# zbMATH — the first resource for mathematics

## Speh, Birgit

Compute Distance To:
 Author ID: speh.birgit Published as: Speh, B.; Speh, Birgit External Links: MGP · Wikidata · GND
 Documents Indexed: 46 Publications since 1977, including 2 Books Reviewing Activity: 30 Reviews
all top 5

#### Co-Authors

 13 single-authored 13 Rohlfs, Jürgen 4 Kobayashi, Toshiyuki 4 Venkataramana, Tyakal Nanjundiah 3 Knapp, Anthony William 2 Müller, Werner 2 Ørsted, Bent 2 Vogan, David Alexander jun. 1 Barbasch, Dan M. 1 Gomez, Raul 1 Lapid, Erez Moshe 1 Sahi, Siddhartha 1 Shin, Sug Woo 1 Templier, Nicolas 1 Zhang, Guanghao
all top 5

#### Serials

 3 Journal of Functional Analysis 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Mathematische Annalen 1 Indian Journal of Pure & Applied Mathematics 1 Acta Mathematica 1 Inventiones Mathematicae 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the National Academy of Sciences of the United States of America 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Pure and Applied Mathematics Quarterly 1 Lecture Notes in Mathematics
all top 5

#### Fields

 40 Topological groups, Lie groups (22-XX) 18 Number theory (11-XX) 6 Abstract harmonic analysis (43-XX) 4 Manifolds and cell complexes (57-XX) 2 Algebraic geometry (14-XX) 2 Differential geometry (53-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX)

#### Citations contained in zbMATH

34 Publications have been cited 311 times in 245 Documents Cited by Year
Reducibility of generalized principal series representations. Zbl 0457.22011
Speh, Birgit; Vogan, David A. jun.
1980
Unitary representations of Gl(n,R) with non-trivial (g,K)-cohomology. Zbl 0505.22015
Speh, Birgit
1983
The unitary dual of $$Gl(3,R)$$ and $$Gl(4,R)$$. Zbl 0483.22005
Speh, Birgit
1981
Symmetry breaking for representations of rank one orthogonal groups. Zbl 1334.22015
Kobayashi, Toshiyuki; Speh, Birgit
2015
Absolute convergence of the spectral side of the Arthur trace formula for $$\text{GL}_n$$. Zbl 1083.11031
Müller, W.; Speh, B.; Lapid, E. M.
2004
On limit multiplicities of representations with cohomology in the cuspidal spectrum. Zbl 0626.22008
Rohlfs, Jürgen; Speh, Birgit
1987
Irreducible unitary representations of SU(2,2). Zbl 0543.22011
Knapp, A. W.; Speh, B.
1982
Degenerate series representations of the universal covering group of SU(2,2). Zbl 0415.22012
Speh, Birgit
1979
Automorphic representations and Lefschetz numbers. Zbl 0689.22005
Rohlfs, Jürgen; Speh, Birgit
1989
Status of classification of irreducible unitary representations. Zbl 0496.22018
Knapp, A. W.; Speh, B.
1982
A reducibility criterion for generalized principal series. Zbl 0367.22015
Speh, Birgit; Vogan, David
1977
Intertwining operators and the restriction of representations of rank-one orthogonal groups. Zbl 1283.22005
Kobayashi, Toshiyuki; Speh, Birgit
2014
Discrete components of some complementary series representations. Zbl 1197.22008
Speh, B.; Venkataramana, T. N.
2010
Lefschetz numbers and twisted stabilized orbital integrals. Zbl 0808.11039
Rohlfs, J.; Speh, B.
1993
Repesentations with cohomology in the discrete spectrum of subgroups of SO(n,1)($${\mathbb{Z}})$$ and Lefschetz numbers. Zbl 0626.22010
Rohlfs, Jürgen; Speh, Birgit
1987
Symmetry breaking for representations of rank one orthogonal groups. II. Zbl 1421.81003
Kobayashi, Toshiyuki; Speh, Birgit
2018
Discrete components of some complementary series. Zbl 1282.11054
Speh, Birgit; Venkataramana, T. N.
2011
On cuspidal cohomology of arithmetic groups and cyclic base change. Zbl 0780.11030
Rohlfs, Jürgen; Speh, Birgit
1992
Branching laws for some unitary representations of $$\mathrm{SL}(4,\mathbb C)$$. Zbl 1135.22014
Ørsted, Bent; Speh, Birgit
2008
Degenerate series representations for GL(2n,$${\mathbb{R}})$$ and Fourier analysis. Zbl 0715.22009
Barbasch, Dan; Sahi, Siddhartha; Speh, Birgit
1989
A cohomological method for the determination of limit multiplicities. Zbl 0631.22011
Rohlfs, Jürgen; Speh, Birgit
1987
The role of basic cases in classification: Theorems about unitary representations applicable to SU(N,2). Zbl 0524.22013
Knapp, A. W.; Speh, B.
1983
Unitary representations of SL(n,R) and the cohomology of congruence subgroups. Zbl 0516.22008
Speh, Birgit
1981
Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups. Zbl 1341.22012
Speh, B.; Zhang, G.
2016
Pseudo Eisenstein forms and the cohomology of arithmetic groups. III: Residual cohomology classes. Zbl 1326.11025
Rohlfs, Jürgen; Speh, Birgit
2011
Construction of some generalised modular symbols. Zbl 1177.11041
Speh, B.; Venkataramana, T. N.
2005
Derived functors and intertwining operators for principal series representations of $$\mathrm{SL}_2(\mathbb R)$$. Zbl 1370.22012
Gomez, Raul; Speh, Birgit
2016
On the restriction of representations of $$SL(2, \mathbb C)$$ to $$SL(2, \mathbb R)$$. Zbl 1252.22001
Speh, B.; Venkataramana, T. N.
2012
Restriction of some representations of $$U(p,q)$$ to a symmetric subgroup. Zbl 1242.22021
Speh, Birgit
2011
Representation theory and the cohomology of arithmetic groups. Zbl 1130.11026
Speh, Birgit
2006
Analytic torsion and automorphic forms. Zbl 0845.57028
Speh, Birgit
1994
Lefschetz numbers and cyclic base change for purely imaginary extensions. Zbl 0787.11021
Rohlfs, Jürgen; Speh, Birgit
1992
Boundary contributions to Lefschetz numbers for arithmetic groups. I. Zbl 0853.22014
Rohlfs, Jürgen; Speh, Birgit
1990
Induced representations and the cohomology of discrete subgroups. Zbl 0505.22014
Speh, Birgit
1982
Symmetry breaking for representations of rank one orthogonal groups. II. Zbl 1421.81003
Kobayashi, Toshiyuki; Speh, Birgit
2018
Restriction to symmetric subgroups of unitary representations of rank one semisimple Lie groups. Zbl 1341.22012
Speh, B.; Zhang, G.
2016
Derived functors and intertwining operators for principal series representations of $$\mathrm{SL}_2(\mathbb R)$$. Zbl 1370.22012
Gomez, Raul; Speh, Birgit
2016
Symmetry breaking for representations of rank one orthogonal groups. Zbl 1334.22015
Kobayashi, Toshiyuki; Speh, Birgit
2015
Intertwining operators and the restriction of representations of rank-one orthogonal groups. Zbl 1283.22005
Kobayashi, Toshiyuki; Speh, Birgit
2014
On the restriction of representations of $$SL(2, \mathbb C)$$ to $$SL(2, \mathbb R)$$. Zbl 1252.22001
Speh, B.; Venkataramana, T. N.
2012
Discrete components of some complementary series. Zbl 1282.11054
Speh, Birgit; Venkataramana, T. N.
2011
Pseudo Eisenstein forms and the cohomology of arithmetic groups. III: Residual cohomology classes. Zbl 1326.11025
Rohlfs, Jürgen; Speh, Birgit
2011
Restriction of some representations of $$U(p,q)$$ to a symmetric subgroup. Zbl 1242.22021
Speh, Birgit
2011
Discrete components of some complementary series representations. Zbl 1197.22008
Speh, B.; Venkataramana, T. N.
2010
Branching laws for some unitary representations of $$\mathrm{SL}(4,\mathbb C)$$. Zbl 1135.22014
Ørsted, Bent; Speh, Birgit
2008
Representation theory and the cohomology of arithmetic groups. Zbl 1130.11026
Speh, Birgit
2006
Construction of some generalised modular symbols. Zbl 1177.11041
Speh, B.; Venkataramana, T. N.
2005
Absolute convergence of the spectral side of the Arthur trace formula for $$\text{GL}_n$$. Zbl 1083.11031
Müller, W.; Speh, B.; Lapid, E. M.
2004
Analytic torsion and automorphic forms. Zbl 0845.57028
Speh, Birgit
1994
Lefschetz numbers and twisted stabilized orbital integrals. Zbl 0808.11039
Rohlfs, J.; Speh, B.
1993
On cuspidal cohomology of arithmetic groups and cyclic base change. Zbl 0780.11030
Rohlfs, Jürgen; Speh, Birgit
1992
Lefschetz numbers and cyclic base change for purely imaginary extensions. Zbl 0787.11021
Rohlfs, Jürgen; Speh, Birgit
1992
Boundary contributions to Lefschetz numbers for arithmetic groups. I. Zbl 0853.22014
Rohlfs, Jürgen; Speh, Birgit
1990
Automorphic representations and Lefschetz numbers. Zbl 0689.22005
Rohlfs, Jürgen; Speh, Birgit
1989
Degenerate series representations for GL(2n,$${\mathbb{R}})$$ and Fourier analysis. Zbl 0715.22009
Barbasch, Dan; Sahi, Siddhartha; Speh, Birgit
1989
On limit multiplicities of representations with cohomology in the cuspidal spectrum. Zbl 0626.22008
Rohlfs, Jürgen; Speh, Birgit
1987
Repesentations with cohomology in the discrete spectrum of subgroups of SO(n,1)($${\mathbb{Z}})$$ and Lefschetz numbers. Zbl 0626.22010
Rohlfs, Jürgen; Speh, Birgit
1987
A cohomological method for the determination of limit multiplicities. Zbl 0631.22011
Rohlfs, Jürgen; Speh, Birgit
1987
Unitary representations of Gl(n,R) with non-trivial (g,K)-cohomology. Zbl 0505.22015
Speh, Birgit
1983
The role of basic cases in classification: Theorems about unitary representations applicable to SU(N,2). Zbl 0524.22013
Knapp, A. W.; Speh, B.
1983
Irreducible unitary representations of SU(2,2). Zbl 0543.22011
Knapp, A. W.; Speh, B.
1982
Status of classification of irreducible unitary representations. Zbl 0496.22018
Knapp, A. W.; Speh, B.
1982
Induced representations and the cohomology of discrete subgroups. Zbl 0505.22014
Speh, Birgit
1982
The unitary dual of $$Gl(3,R)$$ and $$Gl(4,R)$$. Zbl 0483.22005
Speh, Birgit
1981
Unitary representations of SL(n,R) and the cohomology of congruence subgroups. Zbl 0516.22008
Speh, Birgit
1981
Reducibility of generalized principal series representations. Zbl 0457.22011
Speh, Birgit; Vogan, David A. jun.
1980
Degenerate series representations of the universal covering group of SU(2,2). Zbl 0415.22012
Speh, Birgit
1979
A reducibility criterion for generalized principal series. Zbl 0367.22015
Speh, Birgit; Vogan, David
1977
all top 5

#### Cited by 216 Authors

 14 Speh, Birgit 11 Vogan, David Alexander jun. 10 Ørsted, Bent 9 Kobayashi, Toshiyuki 8 Dobrev, Vladimir K. 8 Rohlfs, Jürgen 7 Barbasch, Dan M. 7 Frahm, Jan 6 Zhang, Genkai 5 Collingwood, David H. 5 Deitmar, Anton 5 Li, Jian-Shu 5 Schwermer, Joachim 4 Baldoni-Silva, Maria Welleda 4 Clerc, Jean-Louis 4 Grobner, Harald 4 Kionke, Steffen 4 Lapid, Erez Moshe 4 Moeglin, Colette 4 Paul, Annegret 4 Sahi, Siddhartha 4 Schlichtkrull, Henrik 4 Shin, Sug Woo 3 Gourevitch, Dmitry 3 Grbac, Neven 3 Günaydin, Murat 3 Hanzer, Marcela 3 Knapp, Anthony William 3 Matumoto, Hisayosi 3 Muić, Goran 3 Müller, Werner 3 Pevzner, Michael 3 Salamanca-Riba, Susana A. 3 Sayag, Eitan 3 Shelstad, Diana 3 Sun, Binyong 3 Tadić, Marko 3 Templier, Nicolas 2 Andler, Martin 2 Ash, Avner 2 Bang-Jensen, Jesper 2 Bergeron, Nicolas 2 Blomer, Valentin 2 Boe, Brian Douglas 2 Bouaziz, Abderrazak 2 Brumley, Farrell 2 Clozel, Laurent 2 Delorme, Patrick 2 Finis, Tobias 2 Gan, Wee Teck 2 Gotsbacher, Gerald 2 Howe, Roger Evans 2 Huang, Jing-Song 2 Ichino, Atsushi 2 Januszewski, Fabian 2 Koufany, Khalid 2 Matz, Jasmin 2 Mezo, Paul 2 Müller, Werner G. 2 Ne’eman, Yuval 2 Paneitz, Stephen M. 2 Pavey, Mark 2 Raghuram, Anantharam 2 Renard, David A. 2 Savin, Gordan 2 Šijački, Djordje 2 Somberg, Petr 2 Su, Feng 2 Tan, Eng-Chye 2 Tauchi, Taito 2 Venkatesh, Akshay 2 Wilson, Raj 2 Wolf, Joseph Albert 2 Xiang, Zhengyu 2 Zhu, Chen-Bo 1 Al-Dweik, Ahmad Y. 1 Arancibia, Nicolás 1 Azad, Hassan 1 Bao, Yixin 1 Bars, Itzhak 1 Ben Saïd, Salem 1 Bhagwat, Chandrasheel 1 Blasius, Don 1 Borel, Armand 1 Branson, Thomas Patrick 1 Brega, Alfredo O. 1 Bushnell, Colin J. 1 Calegari, Frank 1 Cant, A. 1 Casian, Luis G. 1 Casselman, William A. 1 Chang, Jen-Tseh 1 Ciubotaru, Dan 1 Clare, Pierre 1 Dickson, Martin J. 1 Dong, Chao-Ping 1 Elstrodt, Jürgen 1 Emerton, Matthew 1 Enright, Thomas J. 1 Fermigier, Stéfane ...and 116 more Authors
all top 5

#### Cited in 64 Serials

 25 Journal of Functional Analysis 16 Compositio Mathematica 16 Inventiones Mathematicae 14 Mathematische Annalen 13 Duke Mathematical Journal 12 Journal of Mathematical Physics 10 Advances in Mathematics 10 Transactions of the American Mathematical Society 6 Annals of Mathematics. Second Series 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Mathematische Zeitschrift 5 Bulletin of the American Mathematical Society. New Series 5 Transformation Groups 4 Journal of Algebra 4 Manuscripta Mathematica 4 Memoirs of the American Mathematical Society 4 International Journal of Mathematics 4 Selecta Mathematica. New Series 4 Representation Theory 4 Journal of the Institute of Mathematics of Jussieu 3 Communications in Mathematical Physics 3 Israel Journal of Mathematics 3 Acta Mathematica 3 Proceedings of the Japan Academy. Series A 3 Forum Mathematicum 3 Geometric and Functional Analysis. GAFA 2 Letters in Mathematical Physics 2 Rocky Mountain Journal of Mathematics 2 Annales de l’Institut Fourier 2 Journal of Number Theory 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Journal of the American Mathematical Society 2 Differential Geometry and its Applications 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Number Theory 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal d’Analyse Mathématique 1 Physics Letters. B 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Proceedings of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 The Journal of Geometric Analysis 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of Lie Theory 1 Journal of High Energy Physics 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Forum of Mathematics, Sigma 1 Annales Mathématiques du Québec 1 Journal de l’École Polytechnique – Mathématiques 1 Tunisian Journal of Mathematics
all top 5

#### Cited in 26 Fields

 187 Topological groups, Lie groups (22-XX) 85 Number theory (11-XX) 27 Group theory and generalizations (20-XX) 26 Differential geometry (53-XX) 24 Nonassociative rings and algebras (17-XX) 22 Abstract harmonic analysis (43-XX) 17 Quantum theory (81-XX) 13 Algebraic geometry (14-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Manifolds and cell complexes (57-XX) 6 Special functions (33-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Operator theory (47-XX) 5 Algebraic topology (55-XX) 3 Associative rings and algebras (16-XX) 3 Partial differential equations (35-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.