# zbMATH — the first resource for mathematics

## Stanton, Robert J.

Compute Distance To:
 Author ID: stanton.robert-j Published as: Stanton, R. J.; Stanton, Robert; Stanton, Robert J. External Links: MGP
 Documents Indexed: 26 Publications since 1976, including 3 Books
all top 5

#### Co-Authors

 3 single-authored 8 Tomas, Peter A. 3 Krötz, Bernhard J. 3 Ólafsson, Gestur 3 Slupinski, Marcus J. 2 Gilbert, John E. 2 Kunze, Ray Alden 2 Moscovici, Henri 1 Bourguignon, Jean-Pierre 1 Branson, Thomas Patrick 1 Casian, Luis G. 1 Chamseddine, Ali Hani 1 Cogdell, James W. 1 Hijazi, Oussama 1 Jiang, Dihua 1 Kenig, Carlos Eduardo 1 Kudla, Stephen S. 1 Soudry, David 1 Weinstein, Alan David 1 Wells, Raymond O. jun.
all top 5

#### Serials

 3 Inventiones Mathematicae 3 Journal of Functional Analysis 2 American Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Acta Mathematica 1 Journal of Algebra 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Geometric and Functional Analysis. GAFA 1 Annals of Mathematics. Second Series 1 Bulletin of the American Mathematical Society 1 Ohio State University Mathematical Research Institute Publications
all top 5

#### Fields

 13 Topological groups, Lie groups (22-XX) 12 Abstract harmonic analysis (43-XX) 5 Differential geometry (53-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH Open

19 Publications have been cited 267 times in 223 Documents Cited by Year
Expansions for spherical functions on noncompact symmetric spaces. Zbl 0411.43014
Stanton, Robert J.; Tomas, Peter A.
1978
Holomorphic extensions of representations. II: Geometry and harmonic analysis. Zbl 1078.22009
Krötz, B.; Stanton, R. J.
2005
Holomorphic extensions of representations. I: Automorphic functions. Zbl 1053.22009
Krötz, Bernhard; Stanton, Robert J.
2004
$$R$$-torsion and zeta functions for locally symmetric manifolds. Zbl 0789.58073
Moscovici, Henri; Stanton, Robert J.
1991
Divergence of eigenfunction expansions. Zbl 0506.47014
Kenig, C. E.; Stanton, R. J.; Tomas, P. A.
1982
Polyhedral summability of Fourier series on compact Lie groups. Zbl 0421.43009
Stanton, Robert J.; Tomas, Peter A.
1978
Mean convergence of Fourier series on compact Lie groups. Zbl 0327.43010
Stanton, Robert J.
1976
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.
2005
Eta invariants of Dirac operators on locally symmetric manifolds. Zbl 0672.58043
Moscovici, Henri; Stanton, Robert J.
1989
Analytic extension of the holomorphic discrete series. Zbl 0626.43008
Stanton, Robert J.
1986
Schubert cells and representation theory. Zbl 0954.22011
Casian, Luis; Stanton, Robert J.
1999
On the $$L^ 4$$ norm of spherical harmonics. Zbl 0479.33010
Stanton, Robert J.; Weinstein, Alan
1981
Higher gradients and representations of Lie groups. Zbl 0512.43001
Gilbert, J. E.; Tomas, P. A.; Kunze, R. A.; Stanton, R. J.
1983
Pointwise inversion of the spherical transform on $$L^p(G/K)$$, $$1\leq p<2$$. Zbl 0417.43007
Stanton, Robert J.; Tomas, Peter A.
1979
The geometry of special symplectic representations. Zbl 1354.17008
Slupinski, Marcus J.; Stanton, Robert J.
2015
The special symplectic structure of binary cubics. Zbl 1272.12008
Slupinski, Marcus J.; Stanton, Robert J.
2012
Automorphic representations, $$L$$-functions and applications. Progress and prospects. Proceedings of a conference honoring Steve Rallis on the occasion of his 60th birthday, Columbus, OH, USA, March 27–30, 2003. Zbl 1076.11002
Cogdell, James W. (ed.); Jiang, Dihua (ed.); Kudla, Stephen S. (ed.); Soudry, David (ed.); Stanton, Robert (ed.)
2005
Convergence of Fourier series on compact Lie groups. Zbl 0322.43013
Stanton, Robert J.; Tomas, Peter A.
1976
A note on the Kunze-Stein phenomenon. Zbl 0394.43002
Stanton, Robert J.; Tomas, Peter A.
1978
The geometry of special symplectic representations. Zbl 1354.17008
Slupinski, Marcus J.; Stanton, Robert J.
2015
The special symplectic structure of binary cubics. Zbl 1272.12008
Slupinski, Marcus J.; Stanton, Robert J.
2012
Holomorphic extensions of representations. II: Geometry and harmonic analysis. Zbl 1078.22009
Krötz, B.; Stanton, R. J.
2005
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.
2005
Automorphic representations, $$L$$-functions and applications. Progress and prospects. Proceedings of a conference honoring Steve Rallis on the occasion of his 60th birthday, Columbus, OH, USA, March 27–30, 2003. Zbl 1076.11002
Cogdell, James W. (ed.); Jiang, Dihua (ed.); Kudla, Stephen S. (ed.); Soudry, David (ed.); Stanton, Robert (ed.)
2005
Holomorphic extensions of representations. I: Automorphic functions. Zbl 1053.22009
Krötz, Bernhard; Stanton, Robert J.
2004
Schubert cells and representation theory. Zbl 0954.22011
Casian, Luis; Stanton, Robert J.
1999
$$R$$-torsion and zeta functions for locally symmetric manifolds. Zbl 0789.58073
Moscovici, Henri; Stanton, Robert J.
1991
Eta invariants of Dirac operators on locally symmetric manifolds. Zbl 0672.58043
Moscovici, Henri; Stanton, Robert J.
1989
Analytic extension of the holomorphic discrete series. Zbl 0626.43008
Stanton, Robert J.
1986
Higher gradients and representations of Lie groups. Zbl 0512.43001
Gilbert, J. E.; Tomas, P. A.; Kunze, R. A.; Stanton, R. J.
1983
Divergence of eigenfunction expansions. Zbl 0506.47014
Kenig, C. E.; Stanton, R. J.; Tomas, P. A.
1982
On the $$L^ 4$$ norm of spherical harmonics. Zbl 0479.33010
Stanton, Robert J.; Weinstein, Alan
1981
Pointwise inversion of the spherical transform on $$L^p(G/K)$$, $$1\leq p<2$$. Zbl 0417.43007
Stanton, Robert J.; Tomas, Peter A.
1979
Expansions for spherical functions on noncompact symmetric spaces. Zbl 0411.43014
Stanton, Robert J.; Tomas, Peter A.
1978
Polyhedral summability of Fourier series on compact Lie groups. Zbl 0421.43009
Stanton, Robert J.; Tomas, Peter A.
1978
A note on the Kunze-Stein phenomenon. Zbl 0394.43002
Stanton, Robert J.; Tomas, Peter A.
1978
Mean convergence of Fourier series on compact Lie groups. Zbl 0327.43010
Stanton, Robert J.
1976
Convergence of Fourier series on compact Lie groups. Zbl 0322.43013
Stanton, Robert J.; Tomas, Peter A.
1976
all top 5

#### Cited by 248 Authors

 13 Ólafsson, Gestur 9 Meaney, Christopher 9 Travaglini, Giancarlo 8 Krötz, Bernhard J. 8 Thangavelu, Sundaram 7 Martini, Alessio 6 Giulini, Saverio 5 Ionescu, Alexandru D. 5 Neeb, Karl-Hermann 5 Ørsted, Bent 5 Sogge, Christopher D. 5 Stanton, Robert J. 4 Colzani, Leonardo 4 Deitmar, Anton 4 Geatti, Laura 4 Schlichtkrull, Henrik 4 Shen, Shu 3 Bismut, Jean-Michel 3 Chen, Peng 3 Cowling, Michael G. 3 Hall, Brian C. 3 Hare, Kathryn E. 3 Kodama, Yuji 3 Mitchell, Jeffrey J. 3 Müller, Detlef 3 Ray, Swagato K. 3 Sarkar, Rudra P. 3 Slupinski, Marcus J. 3 Stenzel, Matthew B. 3 Vallarino, Maria 2 Anker, Jean-Philippe 2 Barchini, Leticia 2 Ben Saïd, Salem 2 Brandolini, Luca 2 Bytsenko, Andrei A. 2 Casian, Luis G. 2 Davidson, Mark Gregory 2 Dreseler, Bernd 2 Garrett, Paul Brittingham 2 Gindikin, Simon Grigorevich 2 Gong, Donggeng 2 Guillarmou, Colin 2 Hilgert, Joachim 2 Hu, Zhangjian 2 Iannuzzi, Andrea 2 Kobayashi, Toshiyuki 2 Lohoué, Noël 2 Marias, Michel 2 Meda, Stefano 2 Moroianu, Sergiu 2 Naidu, D. Venku 2 Narayanan, E. K. 2 Ottazzi, Alessandro 2 Ouhabaz, El Maati 2 Park, Jinsung 2 Pasquale, Angela 2 Pinsky, Mark Allan 2 Prestini, Elena 2 Rabelo, Lonardo 2 Reznikov, Andre 2 Ricci, Fulvio 2 San Martin, Luiz Antonio Barrera 2 Sikora, Adam S. 2 Sivaramakrishnan, C. 2 Soardi, Paolo Maurizio 2 Spilioti, Polyxeni 2 Staffilani, Gigliola 2 Stanke, Ronald J. 2 Sukumar, Daniel 2 Taylor, Michael Eugene 2 Weinstein, Alan David 2 Wolf, Joseph Albert 2 Xu, Yuan 2 Zworski, Maciej 1 Abdalla, Maria Cristina B. 1 Abuaf, Roland 1 Adrian, Moshe 1 Akylzhanov, Rauan Kh. 1 Alexopoulos, Georgios K. 1 Alldridge, Alexander 1 Altomani, Andrea 1 Bennett, Jonathan M. 1 Bernstein, Joseph 1 Bez, Neal 1 Bhowmik, Mithun 1 Boavida, João Pedro 1 Bolte, Jens 1 Branson, Thomas Patrick 1 Bray, William O. 1 Brüning, Jochen 1 Burns, Daniel M. jun. 1 Burq, Nicolas 1 Buschenhenke, Stefan 1 Camporesi, Roberto 1 Carbonaro, Andrea 1 Casarino, Valentina 1 Cazzaniga, Franco 1 Chadli, Mohammed 1 Chen, Xianghong 1 Christ, F. M. ...and 148 more Authors
all top 5

#### Cited in 83 Serials

 26 Journal of Functional Analysis 13 Mathematische Annalen 13 Transactions of the American Mathematical Society 11 Duke Mathematical Journal 9 Inventiones Mathematicae 7 Annales de l’Institut Fourier 6 Advances in Mathematics 6 Mathematische Zeitschrift 6 Monatshefte für Mathematik 6 Proceedings of the American Mathematical Society 5 The Journal of Fourier Analysis and Applications 4 Arkiv för Matematik 4 Integral Equations and Operator Theory 4 Tohoku Mathematical Journal. Second Series 3 Compositio Mathematica 3 Journal of Algebra 3 Memoirs of the American Mathematical Society 3 Annals of Global Analysis and Geometry 3 The Journal of Geometric Analysis 3 Journal of the Institute of Mathematics of Jussieu 3 Bulletin of the American Mathematical Society 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Analysis and Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Archiv der Mathematik 2 Journal of Number Theory 2 Journal of Soviet Mathematics 2 Manuscripta Mathematica 2 Ergodic Theory and Dynamical Systems 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 Differential Geometry and its Applications 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 The Ramanujan Journal 2 Advances in Pure and Applied Mathematics 1 International Journal of Modern Physics A 1 Analysis Mathematica 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Linear and Multilinear Algebra 1 Rocky Mountain Journal of Mathematics 1 Transport Theory and Statistical Physics 1 Acta Mathematica 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of Multivariate Analysis 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Results in Mathematics 1 Semigroup Forum 1 Topology and its Applications 1 Acta Applicandae Mathematicae 1 Constructive Approximation 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Chinese Science Bulletin 1 Integral Transforms and Special Functions 1 Transformation Groups 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Advances in Geometry 1 Journal of Machine Learning Research (JMLR) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Dynamical Systems and Geometric Theories 1 Oberwolfach Reports 1 Journal of Fixed Point Theory and Applications 1 Journal of Physics A: Mathematical and Theoretical 1 Analysis & PDE 1 Japanese Journal of Mathematics. 3rd Series 1 Journal of Pseudo-Differential Operators and Applications 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Bollettino dell’Unione Matematica Italiana
all top 5

#### Cited in 36 Fields

 94 Abstract harmonic analysis (43-XX) 84 Topological groups, Lie groups (22-XX) 50 Global analysis, analysis on manifolds (58-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 36 Differential geometry (53-XX) 30 Partial differential equations (35-XX) 28 Several complex variables and analytic spaces (32-XX) 24 Number theory (11-XX) 19 Operator theory (47-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Special functions (33-XX) 11 Manifolds and cell complexes (57-XX) 9 Functional analysis (46-XX) 8 Nonassociative rings and algebras (17-XX) 6 Algebraic geometry (14-XX) 5 Functions of a complex variable (30-XX) 5 Integral transforms, operational calculus (44-XX) 5 Quantum theory (81-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 3 Relativity and gravitational theory (83-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Convex and discrete geometry (52-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)