×
Author ID: olafsson.gestur Recent zbMATH articles by "Ólafsson, Gestur"
Published as: Ólafsson, Gestur; Ólafsson, G.; Olafsson, Gestur
Homepage: https://www.math.lsu.edu/~olafsson/
External Links: MGP · ResearchGate · dblp · GND
Videos: carmin.tv
Documents Indexed: 142 Publications since 1982, including 5 Books and 17 Additional arXiv Preprints
11 Contributions as Editor
Reviewing Activity: 11 Reviews
Biographic References: 2 Publications
Co-Authors: 73 Co-Authors with 144 Joint Publications
1,932 Co-Co-Authors
all top 5

Co-Authors

9 single-authored
27 Neeb, Karl-Hermann
15 Ørsted, Bent
14 Jørgensen, Palle E. T.
11 Pasquale, Angela
10 Schlichtkrull, Henrik
9 Krötz, Bernhard J.
8 Branson, Thomas Patrick
8 Christensen, Jens Gerlach
6 Davidson, Mark Gregory
6 Dawson, Matthew
6 Frahm, Jan
6 Hilgert, Joachim
5 Quiroga-Barranco, Raul
5 Rubin, Boris
5 Wolf, Joseph Albert
4 Gindikin, Simon Grigorevich
3 Ho, Vivian M.
3 Larson, David Royal
3 Massopust, Peter R.
3 Mayeli, Azita
3 Stanton, Robert J.
2 Andersen, Nils Byrial
2 Aristidou, Michael
2 Dann, Susanna
2 Dobrescu, Mihaela
2 Fabec, Raymond C.
2 Faraut, Jacques
2 Harris, Benjamin
2 He, Hongyu
2 Kutyniok, Gitta
2 Morinelli, Vincenzo
2 Neumann, Andreas W.
2 Ournycheva, Elena
2 Quinto, Eric Todd
2 Roblero-Méndez, Eli
2 Silvestrov, Sergei D.
2 Zhang, Genkai
2 Zheng, Shijun
1 Bdarneh, Khalid
1 Betten, Frank
1 Casazza, Peter George
1 Chang, Sun-Yung Alice
1 Cohl, Howard Saul
1 Costas-Santos, Roberto S.
1 Cross, Adam
1 Darweesh, Amer H.
1 Dewage, Vishwa
1 Durand, Loyal III
1 Eastwood, Mike
1 Feichtlinger, Hans Georg
1 Gover, Ashwin Rod
1 Grinberg, Eric Liviu
1 Gröchenig, Karlheinz
1 Helgason, Sigurdur
1 Helminck, Aloysius G.
1 Hong, Doojin
1 Iosevich, Alex
1 Jaffe, Arthur Michael
1 Kornelson, Keri A.
1 Larson, Dave
1 Merigon, Stephane
1 Montoya, Camilo
1 Packer, Judith A.
1 Peterson, Lawrence J.
1 Schlein, Benjamin
1 Sengupta, Ambar N.
1 Sitiraju, Iswarya
1 Speegle, Darrin M.
1 Sun, Qiyu
1 Svidersky, Oleg S.
1 Trinhammer, O. L.
1 Ugalde, William J.
1 Wiboonton, Keng
1 Yang, Paul C. P.
all top 5

Serials

13 Journal of Functional Analysis
7 Acta Applicandae Mathematicae
4 Advances in Mathematics
4 Inventiones Mathematicae
4 Journal of Lie Theory
4 Oberwolfach Reports
3 Mathematische Annalen
3 Mathematica Scandinavica
3 IMRN. International Mathematics Research Notices
3 The Journal of Fourier Analysis and Applications
3 Representation Theory
3 Contemporary Mathematics
2 Numerical Functional Analysis and Optimization
2 Pacific Journal of Mathematics
2 Proceedings of the American Mathematical Society
2 Semigroup Forum
2 Transactions of the American Mathematical Society
2 The Journal of Geometric Analysis
2 Indagationes Mathematicae. New Series
2 Applied and Computational Harmonic Analysis
2 Transformation Groups
2 Complex Analysis and Operator Theory
1 Communications in Mathematical Physics
1 Annales de l’Institut Fourier
1 Compositio Mathematica
1 Duke Mathematical Journal
1 Geometriae Dedicata
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Japanese Journal of Mathematics. New Series
1 Manuscripta Mathematica
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 Annals of Global Analysis and Geometry
1 Forum Mathematicum
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Bulletin des Sciences Mathématiques
1 Integral Transforms and Special Functions
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 The Asian Journal of Mathematics
1 International Journal of Wavelets, Multiresolution and Information Processing
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Perspectives in Mathematics
1 Proceedings of Symposia in Applied Mathematics
1 São Paulo Journal of Mathematical Sciences
1 Symmetry
1 Analysis and Mathematical Physics
1 SpringerBriefs in Mathematical Physics

Publications by Year

Citations contained in zbMATH Open

116 Publications have been cited 905 times in 445 Documents Cited by Year
Causal symmetric spaces. Geometry and harmonic analysis. Zbl 0931.53004
Hilgert, Joachim; Ólafsson, Gestur
62
1997
The holomorphic discrete series for affine symmetric spaces. I. Zbl 0678.22008
Ólafsson, G.; Ørsted, B.
29
1988
Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup. Zbl 0841.22011
Branson, Thomas; Ólafsson, Gestur; Ørsted, Bent
29
1996
Generalizations of the Bargmann transform. Zbl 0916.22006
Ólafsson, Gestur; Ørsted, Bent
27
1996
Fourier and Poisson transformation associated to a semisimple symmetric space. Zbl 0665.43004
Olafsson, Gestur
25
1987
Unitary representations and Osterwalder-Schrader duality. Zbl 0959.22008
Jørgensen, Palle E. T.; Ólafsson, Gestur
24
2000
Hardy spaces on affine symmetric spaces. Zbl 0716.43006
Hilgert, J.; Ólafsson, G.; Ørsted, B.
24
1991
Antiunitary representations and modular theory. Zbl 1401.22011
Neeb, Karl-Hermann; Ólafsson, Gestur
24
2017
Coorbit spaces for dual pairs. Zbl 1221.43003
Christensen, Jens Gerlach; Ólafsson, Gestur
21
2011
Spherical functions on ordered symmetric spaces. Zbl 0810.43003
Faraut, Jacques; Hilgert, Joachim; Ólafsson, Gestur
21
1994
Unitary representations of Lie groups with reflection symmetry. Zbl 0911.22012
Jørgensen, Palle E. T.; Ólafsson, Gestur
20
1998
Laplace and Segal–Bargmann transforms on Hermitian symmetric spaces and orthogonal polynomials. Zbl 1035.32014
Davidson, Mark; Ólafsson, Gestur; Zhang, Genkai
20
2003
The image of the heat kernel transform on Riemannian symmetric spaces of the noncompact type. Zbl 1079.22007
Krötz, Bernhard; Ólafsson, Gestur; Stanton, Robert J.
18
2005
Examples of coorbit spaces for dual pairs. Zbl 1190.43004
Christensen, Jens Gerlach; Ólafsson, Gestur
18
2009
The Cos\(^\lambda\) and Sin\(^\lambda\) transforms as intertwining operators between generalized principal series representations of SL\((n+1,\mathbb K)\). Zbl 1244.22007
Ólafsson, Gestur; Pasquale, Angela
18
2012
Symmetric spaces of Hermitian type. Zbl 0785.22021
Ólafsson, G.
17
1991
Analytic continuation in representation theory and harmonic analysis. Zbl 0999.22017
Ólafsson, Gestur
15
2000
Commuting Toeplitz operators on bounded symmetric domains and multiplicity-free restrictions of holomorphic discrete series. Zbl 1320.47029
Dawson, Matthew; Ólafsson, Gestur; Quiroga-Barranco, Raúl
15
2015
Wave propagation on Riemannian symmetric spaces. Zbl 0757.58037
Ólafsson, G.; Schlichtkrull, H.
14
1992
Reflection positivity and conformal symmetry. Zbl 1290.22006
Neeb, Karl-Hermann; Ólafsson, Gestur
14
2014
Ramanujan’s master theorem for the hypergeometric Fourier transform associated with root systems. Zbl 1314.43002
Ólafsson, G.; Pasquale, A.
14
2013
Laguerre polynomials, restriction principle, and holomorphic representations of SL\((2\mathbb R)\). Zbl 0993.22012
Davidson, Mark; Ólafsson, Gestur; Zhang, Genkai
13
2002
Reflection positivity. A representation theoretic perspective. Zbl 1403.22001
Neeb, Karl-Hermann; Ólafsson, Gestur
13
2018
The Paley-Wiener theorem and the local Huygens’ principle for compact symmetric spaces: the even multiplicity case. Zbl 1113.53034
Branson, Thomas; Ólafsson, Gestur; Pasquale, Angela
12
2005
Huygens’ principle in Riemannian symmetric spaces. Zbl 0822.43002
Branson, T.; Ólafsson, G.; Schlichtkrull, H.
12
1995
Causal semisimple symmetric spaces, the geometry and harmonic analysis. Zbl 0854.43015
Faraut, Jacques; Ólafsson, Gestur
12
1995
Spherical representations and mixed symmetric spaces. Zbl 0887.22022
Krötz, Bernhard; Neeb, Karl-Hermann; Ólafsson, Gestur
11
1997
A Paley-Wiener theorem for the \(\Theta\)-hypergeometric transform: the even multiplicity case. Zbl 1058.33015
Ólafsson, Gestur; Pasquale, Angela
11
2004
A local Paley-Wiener theorem for compact symmetric spaces. Zbl 1151.43006
Ólafsson, Gestur; Schlichtkrull, Henrik
11
2008
Function spaces associated with Schrödinger operators: the Pöschl-Teller potential. Zbl 1119.42008
Ólafsson, Gestur; Zheng, Shijun
10
2006
The holomorphic discrete series of an affine symmetric space and representations with reproducing kernels. Zbl 0760.22020
Ólafsson, G.; Ørsted, B.
10
1991
On the inversion of the Laplace and Abel transforms for causal symmetric spaces. Zbl 1037.43010
Andersen, N. B.; Ólafsson, G.; Schlichtkrull, H.
9
2003
Analytic and group-theoretic aspects of the cosine transform. Zbl 1292.43011
Ólafsson, G.; Pasquale, A.; Rubin, B.
9
2013
Equipartition of energy for waves in symmetric space. Zbl 0796.43006
Branson, Thomas P.; Ólafsson, Gestur
9
1991
Reflection positive one-parameter groups and dilations. Zbl 1322.43002
Neeb, Karl-Hermann; Ólafsson, Gestur
9
2015
New atomic decompositions for Bergman spaces on the unit ball. Zbl 1372.32012
Christensen, Jens Gerlach; Gröchenig, Karlheinz; Ólafsson, Gestur
9
2017
The Paley-Wiener theorem for the Jacobi transform and the local Huygens’ principle for root systems with even multiplicities. Zbl 1168.43302
Branson, Thomas; Ólafsson, Gestur; Pasquale, Angela
8
2005
Nets of standard subspaces on Lie groups. Zbl 1487.22015
Neeb, Karl-Hermann; Ólafsson, Gestur
8
2021
Coorbit description and atomic decomposition of Besov spaces. Zbl 1251.30062
Christensen, Jens G.; Mayeli, Azita; Ólafsson, Gestur
8
2012
Causal compactification and Hardy spaces. Zbl 0928.43007
Ólafsson, G.; Ørsted, B.
7
1999
A bundle valued Radon transform, with applications to invariant wave equations. Zbl 0924.43010
Branson, Thomas P.; Ólafsson, Gestur; Schlichtkrull, Henrik
7
1994
Wavelets, wavelet sets, and linear actions on \(\mathbb{R}^n\). Zbl 1085.42019
Ólafsson, Gestur; Speegle, Darrin
6
2004
The continuous wavelet transform and symmetric spaces. Zbl 1033.42032
Fabec, R.; Ólafsson, G.
6
2003
The \(c\)-function for non-compactly causal symmetric spaces. Zbl 1029.43008
Krötz, Bernhard; Ólafsson, Gestur
6
2002
Differential recursion relations for Laguerre functions on Hermitian matrices. Zbl 1044.43003
Davidson, Mark; Ólafsson, Gestur
6
2003
Wedge domains in compactly causal symmetric spaces. Zbl 1530.22011
Neeb, Karl-Hermann; Ólafsson, Gestur
6
2023
Coorbits for projective representations with an application to Bergman spaces. Zbl 1422.32009
Christensen, Jens Gerlach; Darweesh, Amer H.; Ólafsson, Gestur
6
2019
The Radon transform, inverse problems, and tomography. American Mathematical Society short course, Atlanta, GA, USA, January 3–4, 2005. Zbl 1085.44001
6
2006
Wave front sets of reductive Lie group representations. Zbl 1341.22008
Harris, Benjamin; He, Hongyu; Ólafsson, Gestur
6
2016
Wedge domains in non-compactly causal symmetric spaces. Zbl 1527.22022
Neeb, Karl-Hermann; Ólafsson, Gestur
6
2023
Holomorphic \(H\)-spherical distribution vectors in principal series representations. Zbl 1062.22031
Gindikin, Simon; Krötz, Bernhard; Ólafsson, Gestur
5
2004
On the meromorphic extension of the spherical functions on noncompactly causal symmetric spaces. Zbl 0985.43008
Ólafsson, G.; Pasquale, A.
5
2001
Ramanujan’s master theorem for Riemannian symmetric spaces. Zbl 1246.43005
Ólafsson, Gestur; Pasquale, Angela
5
2012
Is there an orbit method for affine symmetric spaces? Zbl 0746.22007
Olafsson, Gestur; Ørsted, Bent
5
1990
Paley-Wiener theorems for the \({\Theta}\)-spherical transform: an overview. Zbl 1064.43011
Ólafsson, Gestur; Pasquale, Angela
5
2004
Representation theory, Radon transform and the heat equation on a Riemannian symmetric space. Zbl 1167.33309
Ólafsson, Gestur; Schlichtkrull, Henrik
5
2008
Laguerre functions on symmetric cones and recursion relations in the real case. Zbl 1104.43007
Aristidou, Michael; Davidson, Mark; Ólafsson, Gestur
5
2007
Sampling in spaces of bandlimited functions on commutative spaces. Zbl 1331.43006
Christensen, Jens Gerlach; Ólafsson, Gestur
5
2013
Reflection positive stochastic processes indexed by Lie groups. Zbl 1343.22008
Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur
5
2016
Symmetric spaces with dissecting involutions. Zbl 1508.53062
Neeb, K.-H.; Ólafsson, G.
5
2022
Standard subspaces of Hilbert spaces of holomorphic functions on tube domains. Zbl 1495.32096
Neeb, Karl-Hermann; Ørsted, Bent; Ólafsson, Gestur
5
2021
Harmonic analysis related to Schrödinger operators. Zbl 1256.42031
Ólafsson, Gestur; Zheng, Shijun
5
2008
Minimal and maximal semigroups related to causal symmetric spaces. Zbl 0957.22015
Neumann, Andreas; Ólafsson, Gestur
4
2000
The Paley-Wiener theorem and limits of symmetric spaces. Zbl 1305.43012
Ólafsson, Gestur; Wolf, Joseph A.
4
2014
The generalized Segal–Bargmann transform and special functions. Zbl 1082.22010
Davidson, Mark; Ólafsson, Gestur
4
2004
The Segal-Bargmann transform on compact symmetric spaces and their direct limits. Zbl 1283.22008
Ólafsson, Gestur; Wiboonton, Keng
4
2013
On low-dimensional manifolds with isometric \(\mathrm {SO}_{0}(p, q)\)-actions. Zbl 1277.53046
Ólafsson, Gestur; Quiroga-Barranco, Raul
4
2012
Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices. Zbl 1101.42019
Ólafsson, Gestur; Ournycheva, Elena; Rubin, Boris
4
2006
Extension of symmetric spaces and restriction of Weyl groups and invariant polynomials. Zbl 1234.43004
Ólafsson, Gestur; Wolf, Joseph A.
4
2011
Differential recursion relations for Laguerre functions on symmetric cones. Zbl 1091.33005
Aristidou, Michael; Davidson, Mark; Ólafsson, Gestur
4
2006
Analytic extensions of representations, the solvable case. Zbl 0788.22014
Hilgert, J.; Ólafsson, G.
4
1992
Integrability of unitary representations on reproducing kernel spaces. Zbl 1355.17005
Merigon, Stéphane; Neeb, Karl-Hermann; Ólafsson, Gestur
4
2015
Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum. Zbl 1037.43014
Gindikin, Simon; Krötz, Bernhard; Ólafsson, Gestur
3
2003
Continuous action of Lie groups on \(\mathbb R^n\) and frames. Zbl 1089.42023
Ólafsson, G.
3
2005
A Paley-Wiener theorem for the spherical Laplace transform on causal symmetric spaces of rank 1. Zbl 0958.43004
Andersen, Nils Byrial; Ólafsson, Gestur
3
2001
Causal compactification and Hardy spaces for spaces of Hermitian type. Zbl 1062.43017
Betten, Frank; Ólafsson, Gestur
3
2001
Die Langlands-Parameter für die Flensted-Jensensche fundamentale Reihe. Zbl 0561.22008
Olafsson, Gestur
3
1984
A conjugacy theorem for symmetric spaces. Zbl 0926.22005
Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G.
3
1999
Horospherical model for holomorphic discrete series and horospherical Cauchy transform. Zbl 1108.22009
Gindikin, Simon; Krötz, Bernhard; Ólafsson, Gestur
3
2006
Wavelet sets without groups. Zbl 1129.42432
Dobrescu, Mihaela; Ólafsson, Gestur
3
2006
Holomorphic Fock spaces for positive linear transformations. Zbl 1136.46021
Fabec, R.; Ólafsson, G.; Sengupta, A. N.
3
2006
The Segal-Bargmann transform for the heat equation associated with root systems. Zbl 1141.43009
Ólafsson, Gestur; Schlichtkrull, Henrik
3
2007
From Euler elements and 3-gradings to non-compactly causal symmetric spaces. Zbl 1528.22009
Morinelli, Vincenzo; Neeb, Karl-Hermann; Olafsson, Gestur
3
2023
Fourier transforms of spherical distributions on compact symmetric spaces. Zbl 1226.43005
Ólafsson, Gestur; Schlichtkrull, Henrik
3
2011
Paley-Wiener theorem for line bundles over compact symmetric spaces and new estimates for the Heckman-Opdam hypergeometric functions. Zbl 1404.43015
Ho, Vivian M.; Ólafsson, Gestur
3
2018
The restriction principle and commuting families of Toeplitz operators on the unit ball. Zbl 06992461
Dawson, Matthew; Ólafsson, Gestur; Quiroga-Barranco, Raúl
3
2018
Reflection positivity on real intervals. Zbl 1407.43003
Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur
3
2018
Direct systems of spherical functions and representations. Zbl 1280.43003
Dawson, Matthew; Ólafsson, Gestur; Wolf, Joseph A.
3
2013
Open problems in harmonic analysis on causal symmetric spaces. Zbl 0919.43006
Ólafsson, Gestur
2
1998
The continuous spectrum in discrete series branching laws. Zbl 1362.22016
Harris, Benjamin; He, Hongyu; Ólafsson, Gestur
2
2013
Fourier series on compact symmetric spaces: \(K\)-finite functions of small support. Zbl 1251.43003
Ólafsson, Gestur; Schlichtkrull, Henrik
2
2010
KMS conditions, standard real subspaces and reflection positivity on the circle group. Zbl 1422.43009
Neeb, Karl-Hermann; Ólafsson, Gestur
2
2019
Paley-Wiener theorems with respect to the spectral parameter. Zbl 1235.43009
Dann, Susanna; Ólafsson, Gestur
2
2011
On low-dimensional manifolds with isometric \(\widetilde{\mathrm{U}} (p, q)\)-actions. Zbl 1404.57054
Ólafsson, Gestur; Quiroga-Barranco, Raul
2
2017
An application of hypergeometric shift operators to the \(\chi\)-spherical Fourier transform. Zbl 1344.43005
Ho, Vivian M.; Ólafsson, Gestur
2
2015
Reflection positivity on spheres. Zbl 1441.22033
Neeb, Karl-Hermann; Ólafsson, Gestur
2
2020
Invariant functions on Grassmannians. Zbl 1256.43003
Ólafsson, Gestur; Rubin, Boris
2
2008
Wavelets and frames. Zbl 1077.42500
1
2004
Regularity properties of generalized Harish-Chandra expansions. Zbl 1015.43015
Ólafsson, Gestur; Pasquale, Angela
1
2002
Spherical functions on mixed symmetric spaces. Zbl 0989.22017
Krötz, Bernhard; Neeb, Karl-Hermann; Ólafsson, Gestur
1
2001
Wedge domains in compactly causal symmetric spaces. Zbl 1530.22011
Neeb, Karl-Hermann; Ólafsson, Gestur
6
2023
Wedge domains in non-compactly causal symmetric spaces. Zbl 1527.22022
Neeb, Karl-Hermann; Ólafsson, Gestur
6
2023
From Euler elements and 3-gradings to non-compactly causal symmetric spaces. Zbl 1528.22009
Morinelli, Vincenzo; Neeb, Karl-Hermann; Olafsson, Gestur
3
2023
Generalized Laguerre functions and Whittaker vectors for holomorphic discrete series. Zbl 07700648
Frahm, Jan; Oersted, Bent; Olafsson, Gestur
1
2023
Symmetric spaces with dissecting involutions. Zbl 1508.53062
Neeb, K.-H.; Ólafsson, G.
5
2022
Toeplitz operators on the Fock space with quasi-radial symbols. Zbl 07531849
Dewage, Vishwa; Ólafsson, Gestur
1
2022
Nets of standard subspaces on Lie groups. Zbl 1487.22015
Neeb, Karl-Hermann; Ólafsson, Gestur
8
2021
Standard subspaces of Hilbert spaces of holomorphic functions on tube domains. Zbl 1495.32096
Neeb, Karl-Hermann; Ørsted, Bent; Ólafsson, Gestur
5
2021
Reflection positivity on spheres. Zbl 1441.22033
Neeb, Karl-Hermann; Ólafsson, Gestur
2
2020
Toeplitz operators on the domain \(\{Z\in M_{2\times 2}(\mathbb{C})\mid ZZ^*<I\}\) with \(\mathrm{U}(2)\times\mathbb{T}^2\)-invariant symbols. Zbl 07244854
Dawson, Matthew; Ólafsson, Gestur; Quiroga-Barranco, Raul
1
2020
Coorbits for projective representations with an application to Bergman spaces. Zbl 1422.32009
Christensen, Jens Gerlach; Darweesh, Amer H.; Ólafsson, Gestur
6
2019
KMS conditions, standard real subspaces and reflection positivity on the circle group. Zbl 1422.43009
Neeb, Karl-Hermann; Ólafsson, Gestur
2
2019
Reflection positivity. A representation theoretic perspective. Zbl 1403.22001
Neeb, Karl-Hermann; Ólafsson, Gestur
13
2018
Paley-Wiener theorem for line bundles over compact symmetric spaces and new estimates for the Heckman-Opdam hypergeometric functions. Zbl 1404.43015
Ho, Vivian M.; Ólafsson, Gestur
3
2018
The restriction principle and commuting families of Toeplitz operators on the unit ball. Zbl 06992461
Dawson, Matthew; Ólafsson, Gestur; Quiroga-Barranco, Raúl
3
2018
Reflection positivity on real intervals. Zbl 1407.43003
Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur
3
2018
Antiunitary representations and modular theory. Zbl 1401.22011
Neeb, Karl-Hermann; Ólafsson, Gestur
24
2017
New atomic decompositions for Bergman spaces on the unit ball. Zbl 1372.32012
Christensen, Jens Gerlach; Gröchenig, Karlheinz; Ólafsson, Gestur
9
2017
On low-dimensional manifolds with isometric \(\widetilde{\mathrm{U}} (p, q)\)-actions. Zbl 1404.57054
Ólafsson, Gestur; Quiroga-Barranco, Raul
2
2017
Reflection positivity. Abstracts from the workshop held November 26 – December 2, 2017. Zbl 1409.00095
1
2017
The Berezin form on symmetric \(R\)-spaces and reflection positivity. Zbl 1395.22005
Frahm, Jan; Ólafsson, Gestur; Ørsted, Bent
1
2017
Wave front sets of reductive Lie group representations. Zbl 1341.22008
Harris, Benjamin; He, Hongyu; Ólafsson, Gestur
6
2016
Reflection positive stochastic processes indexed by Lie groups. Zbl 1343.22008
Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur
5
2016
Commuting Toeplitz operators on bounded symmetric domains and multiplicity-free restrictions of holomorphic discrete series. Zbl 1320.47029
Dawson, Matthew; Ólafsson, Gestur; Quiroga-Barranco, Raúl
15
2015
Reflection positive one-parameter groups and dilations. Zbl 1322.43002
Neeb, Karl-Hermann; Ólafsson, Gestur
9
2015
Integrability of unitary representations on reproducing kernel spaces. Zbl 1355.17005
Merigon, Stéphane; Neeb, Karl-Hermann; Ólafsson, Gestur
4
2015
An application of hypergeometric shift operators to the \(\chi\)-spherical Fourier transform. Zbl 1344.43005
Ho, Vivian M.; Ólafsson, Gestur
2
2015
A survey of amenability theory for direct-limit groups. Zbl 1353.43001
Dawson, Matthew; Ólafsson, Gestur
1
2015
Reflection positivity and conformal symmetry. Zbl 1290.22006
Neeb, Karl-Hermann; Ólafsson, Gestur
14
2014
The Paley-Wiener theorem and limits of symmetric spaces. Zbl 1305.43012
Ólafsson, Gestur; Wolf, Joseph A.
4
2014
The Radon transform and its dual for limits of symmetric spaces. Zbl 1323.43005
Hilgert, Joachim; Ólafsson, Gestur
1
2014
Ramanujan’s master theorem for the hypergeometric Fourier transform associated with root systems. Zbl 1314.43002
Ólafsson, G.; Pasquale, A.
14
2013
Analytic and group-theoretic aspects of the cosine transform. Zbl 1292.43011
Ólafsson, G.; Pasquale, A.; Rubin, B.
9
2013
Sampling in spaces of bandlimited functions on commutative spaces. Zbl 1331.43006
Christensen, Jens Gerlach; Ólafsson, Gestur
5
2013
The Segal-Bargmann transform on compact symmetric spaces and their direct limits. Zbl 1283.22008
Ólafsson, Gestur; Wiboonton, Keng
4
2013
Direct systems of spherical functions and representations. Zbl 1280.43003
Dawson, Matthew; Ólafsson, Gestur; Wolf, Joseph A.
3
2013
The continuous spectrum in discrete series branching laws. Zbl 1362.22016
Harris, Benjamin; He, Hongyu; Ólafsson, Gestur
2
2013
The Cos\(^\lambda\) and Sin\(^\lambda\) transforms as intertwining operators between generalized principal series representations of SL\((n+1,\mathbb K)\). Zbl 1244.22007
Ólafsson, Gestur; Pasquale, Angela
18
2012
Coorbit description and atomic decomposition of Besov spaces. Zbl 1251.30062
Christensen, Jens G.; Mayeli, Azita; Ólafsson, Gestur
8
2012
Ramanujan’s master theorem for Riemannian symmetric spaces. Zbl 1246.43005
Ólafsson, Gestur; Pasquale, Angela
5
2012
On low-dimensional manifolds with isometric \(\mathrm {SO}_{0}(p, q)\)-actions. Zbl 1277.53046
Ólafsson, Gestur; Quiroga-Barranco, Raul
4
2012
Coorbit spaces for dual pairs. Zbl 1221.43003
Christensen, Jens Gerlach; Ólafsson, Gestur
21
2011
Extension of symmetric spaces and restriction of Weyl groups and invariant polynomials. Zbl 1234.43004
Ólafsson, Gestur; Wolf, Joseph A.
4
2011
Fourier transforms of spherical distributions on compact symmetric spaces. Zbl 1226.43005
Ólafsson, Gestur; Schlichtkrull, Henrik
3
2011
Paley-Wiener theorems with respect to the spectral parameter. Zbl 1235.43009
Dann, Susanna; Ólafsson, Gestur
2
2011
Fourier series on compact symmetric spaces: \(K\)-finite functions of small support. Zbl 1251.43003
Ólafsson, Gestur; Schlichtkrull, Henrik
2
2010
Examples of coorbit spaces for dual pairs. Zbl 1190.43004
Christensen, Jens Gerlach; Ólafsson, Gestur
18
2009
The selected works of Sigurđur Helgason. Edited by Gestur Ólafsson and Henrik Schlichtkrull. Zbl 1198.01044
Helgason, Sigurđur
1
2009
A local Paley-Wiener theorem for compact symmetric spaces. Zbl 1151.43006
Ólafsson, Gestur; Schlichtkrull, Henrik
11
2008
Representation theory, Radon transform and the heat equation on a Riemannian symmetric space. Zbl 1167.33309
Ólafsson, Gestur; Schlichtkrull, Henrik
5
2008
Harmonic analysis related to Schrödinger operators. Zbl 1256.42031
Ólafsson, Gestur; Zheng, Shijun
5
2008
Invariant functions on Grassmannians. Zbl 1256.43003
Ólafsson, Gestur; Rubin, Boris
2
2008
Coxeter groups, wavelets, multiresolution and sampling. Zbl 1213.42135
Dobrescu, Mihaela; Ólafsson, Gestur
1
2008
Radon transforms, geometry, and wavelets. AMS special session, New Orleans, LA, USA, January 7–8, 2007 and workshop, Baton Rouge, LA, USA, January 4–5, 2007. Zbl 1143.42002
1
2008
Laguerre functions on symmetric cones and recursion relations in the real case. Zbl 1104.43007
Aristidou, Michael; Davidson, Mark; Ólafsson, Gestur
5
2007
The Segal-Bargmann transform for the heat equation associated with root systems. Zbl 1141.43009
Ólafsson, Gestur; Schlichtkrull, Henrik
3
2007
Function spaces associated with Schrödinger operators: the Pöschl-Teller potential. Zbl 1119.42008
Ólafsson, Gestur; Zheng, Shijun
10
2006
The Radon transform, inverse problems, and tomography. American Mathematical Society short course, Atlanta, GA, USA, January 3–4, 2005. Zbl 1085.44001
6
2006
Higher-rank wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices. Zbl 1101.42019
Ólafsson, Gestur; Ournycheva, Elena; Rubin, Boris
4
2006
Differential recursion relations for Laguerre functions on symmetric cones. Zbl 1091.33005
Aristidou, Michael; Davidson, Mark; Ólafsson, Gestur
4
2006
Horospherical model for holomorphic discrete series and horospherical Cauchy transform. Zbl 1108.22009
Gindikin, Simon; Krötz, Bernhard; Ólafsson, Gestur
3
2006
Wavelet sets without groups. Zbl 1129.42432
Dobrescu, Mihaela; Ólafsson, Gestur
3
2006
Holomorphic Fock spaces for positive linear transformations. Zbl 1136.46021
Fabec, R.; Ólafsson, G.; Sengupta, A. N.
3
2006
Support properties and Holmgren’s uniqueness theorem for differential operators with hyperplane singularities. Zbl 1103.35009
Ólafsson, Gestur; Pasquale, Angela
1
2006
Holomorphic horospherical transform on noncompactly causal spaces. Zbl 1112.22001
Gindikin, Simon; Krötz, Bernhard; Ólafsson, Gestur
1
2006
The image of the heat kernel transform on Riemannian symmetric spaces of the noncompact type. Zbl 1079.22007
Krötz, Bernhard; Ólafsson, Gestur; Stanton, Robert J.
18
2005
The Paley-Wiener theorem and the local Huygens’ principle for compact symmetric spaces: the even multiplicity case. Zbl 1113.53034
Branson, Thomas; Ólafsson, Gestur; Pasquale, Angela
12
2005
The Paley-Wiener theorem for the Jacobi transform and the local Huygens’ principle for root systems with even multiplicities. Zbl 1168.43302
Branson, Thomas; Ólafsson, Gestur; Pasquale, Angela
8
2005
Continuous action of Lie groups on \(\mathbb R^n\) and frames. Zbl 1089.42023
Ólafsson, G.
3
2005
A Paley-Wiener theorem for the \(\Theta\)-hypergeometric transform: the even multiplicity case. Zbl 1058.33015
Ólafsson, Gestur; Pasquale, Angela
11
2004
Wavelets, wavelet sets, and linear actions on \(\mathbb{R}^n\). Zbl 1085.42019
Ólafsson, Gestur; Speegle, Darrin
6
2004
Holomorphic \(H\)-spherical distribution vectors in principal series representations. Zbl 1062.22031
Gindikin, Simon; Krötz, Bernhard; Ólafsson, Gestur
5
2004
Paley-Wiener theorems for the \({\Theta}\)-spherical transform: an overview. Zbl 1064.43011
Ólafsson, Gestur; Pasquale, Angela
5
2004
The generalized Segal–Bargmann transform and special functions. Zbl 1082.22010
Davidson, Mark; Ólafsson, Gestur
4
2004
Wavelets and frames. Zbl 1077.42500
1
2004
Laplace and Segal–Bargmann transforms on Hermitian symmetric spaces and orthogonal polynomials. Zbl 1035.32014
Davidson, Mark; Ólafsson, Gestur; Zhang, Genkai
20
2003
On the inversion of the Laplace and Abel transforms for causal symmetric spaces. Zbl 1037.43010
Andersen, N. B.; Ólafsson, G.; Schlichtkrull, H.
9
2003
The continuous wavelet transform and symmetric spaces. Zbl 1033.42032
Fabec, R.; Ólafsson, G.
6
2003
Differential recursion relations for Laguerre functions on Hermitian matrices. Zbl 1044.43003
Davidson, Mark; Ólafsson, Gestur
6
2003
Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum. Zbl 1037.43014
Gindikin, Simon; Krötz, Bernhard; Ólafsson, Gestur
3
2003
Laguerre polynomials, restriction principle, and holomorphic representations of SL\((2\mathbb R)\). Zbl 0993.22012
Davidson, Mark; Ólafsson, Gestur; Zhang, Genkai
13
2002
The \(c\)-function for non-compactly causal symmetric spaces. Zbl 1029.43008
Krötz, Bernhard; Ólafsson, Gestur
6
2002
Regularity properties of generalized Harish-Chandra expansions. Zbl 1015.43015
Ólafsson, Gestur; Pasquale, Angela
1
2002
On the meromorphic extension of the spherical functions on noncompactly causal symmetric spaces. Zbl 0985.43008
Ólafsson, G.; Pasquale, A.
5
2001
A Paley-Wiener theorem for the spherical Laplace transform on causal symmetric spaces of rank 1. Zbl 0958.43004
Andersen, Nils Byrial; Ólafsson, Gestur
3
2001
Causal compactification and Hardy spaces for spaces of Hermitian type. Zbl 1062.43017
Betten, Frank; Ólafsson, Gestur
3
2001
Spherical functions on mixed symmetric spaces. Zbl 0989.22017
Krötz, Bernhard; Neeb, Karl-Hermann; Ólafsson, Gestur
1
2001
Unitary representations and Osterwalder-Schrader duality. Zbl 0959.22008
Jørgensen, Palle E. T.; Ólafsson, Gestur
24
2000
Analytic continuation in representation theory and harmonic analysis. Zbl 0999.22017
Ólafsson, Gestur
15
2000
Minimal and maximal semigroups related to causal symmetric spaces. Zbl 0957.22015
Neumann, Andreas; Ólafsson, Gestur
4
2000
Causal compactification and Hardy spaces. Zbl 0928.43007
Ólafsson, G.; Ørsted, B.
7
1999
A conjugacy theorem for symmetric spaces. Zbl 0926.22005
Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G.
3
1999
Unitary representations of Lie groups with reflection symmetry. Zbl 0911.22012
Jørgensen, Palle E. T.; Ólafsson, Gestur
20
1998
Open problems in harmonic analysis on causal symmetric spaces. Zbl 0919.43006
Ólafsson, Gestur
2
1998
Causal symmetric spaces. Geometry and harmonic analysis. Zbl 0931.53004
Hilgert, Joachim; Ólafsson, Gestur
62
1997
Spherical representations and mixed symmetric spaces. Zbl 0887.22022
Krötz, Bernhard; Neeb, Karl-Hermann; Ólafsson, Gestur
11
1997
Helmholtz operators and symmetric space duality. Zbl 0878.35031
Branson, Thomas; Ólafsson, Gestur
1
1997
Spectrum generating operators and intertwining operators for representations induced from a maximal parabolic subgroup. Zbl 0841.22011
Branson, Thomas; Ólafsson, Gestur; Ørsted, Bent
29
1996
Generalizations of the Bargmann transform. Zbl 0916.22006
Ólafsson, Gestur; Ørsted, Bent
27
1996
Huygens’ principle in Riemannian symmetric spaces. Zbl 0822.43002
Branson, T.; Ólafsson, G.; Schlichtkrull, H.
12
1995
...and 16 more Documents
all top 5

Cited by 428 Authors

63 Ólafsson, Gestur
39 Neeb, Karl-Hermann
17 Ørsted, Bent
14 Jørgensen, Palle E. T.
14 Krötz, Bernhard J.
11 Quiroga-Barranco, Raul
11 Rubin, Boris
10 Christensen, Jens Gerlach
9 Branson, Thomas Patrick
9 Hilgert, Joachim
9 Pasquale, Angela
8 Frahm, Jan
8 Mejjaoli, Hatem
7 Führ, Hartmut
7 Morinelli, Vincenzo
7 Schlichtkrull, Henrik
7 Thangavelu, Sundaram
5 Davidson, Mark Gregory
5 Dawson, Matthew
5 Geatti, Laura
5 Gindikin, Simon Grigorevich
5 Zhang, Genkai
5 Zheng, Shijun
4 Andersen, Nils Byrial
4 Ben Saïd, Salem
4 Bernig, Andreas
4 Camporesi, Roberto
4 Harris, Benjamin
4 Kobayashi, Toshiyuki
4 Maksimenko, Egor A.
4 Mayeli, Azita
4 Naidu, D. Venku
4 Oeh, Daniel
4 Pedon, Emmanuel
4 Pevzner, Michael
4 van Velthoven, Jordy Timo
4 Wolf, Joseph Albert
3 Aldroubi, Akram
3 Cahen, Benjamin
3 Clare, Pierre
3 Delorme, Patrick
3 Fan, Xingya
3 Hall, Brian C.
3 Jaffe, Arthur Michael
3 Koufany, Khalid
3 Lechner, Gandalf
3 Mitchell, Jeffrey J.
3 Pusti, Sanjoy
3 Ramos-Vazquez, Gerardo
3 Sontz, Stephen Bruce
3 Tian, Feng
3 Trimèche, Khalifa
3 Vargas, Jorge Antonio
3 Voigtlaender, Felix
2 Ali, Syed Twareque
2 Anker, Jean-Philippe
2 Aristidou, Michael
2 Astengo, Francesca
2 Barrera-Castelán, Roberto Moisés
2 ben Simon, Gabi
2 Berge, Eirik
2 Cabrelli, Carlos A.
2 Casey, Stephen D.
2 Dahlke, Stephan
2 De Mari, Filippo
2 De Vito, Ernesto
2 Di Blasio, Bianca
2 Dobrev, Vladimir K.
2 Engliš, Miroslav
2 Faraut, Jacques
2 Feichtinger, Hans Georg
2 Gazeau, Jean-Pierre
2 Gröchenig, Karlheinz
2 Ha Huy Bang
2 Hartnick, Tobias
2 Hassini, Amina
2 He, Hongyu
2 He, Jianxun
2 Helminck, Aloysius G.
2 Homma, Yasushi
2 Hu, Zhangjian
2 Hug, Daniel
2 Huy, Vu Nhat
2 Jäkel, Christian D.
2 Jotsaroop, Kaur
2 Kakehi, Tomoyuki
2 Kuchment, Peter A.
2 Kuit, Job J.
2 Molchanov, Vladimir Fedorovich
2 Molter, Ursula Maria
2 Moretti, Valter
2 Narayanan, E. K.
2 Neretin, Yuriĭ Aleksandrovich
2 Oppio, Marco
2 Ournycheva, Elena
2 Pap, Margit
2 Petrosyan, Armenak
2 Pierfelice, Vittoria
2 Radha, Ramakrishnan
2 Ray, Swagato K.
...and 328 more Authors
all top 5

Cited in 142 Serials

48 Journal of Functional Analysis
15 Advances in Mathematics
14 Transactions of the American Mathematical Society
14 The Journal of Fourier Analysis and Applications
12 Journal of Lie Theory
10 Communications in Mathematical Physics
10 Complex Analysis and Operator Theory
9 Annales de l’Institut Fourier
9 Mathematische Annalen
6 Journal of Mathematical Analysis and Applications
6 Journal of Geometry and Physics
6 Integral Equations and Operator Theory
6 Inventiones Mathematicae
6 Mathematische Zeitschrift
6 Monatshefte für Mathematik
6 The Journal of Geometric Analysis
6 Integral Transforms and Special Functions
6 Transformation Groups
6 Representation Theory
6 Journal of Pseudo-Differential Operators and Applications
5 Journal of Mathematical Physics
5 Reviews in Mathematical Physics
5 Proceedings of the American Mathematical Society
5 Journal of High Energy Physics
5 Analysis and Mathematical Physics
4 Duke Mathematical Journal
4 Journal of Approximation Theory
4 Manuscripta Mathematica
4 Mathematische Nachrichten
4 Annals of Global Analysis and Geometry
4 Indagationes Mathematicae. New Series
4 Bulletin des Sciences Mathématiques
4 Analysis in Theory and Applications
4 International Journal of Wavelets, Multiresolution and Information Processing
3 Bulletin de la Société Mathématique de France
3 Functional Analysis and its Applications
3 Geometriae Dedicata
3 Numerical Functional Analysis and Optimization
3 Acta Applicandae Mathematicae
3 International Journal of Mathematics
3 Differential Geometry and its Applications
3 Applied and Computational Harmonic Analysis
3 Annales Mathématiques Blaise Pascal
3 Advances in Computational Mathematics
3 Boletín de la Sociedad Matemática Mexicana. Third Series
3 Annales Henri Poincaré
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Japanese Journal of Mathematics. 3rd Series
2 Communications in Algebra
2 Journal d’Analyse Mathématique
2 Acta Mathematica
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Journal of Algebra
2 Journal of the Mathematical Society of Japan
2 Memoirs of the American Mathematical Society
2 Pacific Journal of Mathematics
2 Proceedings of the London Mathematical Society. Third Series
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Revista de la Unión Matemática Argentina
2 Semigroup Forum
2 Zeitschrift für Analysis und ihre Anwendungen
2 Bulletin of the Iranian Mathematical Society
2 Forum Mathematicum
2 Journal of Mathematical Sciences (New York)
2 Advances in Applied Clifford Algebras
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Applied Mathematics and Computing
2 Analysis and Applications (Singapore)
2 Advances in Pure and Applied Mathematics
1 Bulletin of the Australian Mathematical Society
1 International Journal of Theoretical Physics
1 Inverse Problems
1 Israel Journal of Mathematics
1 Physics Letters. B
1 Rocky Mountain Journal of Mathematics
1 Arkiv för Matematik
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Compositio Mathematica
1 Illinois Journal of Mathematics
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Journal of the London Mathematical Society. Second Series
1 Journal für die Reine und Angewandte Mathematik
1 Kyungpook Mathematical Journal
1 Mathematica Scandinavica
1 Proceedings of the Japan Academy. Series A
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Ricerche di Matematica
1 Tôhoku Mathematical Journal. Second Series
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Physica D
1 Applied Numerical Mathematics
1 Revista Matemática Iberoamericana
1 Science in China. Series A
1 IMRN. International Mathematics Research Notices
1 Communications in Partial Differential Equations
1 Glasnik Matematički. Serija III
...and 42 more Serials
all top 5

Cited in 43 Fields

199 Topological groups, Lie groups (22-XX)
152 Abstract harmonic analysis (43-XX)
77 Harmonic analysis on Euclidean spaces (42-XX)
75 Differential geometry (53-XX)
74 Functional analysis (46-XX)
66 Operator theory (47-XX)
56 Quantum theory (81-XX)
51 Several complex variables and analytic spaces (32-XX)
38 Special functions (33-XX)
32 Partial differential equations (35-XX)
32 Global analysis, analysis on manifolds (58-XX)
30 Integral transforms, operational calculus (44-XX)
25 Nonassociative rings and algebras (17-XX)
15 Functions of a complex variable (30-XX)
13 Group theory and generalizations (20-XX)
12 Convex and discrete geometry (52-XX)
11 Information and communication theory, circuits (94-XX)
10 Real functions (26-XX)
10 Numerical analysis (65-XX)
9 Number theory (11-XX)
8 Manifolds and cell complexes (57-XX)
8 Probability theory and stochastic processes (60-XX)
7 Ordinary differential equations (34-XX)
7 Relativity and gravitational theory (83-XX)
5 Order, lattices, ordered algebraic structures (06-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Geometry (51-XX)
4 Associative rings and algebras (16-XX)
4 Dynamical systems and ergodic theory (37-XX)
3 Combinatorics (05-XX)
3 Mechanics of particles and systems (70-XX)
2 Algebraic geometry (14-XX)
2 Measure and integration (28-XX)
2 General topology (54-XX)
2 Statistical mechanics, structure of matter (82-XX)
1 General and overarching topics; collections (00-XX)
1 Category theory; homological algebra (18-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)

Citations by Year