Edit Profile (opens in new tab) Ólafsson, Gestur Co-Author Distance Author ID: olafsson.gestur Published as: Ólafsson, Gestur; Ólafsson, G.; Olafsson, Gestur more...less Homepage: https://www.math.lsu.edu/~olafsson/ External Links: MGP · ResearchGate · dblp · GND Documents Indexed: 143 Publications since 1982, including 5 Books and 18 Additional arXiv Preprints 11 Contributions as Editor Reviewing Activity: 11 Reviews Biographic References: 2 Publications Co-Authors: 73 Co-Authors with 145 Joint Publications 1,921 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 Christensen, Jens Gerlach 9 Krötz, Bernhard J. 8 Branson, Thomas Patrick 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 all top 5 Fields 96 Abstract harmonic analysis (43-XX) 92 Topological groups, Lie groups (22-XX) 34 Differential geometry (53-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 19 Several complex variables and analytic spaces (32-XX) 18 Quantum theory (81-XX) 17 Special functions (33-XX) 15 Functional analysis (46-XX) 12 Integral transforms, operational calculus (44-XX) 12 Operator theory (47-XX) 10 General and overarching topics; collections (00-XX) 9 Partial differential equations (35-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Manifolds and cell complexes (57-XX) 5 Numerical analysis (65-XX) 4 History and biography (01-XX) 4 Nonassociative rings and algebras (17-XX) 3 Measure and integration (28-XX) 3 Probability theory and stochastic processes (60-XX) 3 Information and communication theory, circuits (94-XX) 2 Group theory and generalizations (20-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 115 Publications have been cited 862 times in 432 Documents Cited by ▼ Year ▼ Causal symmetric spaces. Geometry and harmonic analysis. Zbl 0931.53004 Hilgert, Joachim; Ólafsson, Gestur 61 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 The holomorphic discrete series for affine symmetric spaces. I. Zbl 0678.22008 Ólafsson, G.; Ørsted, B. 29 1988 Generalizations of the Bargmann transform. Zbl 0916.22006 Ólafsson, Gestur; Ørsted, Bent 26 1996 Fourier and Poisson transformation associated to a semisimple symmetric space. Zbl 0665.43004 Olafsson, Gestur 25 1987 Antiunitary representations and modular theory. Zbl 1401.22011 Neeb, Karl-Hermann; Ólafsson, Gestur 24 2017 Hardy spaces on affine symmetric spaces. Zbl 0716.43006 Hilgert, J.; Ólafsson, G.; Ørsted, B. 24 1991 Unitary representations and Osterwalder-Schrader duality. Zbl 0959.22008 Jørgensen, Palle E. T.; Ólafsson, Gestur 23 2000 Unitary representations of Lie groups with reflection symmetry. Zbl 0911.22012 Jørgensen, Palle E. T.; Ólafsson, Gestur 20 1998 Spherical functions on ordered symmetric spaces. Zbl 0810.43003 Faraut, Jacques; Hilgert, Joachim; Ólafsson, Gestur 20 1994 Coorbit spaces for dual pairs. Zbl 1221.43003 Christensen, Jens Gerlach; Ólafsson, Gestur 20 2011 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 Symmetric spaces of Hermitian type. Zbl 0785.22021 Ólafsson, G. 17 1991 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 17 2012 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 14 2015 Reflection positivity and conformal symmetry. Zbl 1290.22006 Neeb, Karl-Hermann; Ólafsson, Gestur 14 2014 Laguerre polynomials, restriction principle, and holomorphic representations of SL\((2\mathbb R)\). Zbl 0993.22012 Davidson, Mark; Ólafsson, Gestur; Zhang, Genkai 13 2002 Analytic continuation in representation theory and harmonic analysis. Zbl 0999.22017 Ólafsson, Gestur 13 2000 Ramanujan’s master theorem for the hypergeometric Fourier transform associated with root systems. Zbl 1314.43002 Ólafsson, G.; Pasquale, A. 13 2013 Wave propagation on Riemannian symmetric spaces. Zbl 0757.58037 Ólafsson, G.; Schlichtkrull, H. 13 1992 Reflection positivity. A representation theoretic perspective. Zbl 1403.22001 Neeb, Karl-Hermann; Ólafsson, Gestur 12 2018 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 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 10 2005 A Paley-Wiener theorem for the \(\Theta\)-hypergeometric transform: the even multiplicity case. Zbl 1058.33015 Ólafsson, Gestur; Pasquale, Angela 10 2004 The holomorphic discrete series of an affine symmetric space and representations with reproducing kernels. Zbl 0760.22020 Ólafsson, G.; Ørsted, B. 10 1991 Function spaces associated with Schrödinger operators: the Pöschl-Teller potential. Zbl 1119.42008 Ólafsson, Gestur; Zheng, Shijun 10 2006 Analytic and group-theoretic aspects of the cosine transform. Zbl 1292.43011 Ólafsson, G.; Pasquale, A.; Rubin, B. 9 2013 Reflection positive one-parameter groups and dilations. Zbl 1322.43002 Neeb, Karl-Hermann; Ólafsson, Gestur 9 2015 Equipartition of energy for waves in symmetric space. Zbl 0796.43006 Branson, Thomas P.; Ólafsson, Gestur 9 1991 New atomic decompositions for Bergman spaces on the unit ball. Zbl 1372.32012 Christensen, Jens Gerlach; Gröchenig, Karlheinz; Ólafsson, Gestur 9 2017 A local Paley-Wiener theorem for compact symmetric spaces. Zbl 1151.43006 Ólafsson, Gestur; Schlichtkrull, Henrik 9 2008 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 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 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 7 2005 Nets of standard subspaces on Lie groups. Zbl 1487.22015 Neeb, Karl-Hermann; Ólafsson, Gestur 7 2021 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 Reflection positive stochastic processes indexed by Lie groups. Zbl 1343.22008 Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur 5 2016 On the meromorphic extension of the spherical functions on noncompactly causal symmetric spaces. Zbl 0985.43008 Ólafsson, G.; Pasquale, A. 5 2001 The Radon transform, inverse problems, and tomography. American Mathematical Society short course, Atlanta, GA, USA, January 3–4, 2005. Zbl 1085.44001 5 2006 Sampling in spaces of bandlimited functions on commutative spaces. Zbl 1331.43006 Christensen, Jens Gerlach; Ólafsson, Gestur 5 2013 Laguerre functions on symmetric cones and recursion relations in the real case. Zbl 1104.43007 Aristidou, Michael; Davidson, Mark; Ólafsson, Gestur 5 2007 Holomorphic \(H\)-spherical distribution vectors in principal series representations. Zbl 1062.22031 Gindikin, Simon; Krötz, Bernhard; Ólafsson, Gestur 5 2004 Is there an orbit method for affine symmetric spaces? Zbl 0746.22007 Olafsson, Gestur; Ørsted, Bent 5 1990 Representation theory, Radon transform and the heat equation on a Riemannian symmetric space. Zbl 1167.33309 Ólafsson, Gestur; Schlichtkrull, Henrik 5 2008 Coorbits for projective representations with an application to Bergman spaces. Zbl 1422.32009 Christensen, Jens Gerlach; Darweesh, Amer H.; Ólafsson, Gestur 5 2019 Wave front sets of reductive Lie group representations. Zbl 1341.22008 Harris, Benjamin; He, Hongyu; Ólafsson, Gestur 5 2016 Differential recursion relations for Laguerre functions on Hermitian matrices. Zbl 1044.43003 Davidson, Mark; Ólafsson, Gestur 5 2003 Harmonic analysis related to Schrödinger operators. Zbl 1256.42031 Ólafsson, Gestur; Zheng, Shijun 5 2008 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 Minimal and maximal semigroups related to causal symmetric spaces. Zbl 0957.22015 Neumann, Andreas; Ólafsson, Gestur 4 2000 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 Differential recursion relations for Laguerre functions on symmetric cones. Zbl 1091.33005 Aristidou, Michael; Davidson, Mark; Ólafsson, Gestur 4 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 The generalized Segal–Bargmann transform and special functions. Zbl 1082.22010 Davidson, Mark; Ólafsson, Gestur 4 2004 Paley-Wiener theorems for the \({\Theta}\)-spherical transform: an overview. Zbl 1064.43011 Ólafsson, Gestur; Pasquale, Angela 4 2004 Extension of symmetric spaces and restriction of Weyl groups and invariant polynomials. Zbl 1234.43004 Ólafsson, Gestur; Wolf, Joseph A. 4 2011 The Segal-Bargmann transform on compact symmetric spaces and their direct limits. Zbl 1283.22008 Ólafsson, Gestur; Wiboonton, Keng 4 2013 Ramanujan’s master theorem for Riemannian symmetric spaces. Zbl 1246.43005 Ólafsson, Gestur; Pasquale, Angela 4 2012 Reflection positivity on real intervals. Zbl 1407.43003 Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur 3 2018 A conjugacy theorem for symmetric spaces. Zbl 0926.22005 Helminck, A. G.; Hilgert, J.; Neumann, A.; Ólafsson, G. 3 1999 Causal compactification and Hardy spaces for spaces of Hermitian type. Zbl 1062.43017 Betten, Frank; Ólafsson, Gestur 3 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 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 The Paley-Wiener theorem and limits of symmetric spaces. Zbl 1305.43012 Ólafsson, Gestur; Wolf, Joseph A. 3 2014 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 The Segal-Bargmann transform for the heat equation associated with root systems. Zbl 1141.43009 Ólafsson, Gestur; Schlichtkrull, Henrik 3 2007 Continuous action of Lie groups on \(\mathbb R^n\) and frames. Zbl 1089.42023 Ólafsson, G. 3 2005 Die Langlands-Parameter für die Flensted-Jensensche fundamentale Reihe. Zbl 0561.22008 Olafsson, Gestur 3 1984 Direct systems of spherical functions and representations. Zbl 1280.43003 Dawson, Matthew; Ólafsson, Gestur; Wolf, Joseph A. 3 2013 Holomorphic Fock spaces for positive linear transformations. Zbl 1136.46021 Fabec, R.; Ólafsson, G.; Sengupta, A. N. 3 2006 Hardy spaces for non-compactly causal symmetric spaces and the most continuous spectrum. Zbl 1037.43014 Gindikin, Simon; Krötz, Bernhard; Ólafsson, Gestur 3 2003 From Euler elements and 3-gradings to non-compactly causal symmetric spaces. Zbl 1528.22009 Morinelli, Vincenzo; Neeb, Karl-Hermann; Olafsson, Gestur 3 2023 KMS conditions, standard real subspaces and reflection positivity on the circle group. Zbl 1422.43009 Neeb, Karl-Hermann; Ólafsson, Gestur 2 2019 Open problems in harmonic analysis on causal symmetric spaces. Zbl 0919.43006 Ólafsson, Gestur 2 1998 Wedge domains in non-compactly causal symmetric spaces. Zbl 1527.22022 Neeb, Karl-Hermann; Ólafsson, Gestur 2 2023 Fourier transforms of spherical distributions on compact symmetric spaces. Zbl 1226.43005 Ólafsson, Gestur; Schlichtkrull, Henrik 2 2011 Reflection positivity on spheres. Zbl 1441.22033 Neeb, Karl-Hermann; Ólafsson, Gestur 2 2020 On low-dimensional manifolds with isometric \(\mathrm {SO}_{0}(p, q)\)-actions. Zbl 1277.53046 Ólafsson, Gestur; Quiroga-Barranco, Raul 2 2012 Invariant functions on Grassmannians. Zbl 1256.43003 Ólafsson, Gestur; Rubin, Boris 2 2008 Wedge domains in compactly causal symmetric spaces. Zbl 07702890 Neeb, Karl-Hermann; Ólafsson, Gestur 2 2023 On low-dimensional manifolds with isometric \(\widetilde{\mathrm{U}} (p, q)\)-actions. Zbl 1404.57054 Ólafsson, Gestur; Quiroga-Barranco, Raul 1 2017 The Berezin form on symmetric \(R\)-spaces and reflection positivity. Zbl 1395.22005 Frahm, Jan; Ólafsson, Gestur; Ørsted, Bent 1 2017 A survey of amenability theory for direct-limit groups. Zbl 1353.43001 Dawson, Matthew; Ólafsson, Gestur 1 2015 An application of hypergeometric shift operators to the \(\chi\)-spherical Fourier transform. Zbl 1344.43005 Ho, Vivian M.; Ólafsson, Gestur 1 2015 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 Reflection positivity. Abstracts from the workshop held November 26 – December 2, 2017. Zbl 1409.00095 1 2017 Fourier and Poisson transformation associated to a semisimple symmetric space. Zbl 0607.43007 Olafsson, Gestur 1 1986 From Euler elements and 3-gradings to non-compactly causal symmetric spaces. Zbl 1528.22009 Morinelli, Vincenzo; Neeb, Karl-Hermann; Olafsson, Gestur 3 2023 Wedge domains in non-compactly causal symmetric spaces. Zbl 1527.22022 Neeb, Karl-Hermann; Ólafsson, Gestur 2 2023 Wedge domains in compactly causal symmetric spaces. Zbl 07702890 Neeb, Karl-Hermann; Ólafsson, Gestur 2 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 7 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 \(\text{U}(2)\times\mathbb{T}^2\)-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 5 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 12 2018 Reflection positivity on real intervals. Zbl 1407.43003 Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur 3 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 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 1 2017 The Berezin form on symmetric \(R\)-spaces and reflection positivity. Zbl 1395.22005 Frahm, Jan; Ólafsson, Gestur; Ørsted, Bent 1 2017 Reflection positivity. Abstracts from the workshop held November 26 – December 2, 2017. Zbl 1409.00095 1 2017 Reflection positive stochastic processes indexed by Lie groups. Zbl 1343.22008 Jorgensen, Palle E. T.; Neeb, Karl-Hermann; Ólafsson, Gestur 5 2016 Wave front sets of reductive Lie group representations. Zbl 1341.22008 Harris, Benjamin; He, Hongyu; 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 14 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 A survey of amenability theory for direct-limit groups. Zbl 1353.43001 Dawson, Matthew; Ólafsson, Gestur 1 2015 An application of hypergeometric shift operators to the \(\chi\)-spherical Fourier transform. Zbl 1344.43005 Ho, Vivian M.; 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. 3 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. 13 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 1 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 17 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 4 2012 On low-dimensional manifolds with isometric \(\mathrm {SO}_{0}(p, q)\)-actions. Zbl 1277.53046 Ólafsson, Gestur; Quiroga-Barranco, Raul 2 2012 Coorbit spaces for dual pairs. Zbl 1221.43003 Christensen, Jens Gerlach; Ólafsson, Gestur 20 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 2 2011 Paley-Wiener theorems with respect to the spectral parameter. Zbl 1235.43009 Dann, Susanna; Ólafsson, Gestur 1 2011 Fourier series on compact symmetric spaces: \(K\)-finite functions of small support. Zbl 1251.43003 Ólafsson, Gestur; Schlichtkrull, Henrik 1 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 9 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 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 Coxeter groups, wavelets, multiresolution and sampling. Zbl 1213.42135 Dobrescu, Mihaela; Ólafsson, Gestur 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 5 2006 Differential recursion relations for Laguerre functions on symmetric cones. Zbl 1091.33005 Aristidou, Michael; Davidson, Mark; Ólafsson, Gestur 4 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 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 10 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 7 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 10 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 The generalized Segal–Bargmann transform and special functions. Zbl 1082.22010 Davidson, Mark; Ólafsson, Gestur 4 2004 Paley-Wiener theorems for the \({\Theta}\)-spherical transform: an overview. Zbl 1064.43011 Ólafsson, Gestur; Pasquale, Angela 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 5 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 Causal compactification and Hardy spaces for spaces of Hermitian type. Zbl 1062.43017 Betten, Frank; Ólafsson, Gestur 3 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 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 23 2000 Analytic continuation in representation theory and harmonic analysis. Zbl 0999.22017 Ólafsson, Gestur 13 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 61 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 26 1996 Huygens’ principle in Riemannian symmetric spaces. Zbl 0822.43002 Branson, T.; Ólafsson, G.; Schlichtkrull, H. 12 1995 ...and 15 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 412 Authors 62 Ólafsson, Gestur 39 Neeb, Karl-Hermann 16 Ørsted, Bent 14 Jørgensen, Palle E. T. 14 Krötz, Bernhard J. 11 Rubin, Boris 10 Quiroga-Barranco, Raul 9 Branson, Thomas Patrick 9 Christensen, Jens Gerlach 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 Camporesi, Roberto 4 Harris, Benjamin 4 Kobayashi, Toshiyuki 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 Bernig, Andreas 3 Cahen, Benjamin 3 Clare, Pierre 3 Delorme, Patrick 3 Hall, Brian C. 3 Jaffe, Arthur Michael 3 Koufany, Khalid 3 Lechner, Gandalf 3 Maksimenko, Egor A. 3 Mitchell, Jeffrey J. 3 Pusti, Sanjoy 3 Sontz, Stephen Bruce 3 Tian, Feng 3 Trimèche, Khalifa 3 Voigtlaender, Felix 2 Ali, Syed Twareque 2 Anker, Jean-Philippe 2 Aristidou, Michael 2 Astengo, Francesca 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 Fan, Xingya 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 Helminck, Aloysius G. 2 Homma, Yasushi 2 Hu, Zhangjian 2 Hug, Daniel 2 Huy, Vu Nhat 2 Jäkel, Christian D. 2 Jotsaroop, Kaur 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 Ramos-Vazquez, Gerardo 2 Ray, Swagato K. 2 Ricci, Fulvio 2 Roblero-Méndez, Eli 2 Rumynin, Dmitriy Anatol’evich 2 San Martin, Luiz Antonio Barrera ...and 312 more Authors all top 5 Cited in 142 Serials 48 Journal of Functional Analysis 14 Advances in Mathematics 14 Transactions of the American Mathematical Society 14 The Journal of Fourier Analysis and Applications 10 Journal of Lie Theory 9 Communications in Mathematical Physics 9 Annales de l’Institut Fourier 9 Mathematische Annalen 9 Complex Analysis and Operator Theory 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 5 Journal of Mathematical Physics 5 Reviews in Mathematical Physics 5 Proceedings of the American Mathematical Society 5 Journal of High Energy Physics 5 Journal of Pseudo-Differential Operators and Applications 4 Duke Mathematical Journal 4 Journal of Approximation Theory 4 Manuscripta Mathematica 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 4 Analysis and Mathematical Physics 3 Functional Analysis and its Applications 3 Geometriae Dedicata 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. 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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 Proceedings of the London Mathematical Society. Third Series 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 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série ...and 42 more Serials all top 5 Cited in 43 Fields 191 Topological groups, Lie groups (22-XX) 148 Abstract harmonic analysis (43-XX) 75 Harmonic analysis on Euclidean spaces (42-XX) 75 Functional analysis (46-XX) 71 Differential geometry (53-XX) 63 Operator theory (47-XX) 56 Quantum theory (81-XX) 51 Several complex variables and analytic spaces (32-XX) 36 Special functions (33-XX) 32 Global analysis, analysis on manifolds (58-XX) 31 Partial differential equations (35-XX) 30 Integral transforms, operational calculus (44-XX) 25 Nonassociative rings and algebras (17-XX) 13 Group theory and generalizations (20-XX) 13 Functions of a complex variable (30-XX) 11 Convex and discrete geometry (52-XX) 11 Information and communication theory, circuits (94-XX) 10 Real functions (26-XX) 9 Number theory (11-XX) 9 Numerical analysis (65-XX) 8 Probability theory and stochastic processes (60-XX) 7 Ordinary differential equations (34-XX) 7 Manifolds and cell complexes (57-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) 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) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year