×

Geronimo, Jeffrey S.

Author ID: geronimo.jeffrey-s Recent zbMATH articles by "Geronimo, Jeffrey S."
Published as: Geronimo, Jeffrey S.; Geronimo, J. S.; Geronimo, Jeffery S.; Geronimo, J.
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

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 1,534 times in 1,116 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.
70
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.
55
1980
Scattering theory and polynomials orthogonal on the unit circle. Zbl 0439.33014
Geronimo, J. S.; Case, K. M.
49
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.
40
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.
28
1999
Matrix orthogonal polynomials on the unit circle. Zbl 0505.42019
Geronimo, Jeffrey S.
23
1981
Mellin transforms associated with Julia sets and physical applications. Zbl 0602.58028
Bessis, D.; Geronimo, J. S.; Moussa, P.
22
1984
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
Infinite-dimensional Jacobi matrices associated with Julia sets. Zbl 0535.30025
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
21
1983
On the invariant sets of a family of quadratic maps. Zbl 0535.30024
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
18
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
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
Asymptotics for orthogonal polynomials on and off the essential spectrum. Zbl 0663.41029
Van Assche, Walter; Geronimo, Jeffrey S.
15
1988
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
Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials. Zbl 0566.41033
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
14
1983
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
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
Dimensions associated with recurrent self-similar sets. Zbl 0742.28002
Deliu, Anca; Geronimo, J. S.; Shonkwiler, R.; Hardin, D.
13
1991
A relation between the coefficients in the recurrence formula and the spectral function for orthogonal polynomials. Zbl 0445.42002
Geronimo, Jeffrey S.
13
1980
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
Scattering theory, orthogonal polynomials, and \(q\)-series. Zbl 0802.42019
Geronimo, Jeffrey S.
12
1994
On the asymptotic distribution of eigenvalues of banded matrices. Zbl 0646.15004
Geronimo, Jeffrey S.; Harrell, Evans M. II; Van Assche, Walter
12
1988
Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients. Zbl 0705.42018
Geronimo, Jeffrey S.; Van Assche, Walter
11
1990
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.
11
1989
Function weighted measures and orthogonal polynomials on Julia sets. Zbl 0635.42021
Bessis, D.; Geronimo, J. S.; Moussa, P.
11
1988
Measures for orthogonal polynomials with unbounded recurrence coefficients. Zbl 1343.42037
Aptekarev, A. I.; Geronimo, J. S.
11
2016
An upper bound on the number of eigenvalues of an infinite dimensional Jacobi matrix. Zbl 0492.42016
Geronimo, Jeffrey S.
11
1982
Multivariable Askey-Wilson function and bispectrality. Zbl 1221.33031
Geronimo, Jeffrey S.; Iliev, Plamen
10
2011
Singularity spectrum for recurrent IFS attractors. Zbl 0791.28004
King, J. F.; Geronimo, J. S.
10
1993
Two variable orthogonal polynomials on the bicircle and structured matrices. Zbl 1149.42015
Geronimo, Jeffrey S.; Woerdeman, Hugo
9
2007
An inverse problem associated with polynomials orthogonal on the unit circle. Zbl 0943.42017
Geronimo, J. S.; Johnson, R.
9
1998
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
WKB and turning point theory for second-order difference equations. Zbl 1064.39018
Geronimo, Jeffrey S.; Bruno, Oscar; van Assche, Walter
8
2004
High-order recurrence relations, Hermite-Padé approximation and Nikishin systems. Zbl 1401.30037
Barrios Rolanía, D.; Geronimo, J. S.; López Lagomasino, G.
8
2018
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
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
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
Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients. Zbl 1143.42027
Aptekarev, A. I.; Geronimo, J. S.; Van Assche, W.
5
2008
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
Geometrical and electrical properties of some Julia sets. Zbl 0548.30021
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
5
1984
Some tree-like Julia sets and Padé approximants. Zbl 0532.41023
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
5
1983
Bernstein-Szegő measures, Banach algebras, and scattering theory. Zbl 1367.47037
Geronimo, Jeffrey S.; Iliev, Plamen
5
2017
On the inverse fractal problem for two-dimensional attractors. Zbl 0886.58068
Deliu, A.; Geronimo, J.; Shonkwiler, R.
5
1997
Compactly supported, piecewise affine scaling functions on triangulations. Zbl 0962.42025
Donovan, G. C.; Geronimo, J. S.; Hardin, D. P.
4
2000
Polynomials orthogonal on the unit circle with random recurrence coefficients. Zbl 0786.42013
Geronimo, J. S.
4
1993
Fejér-Riesz factorizations and the structure of bivariate polynomials orthogonal on the bi-circle. Zbl 1303.42010
Geronimo, Jeffrey S.; Iliev, Plamen
4
2014
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
Szegö’s theorem for Hankel determinants. Zbl 0432.33008
Geronimo, J. S.
4
1979
Geometry and combinatorics of Julia sets of real quadratic maps. Zbl 0588.58054
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
3
1984
A class of orthogonal multiresolution analyses in 2D. Zbl 0835.65159
Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P.
3
1995
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
On a two-variable class of Bernstein-Szegő measures. Zbl 1171.42306
Delgado, Antonia M.; Geronimo, Jeffrey S.; Iliev, Plamen; Xu, Yuan
2
2009
Two variable deformations of the Chebyshev measure. Zbl 1268.42043
Geronimo, Jeffrey S.; Iliev, Plamen
2
2008
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
On certain integrals that appear in conformal field theory. Zbl 1062.81127
Geronimo, Jeffrey S.; Navelet, Henri
2
2003
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
A hypergeometric basis for the Alpert multiresolution analysis. Zbl 1317.42031
Geronimo, Jeffrey S.; Iliev, Plamen
2
2015
On Baxter’s difference systems. Zbl 1260.39004
Geronimo, J. S.; Golinskii, L.
1
2011
On extensions of a theorem of Baxter. Zbl 1100.42019
Geronimo, J. S.; Martínez-Finkelshtein, A.
1
2006
A numerical algorithm for stable 2D autoregressive filter design. Zbl 1144.94316
Woerdeman, Hugo J.; Geronimo, Jeffrey S.; Castro, Glaysar
1
2003
Polynomials orthogonal with respect to singular continuous measures. Zbl 0643.42015
Geronimo, J. S.
1
1988
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
Squeezable orthogonal bases: Accuracy and smoothness. Zbl 1026.42034
Donovan, George C.; Geronimo, Jeffrey S.; Hardin, Douglas P.
1
2002
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 topological separation condition for fractal attractors. Zbl 1336.28007
Bedford, Tim; Borodachov, Sergiy V.; Geronimo, Jeffrey S.
1
2014
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
Construction of orthogonal multiwavelets using fractal interpolation functions. Zbl 0989.42024
Donovan, George; Geronimo, Jeffrey S.; Hardin, Douglas P.
1
1999
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.
8
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.
11
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
8
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
2
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.
70
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.
28
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.
40
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.
12
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.
4
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.
13
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.
11
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.
15
1988
On the spectra of infinite-dimensional Jacobi matrices. Zbl 0671.47021
Geronimo, J. S.
12
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
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.
22
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.
21
1983
On the invariant sets of a family of quadratic maps. Zbl 0535.30024
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
18
1983
Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials. Zbl 0566.41033
Barnsley, M. F.; Geronimo, J. S.; Harrington, A. N.
14
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.
55
1980
A relation between the coefficients in the recurrence formula and the spectral function for orthogonal polynomials. Zbl 0445.42002
Geronimo, Jeffrey S.
13
1980
Scattering theory and polynomials orthogonal on the unit circle. Zbl 0439.33014
Geronimo, J. S.; Case, K. M.
49
1979
Szegö’s theorem for Hankel determinants. Zbl 0432.33008
Geronimo, J. S.
4
1979
all top 5

Cited by 1,192 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
17 Simon, Barry
15 Barnsley, Michael Fielding
15 Vinet, Luc
12 Aptekarev, Alexander Ivanovich
12 Mañas, Manuel
12 Woerdeman, Hugo Jan
11 Mantica, Giorgio
10 Harrington, Andrew N.
9 Alhaidari, Abdulaziz D.
9 Damanik, David
9 Durán, Antonio José
9 Totik, Vilmos
9 Yang, Shouzhi
9 Yuditskii, Peter Meerovich
8 Knese, Greg
8 Nevai, Paul G.
8 Osilenker, Boris P.
8 Zeng, Xin
8 Zhang, Lun
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 Zhedanov, Alexei S.
7 Zinchenko, Maxim
6 Ariznabarreta, Gerardo
6 Bachmayr, Markus
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 Ismail, Mourad El-Houssieny
6 Jiang, Qingtang
6 Kapica, Rafał
6 Kozhan, Rostyslav V.
6 Moussa, Pierre
6 Román, Pablo Manuel
6 Shorten, Robert N.
6 Sri Ranga, Alagacone
6 Stevenson, Rob P.
6 Świderski, Grzegorz
6 Yafaev, Dimitri R.
5 Basor, Estelle L.
5 Bessis, Daniel
5 Bouboulis, Pantelis
5 Cheng, Zhengxing
5 Christiansen, Jacob Stordal
5 Duits, Maurice
5 Fan, Engui
5 Godoy, Eduardo Paciência
5 Griffin, James C.
5 Han, Bin
5 Johansson, Kurt
5 Morawiec, Janusz
5 Oliveira, Elismar R.
5 Schwab, Christoph
5 Suetin, Sergeĭ Pavlovich
5 Szarek, Tomasz Jakub
5 Teplyaev, Alexander
5 Veronese, Daniel O.
5 Viswanathan, Puthan Veedu
5 Xu, Yuan
4 Böttcher, Albrecht
4 Breuer, Jonathan
4 Carlen, Eric Anders
4 Castillo, Kenier
4 Chand, Arya Kumar Bedabrata
4 Chen, Yang
4 Chihara, Theodore Seio
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 Karlsson, Johan
...and 1,092 more Authors
all top 5

Cited in 255 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
29 Communications in Mathematical Physics
27 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
16 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. New Series
8 Journal d’Analyse Mathématique
8 Theoretical and Mathematical Physics
8 Mathematics of Computation
8 Statistics & Probability Letters
8 Acta Applicandae Mathematicae
7 Nonlinearity
7 Nuclear Physics. B
7 Rocky Mountain Journal of Mathematics
7 Mediterranean Journal of Mathematics
7 Random Matrices: Theory and Applications
6 Letters in Mathematical Physics
6 Numerische Mathematik
6 The Journal of Geometric Analysis
6 Numerical Algorithms
6 Bulletin of the American Mathematical Society. New Series
6 Advances in Computational Mathematics
6 Integral Transforms and Special Functions
5 Mathematical Notes
5 Studies in Applied Mathematics
5 Advances in Applied Mathematics
5 Journal of Theoretical Probability
5 Journal of High Energy Physics
5 Annales Henri Poincaré
5 Journal of Spectral Theory
4 Applicable Analysis
4 Communications on Pure and Applied Mathematics
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 The Annals of Probability
4 The Annals of Statistics
4 Numerical Functional Analysis and Optimization
4 SIAM Journal on Control and Optimization
4 Probability Theory and Related Fields
4 Multidimensional Systems and Signal Processing
4 Stochastic Processes and their Applications
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Bulletin des Sciences Mathématiques
4 Mathematical Problems in Engineering
4 Computational Methods and Function Theory
4 Proceedings of the Steklov Institute of Mathematics
4 Journal of Physics A: Mathematical and Theoretical
4 Bulletin of Mathematical Sciences
3 Analysis Mathematica
3 Israel Journal of Mathematics
3 Linear and Multilinear Algebra
3 Functional Analysis and its Applications
3 Inventiones Mathematicae
3 Journal of Applied Probability
3 Journal of Differential Equations
3 Journal of the London Mathematical Society. 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 155 more Serials
all top 5

Cited in 55 Fields

404 Harmonic analysis on Euclidean spaces (42-XX)
260 Special functions (33-XX)
176 Operator theory (47-XX)
165 Dynamical systems and ergodic theory (37-XX)
148 Numerical analysis (65-XX)
136 Approximations and expansions (41-XX)
134 Probability theory and stochastic processes (60-XX)
120 Measure and integration (28-XX)
116 Linear and multilinear algebra; matrix theory (15-XX)
108 Functions of a complex variable (30-XX)
91 Difference and functional equations (39-XX)
77 Quantum theory (81-XX)
59 Statistical mechanics, structure of matter (82-XX)
55 Ordinary differential equations (34-XX)
47 Partial differential equations (35-XX)
42 Information and communication theory, circuits (94-XX)
37 Functional analysis (46-XX)
27 Systems theory; control (93-XX)
26 Statistics (62-XX)
24 Real functions (26-XX)
22 Potential theory (31-XX)
19 Algebraic geometry (14-XX)
19 Computer science (68-XX)
18 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)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Topological groups, Lie groups (22-XX)
5 Abstract harmonic analysis (43-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 Optics, electromagnetic theory (78-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 Astronomy and astrophysics (85-XX)

Citations by Year