Edit Profile (opens in new tab) Geronimo, Jeffrey S. Co-Author Distance Author ID: geronimo.jeffrey-s Published as: Geronimo, Jeffrey S.; Geronimo, J. S.; Geronimo, Jeffery S.; Geronimo, J. more...less Documents Indexed: 106 Publications since 1979, including 3 Additional arXiv Preprints Co-Authors: 59 Co-Authors with 92 Joint Publications 1,941 Co-Co-Authors all top 5 Co-Authors 14 single-authored 13 Barnsley, Michael Fielding 13 Hardin, Douglas P. 12 Iliev, Plamen 12 Van Assche, Walter 11 Harrington, Andrew N. 7 Donovan, George C. 6 Woerdeman, Hugo Jan 4 Bessis, Daniel 4 Moussa, Pierre 3 Marcellán Español, Francisco 3 Massopust, Peter R. 3 Smith, Dale T. 2 Aptekarev, Alexander Ivanovich 2 Carlen, Eric Anders 2 Case, Kenneth M. 2 Dager, L. D. 2 Delgado, Antonia M. 2 Deliu, Anca 2 Demko, Stephen G. 2 Elton, John H. 2 Gesztesy, Fritz 2 Holden, Helge 2 Johnson, Russell Allan 2 Knese, Greg 2 Loss, Michael 2 Nevai, Paul G. 1 Atkinson, Bruce W. 1 Barrios Rolanía, D. 1 Bedford, Tim 1 Bellissard, Jean V. 1 Benge, Philip 1 Borodachov, Sergiy V. 1 Bruff, Derek O. 1 Bruno, Oscar P. 1 Castro, Glaysar 1 Deckers, Karl 1 Derevyagin, Maxim S. 1 Erdélyi, Tamás 1 Garoufalidis, Stavros 1 Golinskii, Leonid Borisovich 1 Harrell, Evans M. II 1 Hayes, Monson H. III 1 Hill, Theodore Preston 1 King, James F. 1 Kuijlaars, Arno B. J. 1 Lai, Mingjun 1 Liechty, Karl 1 López Lagomasino, Guillermo Tomás 1 Lubinsky, Doron S. 1 Martínez-Finkelshtein, Andrei 1 Mazel, David S. 1 Navelet, Henri 1 Pangia, Andrew C. 1 Teplyaev, Alexander 1 Volberg, Alexander Lvovich 1 Wong, Chung Y. 1 Xu, Yuan 1 Yuditskii, Peter Meerovich 1 Zhang, John Z. H. all top 5 Serials 17 Journal of Approximation Theory 8 Constructive Approximation 8 SIAM Journal on Mathematical Analysis 5 Journal of Mathematical Physics 5 Transactions of the American Mathematical Society 4 Communications in Mathematical Physics 2 Journal of Statistical Physics 2 Advances in Mathematics 2 Journal of Functional Analysis 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Matrix Analysis and Applications 2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 2 The Ramanujan Journal 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Integral Equations and Operator Theory 1 Journal of Differential Equations 1 SIAM Journal on Numerical Analysis 1 Ergodic Theory and Dynamical Systems 1 Circuits, Systems, and Signal Processing 1 Signal Processing 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 IEEE Transactions on Acoustics, Speech, and Signal Processing 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Complex Analysis and Operator Theory 1 Journal of Fractal Geometry 1 IEEE Transactions on Circuits and Systems I: Regular Papers all top 5 Fields 57 Harmonic analysis on Euclidean spaces (42-XX) 27 Special functions (33-XX) 24 Functions of a complex variable (30-XX) 22 Approximations and expansions (41-XX) 21 Operator theory (47-XX) 19 Dynamical systems and ergodic theory (37-XX) 12 Difference and functional equations (39-XX) 10 Measure and integration (28-XX) 8 Numerical analysis (65-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Quantum theory (81-XX) 2 Potential theory (31-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 1,509 times in 1,097 Documents Cited by ▼ Year ▼ Fractal functions and wavelet expansions based on several scaling functions. Zbl 0806.41016 Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R. 119 1994 Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities. Zbl 0653.60057 Barnsley, M. F; Demko, S. G.; Elton, J. H.; Geronimo, J. S. 91 1988 Construction of orthogonal wavelets using fractal interpolation functions. Zbl 0873.42021 Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R. 73 1996 Orthogonal polynomials on several intervals via a polynomial mapping. Zbl 0652.42009 Geronimo, J. S.; Van Assche, Walter 71 1988 Riemann-Hilbert problems for multiple orthogonal polynomials. Zbl 0997.42012 Van Assche, Walter; Geronimo, Jeffrey S.; Kuijlaars, Arno B. J. 68 2001 Scattering theory and matrix orthogonal polynomials on the real line. Zbl 0506.15010 Geronimo, J. S. 62 1982 Orthogonal polynomials with asymptotically periodic recurrent coefficients. Zbl 0604.42023 Geronimo, J. S.; Van Assche, Walter 57 1986 Scattering theory and polynomials orthogonal on the real line. Zbl 0436.42018 Geronimo, J. S.; Case, K. M. 53 1980 Scattering theory and polynomials orthogonal on the unit circle. Zbl 0439.33014 Geronimo, J. S.; Case, K. M. 47 1979 Positive extension, Fejér-Riesz factorization and autoregressive filters in two variables. Zbl 1084.42019 Geronimo, Jeffrey S.; Woerdeman, Hugo J. 41 2005 Fractal interpolation surfaces and a related 2-D multiresolution analysis. Zbl 0778.65009 Geronimo, J. S.; Hardin, D. 40 1993 Intertwining multiresolution analyses and the construction of piecewise-polynomial wavelets. Zbl 0857.42023 Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P. 39 1996 Bispectrality of multivariable Racah-Wilson polynomials. Zbl 1208.47034 Geronimo, Jeffrey S.; Iliev, Plamen 38 2010 Orthogonal polynomials associated with invariant measures on Julia sets. Zbl 0509.30023 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 34 1982 Algebro-geometric solutions of the Baxter-Szegő difference equation. Zbl 1080.37075 Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge 32 2005 Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform. Zbl 1030.44003 Geronimo, Jeffrey S.; Hill, Theodore P. 30 2003 Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets. Zbl 0932.42021 Donovan, G. C.; Geronimo, J. S.; Hardin, D. P. 26 1999 Matrix orthogonal polynomials on the unit circle. Zbl 0505.42019 Geronimo, Jeffrey S. 23 1981 An exact formula for the measure dimensions associated with a class of piecewise linear maps. Zbl 0666.28004 Geronimo, J. S.; Hardin, D. P. 22 1989 Factorization of multivariate positive Laurent polynomials. Zbl 1099.12001 Geronimo, Jeffrey S.; Lai, Ming-Jun 21 2006 Mellin transforms associated with Julia sets and physical applications. Zbl 0602.58028 Bessis, D.; Geronimo, J. S.; Moussa, P. 21 1984 Infinite-dimensional Jacobi matrices associated with Julia sets. Zbl 0535.30025 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 20 1983 Approximating the weight function for orthogonal polynomials on several intervals. Zbl 0774.42015 Geronimo, J. S.; Van Assche, Walter 18 1991 A simple proof of “Favard’s theorem” on the unit circle. Zbl 0753.33004 Erdélyi, Tamás; Nevai, Paul; Zhang, John; Geronimo, Jeffery S. 17 1991 On the invariant sets of a family of quadratic maps. Zbl 0535.30024 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 16 1983 WKB (Liouville-Green) analysis of second order difference equations and applications. Zbl 0764.41030 Geronimo, Jeffrey S.; Smith, Dale T. 16 1992 Asymptotics for orthogonal polynomials with regularly varying recurrence coefficients. Zbl 0694.41039 Van Assche, Walter; Geronimo, Jeffrey S. 15 1989 A difference equation arising from the trigonometric moment problem having random reflection coefficients – an operator theoretic approach. Zbl 0820.47016 Geronimo, J. S.; Teplyaev, A. 15 1994 Asymptotics for orthogonal polynomials on and off the essential spectrum. Zbl 0663.41029 Van Assche, Walter; Geronimo, Jeffrey S. 14 1988 Almost periodic Jacobi matrices associated with Julia sets for polynomials. Zbl 0574.58016 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 14 1985 Rotation number associated with difference equations satisfied by polynomials orthogonal on the unit circle. Zbl 0863.39003 Geronimo, J. S.; Johnson, R. A. 14 1996 Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials. Zbl 0566.41033 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 13 1983 Determination of the spectral gap in the Kac model for physical momentum and energy-conserving collisions. Zbl 1163.82007 Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael 13 2008 On the asymptotic distribution of eigenvalues of banded matrices. Zbl 0646.15004 Geronimo, Jeffrey S.; Harrell, Evans M. II; Van Assche, Walter 12 1988 On the spectra of infinite-dimensional Jacobi matrices. Zbl 0671.47021 Geronimo, J. S. 12 1988 Asymptotics for Sobolev orthogonal polynomials for exponential weights. Zbl 1105.42016 Geronimo, J. S.; Lubinsky, D. S.; Marcellan, F. 12 2005 Dimensions associated with recurrent self-similar sets. Zbl 0742.28002 Deliu, Anca; Geronimo, J. S.; Shonkwiler, R.; Hardin, D. 12 1991 A relation between the coefficients in the recurrence formula and the spectral function for orthogonal polynomials. Zbl 0445.42002 Geronimo, Jeffrey S. 12 1980 Function weighted measures and orthogonal polynomials on Julia sets. Zbl 0635.42021 Bessis, D.; Geronimo, J. S.; Moussa, P. 11 1988 An upper bound on the number of eigenvalues of an infinite dimensional Jacobi matrix. Zbl 0492.42016 Geronimo, Jeffrey S. 11 1982 Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients. Zbl 0705.42018 Geronimo, Jeffrey S.; Van Assche, Walter 11 1990 Scattering theory, orthogonal polynomials, and \(q\)-series. Zbl 0802.42019 Geronimo, Jeffrey S. 11 1994 Singularity spectrum for recurrent IFS attractors. Zbl 0791.28004 King, J. F.; Geronimo, J. S. 10 1993 Erratum: Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities. Zbl 0715.60086 Barnsley, M. F.; Demko, S. G.; Elton, J. H.; Geronimo, J. S. 10 1989 Multivariable Askey-Wilson function and bispectrality. Zbl 1221.33031 Geronimo, Jeffrey S.; Iliev, Plamen 10 2011 Measures for orthogonal polynomials with unbounded recurrence coefficients. Zbl 1343.42037 Aptekarev, A. I.; Geronimo, J. S. 10 2016 An inverse problem associated with polynomials orthogonal on the unit circle. Zbl 0943.42017 Geronimo, J. S.; Johnson, R. 9 1998 Two variable orthogonal polynomials on the bicircle and structured matrices. Zbl 1149.42015 Geronimo, Jeffrey S.; Woerdeman, Hugo 9 2007 Asymptotics of \(q\)-difference equations. Zbl 1144.57005 Garoufalidis, Stavros; Geronimo, Jeffrey S. 8 2006 Necessary and sufficient conditions relating the coefficients in the recurrence formula to the spectral function for orthogonal polynomials. Zbl 0517.42031 Geronimo, Jeffrey S.; Nevai, Paul G. 8 1983 On the Markov sequence problem for Jacobi polynomials. Zbl 1228.31002 Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael 8 2011 Two-variable polynomials: intersecting zeros and stability. Zbl 1374.15025 Geronimo, Jeffrey S.; Woerdeman, Hugo J. 8 2006 Two variable orthogonal polynomials and structured matrices. Zbl 1136.42305 Delgado, Antonia M.; Geronimo, Jeffrey S.; Iliev, Plamen; Marcellán, Francisco 7 2006 WKB and turning point theory for second-order difference equations. Zbl 1064.39018 Geronimo, Jeffrey S.; Bruno, Oscar; van Assche, Walter 7 2004 High-order recurrence relations, Hermite-Padé approximation and Nikishin systems. Zbl 1401.30037 Barrios Rolanía, D.; Geronimo, J. S.; López Lagomasino, G. 7 2018 Condensed Julia sets, with an application to a fractal lattice model Hamiltonian. Zbl 0565.30018 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 6 1985 An application of Coxeter groups to the construction of wavelet bases in \(\mathbb{R}^ n\). Zbl 0861.42025 Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R. 6 1994 Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. Zbl 1143.42027 Aptekarev, A. I.; Geronimo, J. S.; Van Assche, W. 5 2008 Some tree-like Julia sets and Padé approximants. Zbl 0532.41023 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 5 1983 Geometrical and electrical properties of some Julia sets. Zbl 0548.30021 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 5 1984 On the inverse fractal problem for two-dimensional attractors. Zbl 0886.58068 Deliu, A.; Geronimo, J.; Shonkwiler, R. 5 1997 Strong asymptotics for orthogonal polynomials with regularly and slowly varying recurrence coefficients. Zbl 0772.42012 Geronimo, J. S.; Smith, D.; Van Assche, Walter 5 1993 Bernstein-Szegő measures, Banach algebras, and scattering theory. Zbl 1367.47037 Geronimo, Jeffrey S.; Iliev, Plamen 5 2017 Compactly supported, piecewise affine scaling functions on triangulations. Zbl 0962.42025 Donovan, G. C.; Geronimo, J. S.; Hardin, D. P. 4 2000 Polynomials with no zeros on a face of the bidisk. Zbl 1335.42031 Geronimo, Jeffrey S.; Iliev, Plamen; Knese, Greg 4 2016 Alpert multiwavelets and Legendre-Angelesco multiple orthogonal polynomials. Zbl 1359.42016 Geronimo, Jeffrey S.; Iliev, Plamen; van Assche, Walter 4 2017 Fejér-Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle. Zbl 1303.42010 Geronimo, Jeffrey S.; Iliev, Plamen 4 2014 A class of orthogonal multiresolution analyses in 2D. Zbl 0835.65159 Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P. 3 1995 Geometry and combinatorics of Julia sets of real quadratic maps. Zbl 0588.58054 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 3 1984 Szegö’s theorem for Hankel determinants. Zbl 0432.33008 Geronimo, J. S. 3 1979 Polynomials orthogonal on the unit circle with random recurrence coefficients. Zbl 0786.42013 Geronimo, J. S. 3 1993 On Alpert multiwavelets. Zbl 1322.42042 Geronimo, Jeffrey S.; Marcellán, Francisco 3 2015 Orthogonality relations for bivariate Bernstein-Szegő measures. Zbl 1318.42032 Geronimo, Jeffrey S.; Iliev, Plamen; Knese, Greg 3 2012 Ensembles de Julia et propriétés de localisation des familles itérées d’entiers algébriques. (Julia sets and localization properties of iterated families of algebraic integers). Zbl 0563.30018 Moussa, Pierre; Geronimo, Jeffrey S.; Bessis, Daniel 2 1984 On a two-variable class of Bernstein-Szegő measures. Zbl 1171.42306 Delgado, Antonia M.; Geronimo, Jeffrey S.; Iliev, Plamen; Xu, Yuan 2 2009 On the geometric sequences of reflection coefficients. Zbl 0714.33009 Mazel, David S.; Geronimo, Jeffery S.; Hayes, Monson H. III 2 1990 Are they limit periodic? Zbl 1136.47017 Bellissard, J.; Geronimo, J.; Volberg, A.; Yuditskii, P. 2 2005 Two variable deformations of the Chebyshev measure. Zbl 1268.42043 Geronimo, Jeffrey S.; Iliev, Plamen 2 2008 A hypergeometric basis for the Alpert multiresolution analysis. Zbl 1317.42031 Geronimo, Jeffrey S.; Iliev, Plamen 2 2015 Polynomials orthogonal with respect to singular continuous measures. Zbl 0643.42015 Geronimo, J. S. 1 1988 On Baxter’s difference systems. Zbl 1260.39004 Geronimo, J. S.; Golinskii, L. 1 2011 The operator valued autoregressive filter problem and the suboptimal Nehari problem in two variables. Zbl 1098.47016 Geronimo, Jeffrey S.; Woerdeman, Hugo J. 1 2005 Construction of orthogonal multiwavelets using fractal interpolation functions. Zbl 0989.42024 Donovan, George; Geronimo, Jeffrey S.; Hardin, Douglas P. 1 1999 On extensions of a theorem of Baxter. Zbl 1100.42019 Geronimo, J. S.; Martínez-Finkelshtein, A. 1 2006 On certain integrals that appear in conformal field theory. Zbl 1062.81127 Geronimo, Jeffrey S.; Navelet, Henri 1 2003 Function weighted measures and orthogonal polynomials on Julia sets “Erratum to”. Zbl 0790.33009 Bessis, D.; Geronimo, J. S.; Moussa, P. 1 1990 Corrigendum to “WKB (Liouville-Green) analysis of second order difference equations and applications” [J. Approx. Theory 69 (1992) 269-301]. Zbl 1301.41023 Geronimo, Jeffrey S.; Smith, Dale T. 1 2014 A numerical algorithm for stable 2D autoregressive filter design. Zbl 1144.94316 Woerdeman, Hugo J.; Geronimo, Jeffrey S.; Castro, Glaysar 1 2003 Wavelets centered on a knot sequence: theory, construction, and applications. Zbl 1325.42038 Atkinson, Bruce W.; Bruff, Derek O.; Geronimo, Jeffrey S.; Hardin, Douglas P. 1 2015 Squeezable orthogonal bases: Accuracy and smoothness. Zbl 1026.42034 Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P. 1 2002 A topological separation condition for fractal attractors. Zbl 1336.28007 Bedford, Tim; Borodachov, Sergiy V.; Geronimo, Jeffrey S. 1 2014 The Fourier extension method and discrete orthogonal polynomials on an arc of the circle. Zbl 07184866 Geronimo, J. S.; Liechty, Karl 1 2020 The Fourier extension method and discrete orthogonal polynomials on an arc of the circle. Zbl 07184866 Geronimo, J. S.; Liechty, Karl 1 2020 High-order recurrence relations, Hermite-Padé approximation and Nikishin systems. Zbl 1401.30037 Barrios Rolanía, D.; Geronimo, J. S.; López Lagomasino, G. 7 2018 Bernstein-Szegő measures, Banach algebras, and scattering theory. Zbl 1367.47037 Geronimo, Jeffrey S.; Iliev, Plamen 5 2017 Alpert multiwavelets and Legendre-Angelesco multiple orthogonal polynomials. Zbl 1359.42016 Geronimo, Jeffrey S.; Iliev, Plamen; van Assche, Walter 4 2017 Measures for orthogonal polynomials with unbounded recurrence coefficients. Zbl 1343.42037 Aptekarev, A. I.; Geronimo, J. S. 10 2016 Polynomials with no zeros on a face of the bidisk. Zbl 1335.42031 Geronimo, Jeffrey S.; Iliev, Plamen; Knese, Greg 4 2016 On Alpert multiwavelets. Zbl 1322.42042 Geronimo, Jeffrey S.; Marcellán, Francisco 3 2015 A hypergeometric basis for the Alpert multiresolution analysis. Zbl 1317.42031 Geronimo, Jeffrey S.; Iliev, Plamen 2 2015 Wavelets centered on a knot sequence: theory, construction, and applications. Zbl 1325.42038 Atkinson, Bruce W.; Bruff, Derek O.; Geronimo, Jeffrey S.; Hardin, Douglas P. 1 2015 Fejér-Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle. Zbl 1303.42010 Geronimo, Jeffrey S.; Iliev, Plamen 4 2014 Corrigendum to “WKB (Liouville-Green) analysis of second order difference equations and applications” [J. Approx. Theory 69 (1992) 269-301]. Zbl 1301.41023 Geronimo, Jeffrey S.; Smith, Dale T. 1 2014 A topological separation condition for fractal attractors. Zbl 1336.28007 Bedford, Tim; Borodachov, Sergiy V.; Geronimo, Jeffrey S. 1 2014 Orthogonality relations for bivariate Bernstein-Szegő measures. Zbl 1318.42032 Geronimo, Jeffrey S.; Iliev, Plamen; Knese, Greg 3 2012 Multivariable Askey-Wilson function and bispectrality. Zbl 1221.33031 Geronimo, Jeffrey S.; Iliev, Plamen 10 2011 On the Markov sequence problem for Jacobi polynomials. Zbl 1228.31002 Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael 8 2011 On Baxter’s difference systems. Zbl 1260.39004 Geronimo, J. S.; Golinskii, L. 1 2011 Bispectrality of multivariable Racah-Wilson polynomials. Zbl 1208.47034 Geronimo, Jeffrey S.; Iliev, Plamen 38 2010 On a two-variable class of Bernstein-Szegő measures. Zbl 1171.42306 Delgado, Antonia M.; Geronimo, Jeffrey S.; Iliev, Plamen; Xu, Yuan 2 2009 Determination of the spectral gap in the Kac model for physical momentum and energy-conserving collisions. Zbl 1163.82007 Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael 13 2008 Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. Zbl 1143.42027 Aptekarev, A. I.; Geronimo, J. S.; Van Assche, W. 5 2008 Two variable deformations of the Chebyshev measure. Zbl 1268.42043 Geronimo, Jeffrey S.; Iliev, Plamen 2 2008 Two variable orthogonal polynomials on the bicircle and structured matrices. Zbl 1149.42015 Geronimo, Jeffrey S.; Woerdeman, Hugo 9 2007 Factorization of multivariate positive Laurent polynomials. Zbl 1099.12001 Geronimo, Jeffrey S.; Lai, Ming-Jun 21 2006 Asymptotics of \(q\)-difference equations. Zbl 1144.57005 Garoufalidis, Stavros; Geronimo, Jeffrey S. 8 2006 Two-variable polynomials: intersecting zeros and stability. Zbl 1374.15025 Geronimo, Jeffrey S.; Woerdeman, Hugo J. 8 2006 Two variable orthogonal polynomials and structured matrices. Zbl 1136.42305 Delgado, Antonia M.; Geronimo, Jeffrey S.; Iliev, Plamen; Marcellán, Francisco 7 2006 On extensions of a theorem of Baxter. Zbl 1100.42019 Geronimo, J. S.; Martínez-Finkelshtein, A. 1 2006 Positive extension, Fejér-Riesz factorization and autoregressive filters in two variables. Zbl 1084.42019 Geronimo, Jeffrey S.; Woerdeman, Hugo J. 41 2005 Algebro-geometric solutions of the Baxter-Szegő difference equation. Zbl 1080.37075 Geronimo, Jeffrey S.; Gesztesy, Fritz; Holden, Helge 32 2005 Asymptotics for Sobolev orthogonal polynomials for exponential weights. Zbl 1105.42016 Geronimo, J. S.; Lubinsky, D. S.; Marcellan, F. 12 2005 Are they limit periodic? Zbl 1136.47017 Bellissard, J.; Geronimo, J.; Volberg, A.; Yuditskii, P. 2 2005 The operator valued autoregressive filter problem and the suboptimal Nehari problem in two variables. Zbl 1098.47016 Geronimo, Jeffrey S.; Woerdeman, Hugo J. 1 2005 WKB and turning point theory for second-order difference equations. Zbl 1064.39018 Geronimo, Jeffrey S.; Bruno, Oscar; van Assche, Walter 7 2004 Necessary and sufficient condition that the limit of Stieltjes transforms is a Stieltjes transform. Zbl 1030.44003 Geronimo, Jeffrey S.; Hill, Theodore P. 30 2003 On certain integrals that appear in conformal field theory. Zbl 1062.81127 Geronimo, Jeffrey S.; Navelet, Henri 1 2003 A numerical algorithm for stable 2D autoregressive filter design. Zbl 1144.94316 Woerdeman, Hugo J.; Geronimo, Jeffrey S.; Castro, Glaysar 1 2003 Squeezable orthogonal bases: Accuracy and smoothness. Zbl 1026.42034 Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P. 1 2002 Riemann-Hilbert problems for multiple orthogonal polynomials. Zbl 0997.42012 Van Assche, Walter; Geronimo, Jeffrey S.; Kuijlaars, Arno B. J. 68 2001 Compactly supported, piecewise affine scaling functions on triangulations. Zbl 0962.42025 Donovan, G. C.; Geronimo, J. S.; Hardin, D. P. 4 2000 Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets. Zbl 0932.42021 Donovan, G. C.; Geronimo, J. S.; Hardin, D. P. 26 1999 Construction of orthogonal multiwavelets using fractal interpolation functions. Zbl 0989.42024 Donovan, George; Geronimo, Jeffrey S.; Hardin, Douglas P. 1 1999 An inverse problem associated with polynomials orthogonal on the unit circle. Zbl 0943.42017 Geronimo, J. S.; Johnson, R. 9 1998 On the inverse fractal problem for two-dimensional attractors. Zbl 0886.58068 Deliu, A.; Geronimo, J.; Shonkwiler, R. 5 1997 Construction of orthogonal wavelets using fractal interpolation functions. Zbl 0873.42021 Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R. 73 1996 Intertwining multiresolution analyses and the construction of piecewise-polynomial wavelets. Zbl 0857.42023 Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P. 39 1996 Rotation number associated with difference equations satisfied by polynomials orthogonal on the unit circle. Zbl 0863.39003 Geronimo, J. S.; Johnson, R. A. 14 1996 A class of orthogonal multiresolution analyses in 2D. Zbl 0835.65159 Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P. 3 1995 Fractal functions and wavelet expansions based on several scaling functions. Zbl 0806.41016 Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R. 119 1994 A difference equation arising from the trigonometric moment problem having random reflection coefficients – an operator theoretic approach. Zbl 0820.47016 Geronimo, J. S.; Teplyaev, A. 15 1994 Scattering theory, orthogonal polynomials, and \(q\)-series. Zbl 0802.42019 Geronimo, Jeffrey S. 11 1994 An application of Coxeter groups to the construction of wavelet bases in \(\mathbb{R}^ n\). Zbl 0861.42025 Geronimo, Jeffrey S.; Hardin, Douglas P.; Massopust, Peter R. 6 1994 Fractal interpolation surfaces and a related 2-D multiresolution analysis. Zbl 0778.65009 Geronimo, J. S.; Hardin, D. 40 1993 Singularity spectrum for recurrent IFS attractors. Zbl 0791.28004 King, J. F.; Geronimo, J. S. 10 1993 Strong asymptotics for orthogonal polynomials with regularly and slowly varying recurrence coefficients. Zbl 0772.42012 Geronimo, J. S.; Smith, D.; Van Assche, Walter 5 1993 Polynomials orthogonal on the unit circle with random recurrence coefficients. Zbl 0786.42013 Geronimo, J. S. 3 1993 WKB (Liouville-Green) analysis of second order difference equations and applications. Zbl 0764.41030 Geronimo, Jeffrey S.; Smith, Dale T. 16 1992 Approximating the weight function for orthogonal polynomials on several intervals. Zbl 0774.42015 Geronimo, J. S.; Van Assche, Walter 18 1991 A simple proof of “Favard’s theorem” on the unit circle. Zbl 0753.33004 Erdélyi, Tamás; Nevai, Paul; Zhang, John; Geronimo, Jeffery S. 17 1991 Dimensions associated with recurrent self-similar sets. Zbl 0742.28002 Deliu, Anca; Geronimo, J. S.; Shonkwiler, R.; Hardin, D. 12 1991 Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients. Zbl 0705.42018 Geronimo, Jeffrey S.; Van Assche, Walter 11 1990 On the geometric sequences of reflection coefficients. Zbl 0714.33009 Mazel, David S.; Geronimo, Jeffery S.; Hayes, Monson H. III 2 1990 Function weighted measures and orthogonal polynomials on Julia sets “Erratum to”. Zbl 0790.33009 Bessis, D.; Geronimo, J. S.; Moussa, P. 1 1990 An exact formula for the measure dimensions associated with a class of piecewise linear maps. Zbl 0666.28004 Geronimo, J. S.; Hardin, D. P. 22 1989 Asymptotics for orthogonal polynomials with regularly varying recurrence coefficients. Zbl 0694.41039 Van Assche, Walter; Geronimo, Jeffrey S. 15 1989 Erratum: Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities. Zbl 0715.60086 Barnsley, M. F.; Demko, S. G.; Elton, J. H.; Geronimo, J. S. 10 1989 Invariant measures for Markov processes arising from iterated function systems with place-dependent probabilities. Zbl 0653.60057 Barnsley, M. F; Demko, S. G.; Elton, J. H.; Geronimo, J. S. 91 1988 Orthogonal polynomials on several intervals via a polynomial mapping. Zbl 0652.42009 Geronimo, J. S.; Van Assche, Walter 71 1988 Asymptotics for orthogonal polynomials on and off the essential spectrum. Zbl 0663.41029 Van Assche, Walter; Geronimo, Jeffrey S. 14 1988 On the asymptotic distribution of eigenvalues of banded matrices. Zbl 0646.15004 Geronimo, Jeffrey S.; Harrell, Evans M. II; Van Assche, Walter 12 1988 On the spectra of infinite-dimensional Jacobi matrices. Zbl 0671.47021 Geronimo, J. S. 12 1988 Function weighted measures and orthogonal polynomials on Julia sets. Zbl 0635.42021 Bessis, D.; Geronimo, J. S.; Moussa, P. 11 1988 Polynomials orthogonal with respect to singular continuous measures. Zbl 0643.42015 Geronimo, J. S. 1 1988 Orthogonal polynomials with asymptotically periodic recurrent coefficients. Zbl 0604.42023 Geronimo, J. S.; Van Assche, Walter 57 1986 Almost periodic Jacobi matrices associated with Julia sets for polynomials. Zbl 0574.58016 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 14 1985 Condensed Julia sets, with an application to a fractal lattice model Hamiltonian. Zbl 0565.30018 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 6 1985 Mellin transforms associated with Julia sets and physical applications. Zbl 0602.58028 Bessis, D.; Geronimo, J. S.; Moussa, P. 21 1984 Geometrical and electrical properties of some Julia sets. Zbl 0548.30021 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 5 1984 Geometry and combinatorics of Julia sets of real quadratic maps. Zbl 0588.58054 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 3 1984 Ensembles de Julia et propriétés de localisation des familles itérées d’entiers algébriques. (Julia sets and localization properties of iterated families of algebraic integers). Zbl 0563.30018 Moussa, Pierre; Geronimo, Jeffrey S.; Bessis, Daniel 2 1984 Infinite-dimensional Jacobi matrices associated with Julia sets. Zbl 0535.30025 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 20 1983 On the invariant sets of a family of quadratic maps. Zbl 0535.30024 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 16 1983 Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials. Zbl 0566.41033 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 13 1983 Necessary and sufficient conditions relating the coefficients in the recurrence formula to the spectral function for orthogonal polynomials. Zbl 0517.42031 Geronimo, Jeffrey S.; Nevai, Paul G. 8 1983 Some tree-like Julia sets and Padé approximants. Zbl 0532.41023 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 5 1983 Scattering theory and matrix orthogonal polynomials on the real line. Zbl 0506.15010 Geronimo, J. S. 62 1982 Orthogonal polynomials associated with invariant measures on Julia sets. Zbl 0509.30023 Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N. 34 1982 An upper bound on the number of eigenvalues of an infinite dimensional Jacobi matrix. Zbl 0492.42016 Geronimo, Jeffrey S. 11 1982 Matrix orthogonal polynomials on the unit circle. Zbl 0505.42019 Geronimo, Jeffrey S. 23 1981 Scattering theory and polynomials orthogonal on the real line. Zbl 0436.42018 Geronimo, J. S.; Case, K. M. 53 1980 A relation between the coefficients in the recurrence formula and the spectral function for orthogonal polynomials. Zbl 0445.42002 Geronimo, Jeffrey S. 12 1980 Scattering theory and polynomials orthogonal on the unit circle. Zbl 0439.33014 Geronimo, J. S.; Case, K. M. 47 1979 Szegö’s theorem for Hankel determinants. Zbl 0432.33008 Geronimo, J. S. 3 1979 all cited Publications top 5 cited Publications all top 5 Cited by 1,172 Authors 42 Geronimo, Jeffrey S. 36 Van Assche, Walter 28 Marcellán Español, Francisco 24 Kuijlaars, Arno B. J. 19 Iliev, Plamen 18 Peherstorfer, Franz 17 Geng, Xianguo 16 Simon, Barry 15 Barnsley, Michael Fielding 15 Vinet, Luc 12 Aptekarev, Alexander Ivanovich 12 Mañas, Manuel 12 Woerdeman, Hugo Jan 10 Harrington, Andrew N. 10 Mantica, Giorgio 9 Damanik, David 9 Durán, Antonio José 9 Totik, Vilmos 9 Yang, Shouzhi 9 Yuditskii, Peter Meerovich 8 Alhaidari, Abdulaziz D. 8 Knese, Greg 8 Nevai, Paul G. 8 Osilenker, Boris P. 8 Zeng, Xin 7 Alpan, Gökalp 7 Area, Iván 7 Branquinho, Amílcar José Pinto Lopes 7 Delvaux, Steven 7 García-Ardila, Juan Carlos 7 Hardin, Douglas P. 7 Martínez-Finkelshtein, Andrei 7 Moreno-Balcázar, Juan José 7 Petronilho, José C. 7 Wang, Hongyong 7 Zhang, Lun 7 Zhedanov, Alexei S. 6 Ariznabarreta, Gerardo 6 Bleher, Pavel M. 6 Choque Rivero, Abdon Eddy 6 Crampé, Nicolas 6 Cui, Lihong 6 Dalla, Leoni 6 Dette, Holger 6 Foulquié Moreno, Ana Pilar 6 Gesztesy, Fritz 6 Golinskii, Leonid Borisovich 6 Grünbaum, Francisco Alberto 6 Horbacz, Katarzyna 6 Jiang, Qingtang 6 Kapica, Rafał 6 Kozhan, Rostyslav V. 6 Román, Pablo Manuel 6 Shorten, Robert N. 6 Sri Ranga, Alagacone 6 Stevenson, Rob P. 6 Świderski, Grzegorz 6 Zinchenko, Maxim 5 Bachmayr, Markus 5 Bouboulis, Pantelis 5 Cheng, Zhengxing 5 Duits, Maurice 5 Fan, Engui 5 Godoy, Eduardo Paciência 5 Griffin, James C. 5 Han, Bin 5 Ismail, Mourad El-Houssieny 5 Morawiec, Janusz 5 Moussa, Pierre 5 Oliveira, Elismar R. 5 Schwab, Christoph 5 Szarek, Tomasz Jakub 5 Teplyaev, Alexander 5 Veronese, Daniel O. 5 Viswanathan, Puthan Veedu 5 Xu, Yuan 5 Yafaev, Dimitri R. 4 Basor, Estelle L. 4 Bessis, Daniel 4 Breuer, Jonathan 4 Carlen, Eric Anders 4 Castillo, Kenier 4 Chand, Arya Kumar Bedabrata 4 Chen, Yang 4 Chihara, Theodore Seio 4 Christiansen, Jacob Stordal 4 Cruz-Barroso, Ruymán 4 De Bie, Hendrik 4 de Jesus, M. N. 4 Deift, Percy A. 4 Derevyagin, Maxim S. 4 Egorova, Iryna 4 Gaboriaud, Julien 4 Garoufalidis, Stavros 4 Goncharov, Alexander P. 4 He, Guoliang 4 Johansson, Kurt 4 Karlsson, Johan 4 Koelink, Erik 4 Lambert, Gaultier ...and 1,072 more Authors all top 5 Cited in 253 Serials 107 Journal of Approximation Theory 51 Journal of Computational and Applied Mathematics 36 Journal of Mathematical Analysis and Applications 32 Transactions of the American Mathematical Society 32 Constructive Approximation 28 Communications in Mathematical Physics 25 Journal of Mathematical Physics 23 Linear Algebra and its Applications 21 Applied and Computational Harmonic Analysis 20 Journal of Statistical Physics 19 Chaos, Solitons and Fractals 18 Applied Mathematics and Computation 17 Journal of Functional Analysis 17 Proceedings of the American Mathematical Society 16 Advances in Mathematics 13 Physica D 13 Fractals 11 Computers & Mathematics with Applications 11 Journal of Difference Equations and Applications 11 International Journal of Wavelets, Multiresolution and Information Processing 10 Integral Equations and Operator Theory 10 The Journal of Fourier Analysis and Applications 10 The Ramanujan Journal 10 Complex Analysis and Operator Theory 9 Automatica 9 Indagationes Mathematicae. 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Second Series 3 Ergodic Theory and Dynamical Systems 3 Circuits, Systems, and Signal Processing 3 Acta Mathematica Hungarica 3 Applied Numerical Mathematics 3 The Annals of Applied Probability 3 International Journal of Computer Mathematics 3 Annales de l’Institut Henri Poincaré. Physique Théorique 3 Journal of Mathematical Sciences (New York) 3 Computational and Applied Mathematics 3 Discrete and Continuous Dynamical Systems 3 Annals of Mathematics. Second Series 3 Acta Mathematica Sinica. English Series 3 Analysis in Theory and Applications 3 Analysis and Applications (Singapore) 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Science China. Mathematics 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Bulletin of the Australian Mathematical Society 2 Computers and Fluids 2 Journal of Computational Physics 2 Mathematical Methods in the Applied Sciences 2 Reports on Mathematical Physics 2 Reviews in Mathematical Physics 2 Acta Mathematica 2 Annales de l’Institut Fourier ...and 153 more Serials all top 5 Cited in 55 Fields 404 Harmonic analysis on Euclidean spaces (42-XX) 257 Special functions (33-XX) 171 Operator theory (47-XX) 162 Dynamical systems and ergodic theory (37-XX) 146 Numerical analysis (65-XX) 135 Approximations and expansions (41-XX) 130 Probability theory and stochastic processes (60-XX) 117 Measure and integration (28-XX) 111 Linear and multilinear algebra; matrix theory (15-XX) 107 Functions of a complex variable (30-XX) 88 Difference and functional equations (39-XX) 71 Quantum theory (81-XX) 58 Statistical mechanics, structure of matter (82-XX) 53 Ordinary differential equations (34-XX) 44 Partial differential equations (35-XX) 42 Information and communication theory, circuits (94-XX) 36 Functional analysis (46-XX) 26 Statistics (62-XX) 26 Systems theory; control (93-XX) 24 Real functions (26-XX) 21 Potential theory (31-XX) 19 Algebraic geometry (14-XX) 19 Computer science (68-XX) 17 Number theory (11-XX) 16 Nonassociative rings and algebras (17-XX) 15 Combinatorics (05-XX) 12 Group theory and generalizations (20-XX) 12 Several complex variables and analytic spaces (32-XX) 10 Integral transforms, operational calculus (44-XX) 8 Fluid mechanics (76-XX) 7 Integral equations (45-XX) 7 Manifolds and cell complexes (57-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Operations research, mathematical programming (90-XX) 7 Biology and other natural sciences (92-XX) 6 General topology (54-XX) 5 Topological groups, Lie groups (22-XX) 5 Abstract harmonic analysis (43-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 4 Sequences, series, summability (40-XX) 4 Convex and discrete geometry (52-XX) 4 Mechanics of deformable solids (74-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year