ilwoo; Jorgensen, Palle E. T. 5 2019 Positive matrices in the Hardy space with prescribed boundary representations via the Kaczmarz algorithm. Zbl 1428.30044Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 5 2019 Continuum versus discrete networks, graph Laplacians, and reproducing kernel Hilbert spaces. Zbl 1397.05176Jorgensen, Palle E. T.; Pearse, Erin P. J. 4 2019 Monopoles, dipoles, and harmonic functions on Bratteli diagrams. Zbl 1408.37021Bezuglyi, Sergey; Jorgensen, Palle E. T. 3 2019 Realizations and factorizations of positive definite kernels. Zbl 07120204Jorgensen, Palle; Tian, Feng 3 2019 Graph Laplace and Markov operators on a measure space. Zbl 1454.47098Bezuglyi, Sergey; Jorgensen, Palle E. T. 2 2019 A characterization of boundary representations of positive matrices in the Hardy space via the Abel product. Zbl 1429.46019Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 2 2019 Random measures in infinite-dimensional dynamics. Zbl 1417.37020Jorgensen, Palle E. T.; Tian, Feng 2 2019 Reflection positivity, duality, and spectral theory. Zbl 07091734Jorgensen, Palle; Tian, Feng 2 2019 On reproducing kernels, and analysis of measures. Zbl 07116991Jorgensen, Palle; Tian, Feng 2 2019 Decomposition of Gaussian processes, and factorization of positive definite kernels. Zbl 1443.47085Jorgensen, Palle; Tian, Feng 1 2019 Representations of higher-rank graph \(C^\ast\)-algebras associated to {\(\Lambda\)}-semibranching function systems. Zbl 1405.46037Farsi, Carla; Gillaspy, Elizabeth; Jorgensen, Palle; Kang, Sooran; Packer, Judith 7 2018 Unbounded operators in Hilbert space, duality rules, characteristic projections, and their applications. Zbl 06945820Jorgensen, Palle; Pearse, Erin; Tian, Feng 5 2018 A matrix characterization of boundary representations of positive matrices in the Hardy space. Zbl 1407.46021Herr, John E.; Jorgensen, Palle E. T.; Weber, Eric S. 5 2018 \(W\)-Markov measures, transfer operators, wavelets and multiresolutions. Zbl 1398.37020Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak 5 2018 Fractional wave packet systems in \(L^2(\mathbb{R})\). Zbl 1397.42028Shah, Firdous A.; Ahmad, O.; Jorgensen, P. E. 5 2018 Banach \(^*\)-algebras generated by semicircular elements induced by certain orthogonal projections. Zbl 1406.46054Cho, Ilwoo; Jorgensen, Palle E. T. 4 2018 Purely atomic representations of higher-rank graph \(C^*\)-algebras. Zbl 1406.46031Farsi, Carla; Gillaspy, Elizabeth; Jorgensen, Palle; Kang, Sooran; Packer, Judith 4 2018 Metric duality between positive definite kernels and boundary processes. Zbl 1393.46022Jorgensen, Palle; Tian, Feng 4 2018 Reflection positivity on real intervals. Zbl 1407.43003Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur 3 2018 Transfer operators, endomorphisms, and measurable partitions. Zbl 1416.37002Bezuglyi, Sergey; Jorgensen, Palle E. T. 2 2018 Markov chains and generalized wavelet multiresolutions. Zbl 1402.60094Jorgensen, Palle E. T.; Song, Myung-Sin 2 2018 Harmonic analysis: smooth and non-smooth. Zbl 1432.42023Jorgensen, Palle E. T. 2 2018 Infinite-dimensional measure spaces and frame analysis. Zbl 1405.60006Jorgensen, Palle E. T.; Song, Myung-Sin 1 2018 Infinite weighted graphs with bounded resistance metric. Zbl 1401.05200Jorgensen, Palle; Tian, Feng 1 2018 Semicircular elements induced by \(p\)-adic number fields. Zbl 1398.11144Cho, Ilwoo; Jorgensen, Palle E. T. 13 2017 On the equivalence of probability spaces. Zbl 1388.60081Alpay, Daniel; Jorgensen, Palle; Levanony, David 11 2017 Non-commutative analysis. Zbl 1371.46003Jorgensen, Palle; Tian, Feng 10 2017 Symmetric pairs of unbounded operators in Hilbert space, and their applications in mathematical physics. Zbl 1424.47055Jorgensen, Palle E. T.; Pearse, Erin P. J. 7 2017 Characterizations of families of rectangular, finite impulse response, para-unitary systems. Zbl 1409.93022Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak 3 2017 Generalized Gramians: creating frame vectors in maximal subspaces. Zbl 1384.42022Jorgensen, Palle; Tian, Feng 3 2017 Transfer operators, induced probability spaces, and random walk models. Zbl 1500.47123Jorgensen, P.; Tian, F. 2 2017 Trotter’s limit formula for the Schrödinger equation with singular potential. Zbl 1377.81045Nathanson, 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 1365.46060Jørgensen, Palle E. T. 1 2017 Extensions of positive definite functions. Applications and their harmonic analysis. Zbl 1355.43001Jorgensen, Palle; Pedersen, Steen; Tian, Feng 8 2016 Nonuniform sampling, reproducing kernels, and the associated Hilbert spaces. Zbl 1393.47047Jorgensen, Palle; Tian, Feng 6 2016 Symmetric pairs and self-adjoint extensions of operators, with applications to energy networks. Zbl 1353.05080Jorgensen, Palle E. T.; Pearse, Erin P. J. 5 2016 A new realization of rational functions, with applications to linear combination interpolation, the Cuntz relations and kernel decompositions. Zbl 1337.30048Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak; Volok, Dan 5 2016 Positive definite kernels and boundary spaces. Zbl 1359.42004Jorgensen, Palle; Tian, Feng 5 2016 Characterizations of rectangular (para)-unitary rational functions. Zbl 1376.26013Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak 4 2016 Graph Laplacians and discrete reproducing kernel Hilbert spaces from restrictions. Zbl 1380.46020Jorgensen, Palle; Tian, Feng 4 2016 Reflection positive stochastic processes indexed by Lie groups. Zbl 1343.22008Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur 2 2016 Infinite-dimensional Lie algebras, representations, Hermitian duality and the operators of stochastic calculus. Zbl 1415.46043Jorgensen, Palle; Tian, Feng 1 2016 Asymptotic free probability for arithmetic functions and factorization of Dirichlet series. Zbl 1353.05126Cho, 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 1335.60053Alpay, Daniel; Jorgensen, Palle 15 2015 Representations of Cuntz-Krieger relations, dynamics on Bratteli diagrams, and path-space measures. Zbl 1351.46064Bezuglyi, S.; Jorgensen, Palle E. T. 15 2015 Moment problems in an infinite number of variables. Zbl 1336.44004Alpay, Daniel; Jorgensen, Palle E. T.; Kimsey, David P. 13 2015 Atomic representations of Cuntz algebras. Zbl 1326.46043Dutkay, Dorin Ervin; Haussermann, John; Jorgensen, Palle E. T. 11 2015 Discrete reproducing kernel Hilbert spaces: sampling and distribution of Dirac-masses. Zbl 1351.46021Jorgensen, Palle; Tian, Feng 8 2015 Harmonic analysis of a class of reproducing kernel Hilbert spaces arising from groups. Zbl 1359.43004Jorgensen, Palle E. T.; Pedersen, Steen; Tian, Feng 6 2015 Frames and factorization of graph Laplacians. Zbl 1359.47055Jorgensen, Palle; Tian, Feng 6 2015 Infinite product representations for kernels and iterations of functions. Zbl 1376.46020Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak; Martziano, Itzik 6 2015 Spectral theory of multiple intervals. Zbl 1304.47082Jorgensen, Palle; Pedersen, Steen; Tian, Feng 5 2015 Representations of Cuntz algebras associated to quasi-stationary Markov measures. Zbl 1352.37027Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 5 2015 A global solution to the Schrödinger equation: from Henstock to Feynman. Zbl 1322.81031Nathanson, Ekaterina S.; Jørgensen, Palle E. T. 5 2015 Infinite networks and variation of conductance functions in discrete Laplacians. Zbl 1328.35257Jorgensen, Palle; Tian, Feng 4 2015 Unitary groups and spectral sets. Zbl 1325.47020Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 2 2015 Extension of positive definite functions. Zbl 1298.43005Jorgensen, Palle E. T.; Niedzialomski, Robert 2 2015 Spectra of measures and wandering vectors. Zbl 1316.42008Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 1 2015 Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs. Zbl 1319.05150Cho, Ilwoo; Jorgensen, Palle E. T. 1 2015 Unbounded operators, Lie algebras, and local representations. Zbl 1334.47071Jorgensen, Palle E. T.; Tian, Feng 1 2015 Modulated Haar wavelet analysis of climatic background noise. Zbl 1337.86008Zhang, Zhihua; Jorgensen, Palle E. T. 1 2015 Reproducing kernel Hilbert space vs. frame estimates. Zbl 1330.42018Jorgensen, Palle E. T.; Song, Myung-Sin 1 2015 Realizations of infinite products, Ruelle operators and wavelet filters. Zbl 1326.42040Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak 1 2015 On free stochastic processes and their derivatives. Zbl 1296.60181Alpay, Daniel; Jorgensen, Palle; Salomon, Guy 19 2014 Monic representations of the Cuntz algebra and Markov measures. Zbl 1303.47030Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 12 2014 Krein-space representations of arithmetic functions determined by primes. Zbl 1305.05233Cho, Ilwoo; Jorgensen, Palle E. T. 10 2014 Relative reproducing kernel Hilbert spaces. Zbl 1311.46024Alpay, Daniel; Jorgensen, Palle; Volok, Dan 8 2014 Spectral comparisons between networks with different conductance functions. Zbl 1389.47069Jorgensen, Palle E. T.; Pearse, Erin P. J. 7 2014 Scaling by \(5\) on a \(\frac{1}{4}\)-Cantor measure. Zbl 1329.42006Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 7 2014 Restrictions and extensions of semibounded operators. Zbl 1327.47017Jorgensen, Palle; Pedersen, Steen; Tian, Feng 4 2014 Scalar spectral measures associated with an operator-fractal. Zbl 1286.47017Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 4 2014 Reproducing kernel Hilbert spaces generated by the binomial coefficients. Zbl 1332.46035Alpay, Daniel; Jorgensen, Palle 3 2014 Actions of arithmetic functions on matrices and corresponding representations. Zbl 1309.46037Cho, Ilwoo; Jorgensen, Palle 3 2014 Additive spectra of the \(\frac 14\) Cantor measure. Zbl 1307.42002Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 2 2014 The role of transfer operators and shifts in the study of fractals: encoding-models, analysis and geometry, commutative and non-commutative. Zbl 1318.28022Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 2 2014 Von Neumann indices and classes of positive definite functions. Zbl 1316.43002Jorgensen, Palle; Tian, Feng 1 2014 Algebras, graphs and their applications. Edited by Palle E. T. Jorgensen. Zbl 1282.05002Cho, Ilwoo 1 2014 A universal envelope for Gaussian processes and their kernels. Zbl 1310.46028Jørgensen, Palle E. T. 1 2014 A discrete Gauss-Green identity for unbounded Laplace operators, and the transience of random walks. Zbl 1275.05054Jorgensen, Palle E. T.; Pearse, Erin P. J. 18 2013 On discrete analytic functions: products, rational functions and reproducing kernels. Zbl 1295.30107Alpay, Daniel; Jorgensen, Palle; Seager, Ron; Volok, Dan 15 2013 Krein-space operators induced by Dirichlet characters. Zbl 1322.11065Cho, Ilwoo; Jorgensen, Palle E. T. 12 2013 Representation formulas for Hardy space functions through the Cuntz relations and new interpolation problems. Zbl 1316.41001Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak; Marziano, Itzik 10 2013 On the universal tiling conjecture in dimension one. Zbl 1308.42003Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 9 2013 Parametrizations of all wavelet filters: input-output and state-space. Zbl 1346.94013Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak 7 2013 Extending wavelet filters: infinite dimensions, the nonrational case, and indefinite inner product spaces. Zbl 1311.65176Alpay, Daniel; Jorgensen, Palle; Lewkowicz, Izchak 7 2013 Multiplication operators on the energy space. Zbl 1278.47029Jorgensen, Palle E. T.; Pearse, Erin P. J. 5 2013 Momentum operators in two intervals: spectra and phase transition. Zbl 1303.47086Jorgensen, Palle E. T.; Pedersen, Steen; Tian, Feng 4 2013 Compactification of infinite graphs and sampling. Zbl 1346.42047Jorgensen, Palle E. T.; Song, Myung-Sin 3 2013 Isospectral measures. Zbl 1305.28020Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 2 2013 On common fundamental domains. Zbl 1279.22035Dutkay, Dorin Ervin; Han, Deguang; Jorgensen, Palle E. T.; Picioroaga, Gabriel 2 2013 Fourier duality for fractal measures with affine scales. Zbl 1277.47033Dutkay, Dorin Ervin; Jorgensen, Palle E. T. 22 2012 Stochastic processes induced by singular operators. Zbl 1260.60137Alpay, Daniel; Jorgensen, Palle E. T. 15 2012 An operator-fractal. Zbl 1310.28007Jorgensen, Palle E. T.; Kornelson, Keri A.; Shuman, Karen L. 9 2012 On fractional Brownian motion and wavelets. Zbl 1279.42038Albeverio, S.; Jorgensen, P. E. T.; Paolucci, A. M. 9 2012 ...and 206 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 851 Authors 207 Jørgensen, Palle E. T. 52 Cho, Ilwoo 49 Dutkay, Dorin Ervin 30 Li, Jianlin 26 Alpay, Daniel Aron 24 Bratteli, Ola 19 Tian, Feng 18 Dong, Xinhan 16 Packer, Judith A. 16 Pedersen, Steen 16 Robinson, Derek W. 15 Lai, Chun-Kit 15 Liu, Jingcheng 14 Han, Deguang 14 Ólafsson, Gestur 14 Weber, Eric S. 13 He, Xinggang 13 Neeb, Karl-Hermann 13 Silvestrov, Sergei D. 12 Chen, Ming-Liang 10 Merrill, Kathy D. 10 Pinto, Paulo R. F. 9 Fu, Yan-Song 9 Proskurin, Daniil P. 9 Song, Myung-Sin 9 Tang, Min-wei 8 An, Lixiang 8 Baggett, Lawrence Wasson 8 Evans, David E. 8 Gabardo, Jean-Pierre 8 Kang, Sooran 8 Kawamura, Katsunori 8 Li, Yunzhang 8 Stochel, Jan 8 Turowska, Lyudmila B. 8 Wu, Zhiyi 7 Elliott, George A. 7 Farsi, Carla 7 Gillaspy, Elizabeth 7 Kornelson, Keri A. 7 Lau, Kasing 7 Lawson, Mark Verus 7 Paolucci, Anna Maria 7 Pearse, Erin Peter James 7 Su, Juan 7 Sun, Qiyu 7 Wang, Yang 6 Aldroubi, Akram 6 Correia Ramos, Carlos 6 Dai, Xinrong 6 González, Benito Juan 6 Goodman, Frederick M. 6 Herr, John E. 6 Lewkowicz, Izchak 6 Negrin, Emilio R. 6 Picioroaga, Gabriel 6 Schmüdgen, Konrad 6 Shuman, Karen L. 5 Conti, Roberto 5 Haussermann, John 5 Keller, Matthias 5 Kishimoto, Akitaka 5 Klimek, Slawomir 5 Larsen, Nadia S. 5 Larson, David Royal 5 Liu, Zongsheng 5 Lu, Zhengyi 5 Marcolli, Matilde 5 Mcbride, Matt 5 Moslehian, Mohammad Sal 5 Ogata, Yoshiko 5 Price, Geoffrey L. 5 Royer, Danilo 5 Sebestyén, Zoltán 5 Strichartz, Robert S. 5 Tian, James F. 5 Wang, Zhimin 5 Zhang, Pengfei 4 Bezuglyi, Sergey I. 4 Davison, Trubee 4 de Snoo, Hendrik S. V. 4 Deng, Qirong 4 Fu, Xiaoye 4 Golénia, Sylvain 4 Gonçalves, Daniel 4 Greenfeld, Rachel 4 Infusino, Maria 4 Łaba, Izabella 4 Lenz, Daniel H. 4 Lev, Nir 4 Li, Haixiong 4 Li, Qian 4 Mohari, Anilesh 4 Mundici, Daniele 4 Nakazato, Hiroshi 4 Nashed, M. Zuhair 4 Navascués, María Antonia 4 Park, Choonkil 4 Raeburn, Iain 4 Shah, Firdous Ahmad ...and 751 more Authors all top 5 Cited in 198 Serials 121 Journal of Functional Analysis 80 Journal of Mathematical Analysis and Applications 48 Journal of Mathematical Physics 42 Complex Analysis and Operator Theory 36 Acta Applicandae Mathematicae 33 Proceedings of the American Mathematical Society 27 Transactions of the American Mathematical Society 25 The Journal of Fourier Analysis and Applications 22 Advances in Mathematics 20 Communications in Mathematical Physics 16 Fractals 15 Numerical Functional Analysis and Optimization 14 Publications of the Research Institute for Mathematical Sciences, Kyoto University 13 Integral Equations and Operator Theory 12 Applied and Computational Harmonic Analysis 11 Forum Mathematicum 11 Opuscula Mathematica 10 Mathematische Annalen 10 Linear Algebra and its Applications 10 Science China. 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Symmetry, Integrability and Geometry: Methods and Applications 3 Mathematics in Computer Science 3 Journal of Noncommutative Geometry 3 Operators and Matrices 3 Special Matrices 2 Communications in Algebra 2 Journal of Statistical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nonlinearity 2 Physics Letters. A 2 Theoretical and Mathematical Physics 2 Ukrainian Mathematical Journal 2 Chaos, Solitons and Fractals 2 Compositio Mathematica 2 Dissertationes Mathematicae 2 Journal of Algebra 2 Journal of Pure and Applied Algebra 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Quarterly of Applied Mathematics 2 Tôhoku Mathematical Journal. Second Series 2 Probability Theory and Related Fields 2 Revista Matemática Iberoamericana 2 International Journal of Algebra and Computation 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Russian Mathematics 2 Experimental Mathematics ...and 98 more Serials all top 5 Cited in 56 Fields 447 Functional analysis (46-XX) 353 Harmonic analysis on Euclidean spaces (42-XX) 348 Operator theory (47-XX) 230 Measure and integration (28-XX) 117 Quantum theory (81-XX) 90 Probability theory and stochastic processes (60-XX) 85 Topological groups, Lie groups (22-XX) 84 Combinatorics (05-XX) 74 Abstract harmonic analysis (43-XX) 67 Dynamical systems and ergodic theory (37-XX) 53 Partial differential equations (35-XX) 49 Number theory (11-XX) 42 Numerical analysis (65-XX) 39 Information and communication theory, circuits (94-XX) 37 Global analysis, analysis on manifolds (58-XX) 36 Group theory and generalizations (20-XX) 29 Nonassociative rings and algebras (17-XX) 29 Functions of a complex variable (30-XX) 25 Statistical mechanics, structure of matter (82-XX) 21 Potential theory (31-XX) 21 Convex and discrete geometry (52-XX) 19 Real functions (26-XX) 18 Integral transforms, operational calculus (44-XX) 17 Associative rings and algebras (16-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Difference and functional equations (39-XX) 15 Approximations and expansions (41-XX) 11 Special functions (33-XX) 11 Statistics (62-XX) 11 Computer science (68-XX) 10 Category theory; homological algebra (18-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Ordinary differential equations (34-XX) 9 General topology (54-XX) 9 Systems theory; control (93-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) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 2 Sequences, series, summability (40-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General algebraic systems (08-XX) 1 \(K\)-theory (19-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Citations by Year