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## Rallis, Stephen James

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 Author ID: rallis.stephen-j Published as: Rallis, S.; Rallis, Stephen; Rallis, Stephen J.; Rallis, Steve; Rallis, Steven External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
 Documents Indexed: 95 Publications since 1969, including 5 Books Biographic References: 3 Publications
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#### Co-Authors

 9 single-authored 26 Ginzburg, David 20 Soudry, David 13 Schiffmann, Gérard 10 Mao, Zhengyu 9 Jiang, Dihua 9 Piatetski-Shapiro, Ilya 8 Kudla, Stephen S. 6 Jacquet, Hervé Michel 5 Lapid, Erez Moshe 4 Baruch, Ehud Moshe 4 Kostant, Bertram 1 Aizenbud, Avraham 1 Ash, Avner 1 Gelbart, Stephen S. 1 Gourevitch, Dmitry 1 Heumos, Michael J. 1 Lai, King Fai 1 Rader, Cary
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#### Serials

 7 American Journal of Mathematics 7 Compositio Mathematica 6 Journal für die Reine und Angewandte Mathematik 5 Israel Journal of Mathematics 5 Duke Mathematical Journal 5 Pacific Journal of Mathematics 4 IMRN. International Mathematics Research Notices 4 Annals of Mathematics. Second Series 4 Bulletin of the American Mathematical Society 3 Manuscripta Mathematica 2 Journal of Mathematics of Kyoto University 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Representation Theory 2 Lecture Notes in Mathematics 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Bulletin of the Iranian Mathematical Society 1 Forum Mathematicum 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A
all top 5

#### Fields

 80 Number theory (11-XX) 69 Topological groups, Lie groups (22-XX) 6 Abstract harmonic analysis (43-XX) 4 Group theory and generalizations (20-XX) 4 Differential geometry (53-XX) 2 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Functional analysis (46-XX)

#### Citations contained in zbMATH Open

89 Publications have been cited 1,606 times in 796 Documents Cited by Year
Orbits and representations associated with symmetric spaces. Zbl 0224.22013
Kostant, Bertram; Rallis, S.
1971
Explicit constructions of automorphic $$L$$-functions. Zbl 0612.10022
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.; Rallis, Stephen
1987
A regularized Siegel-Weil formula: The first term identity. Zbl 0818.11024
Kudla, Stephen S.; Rallis, Stephen
1994
On the Howe duality conjecture. Zbl 0624.22011
Rallis, S.
1984
Rankin triple $$L$$-functions. Zbl 0637.10023
Piatetski-Shapiro, Ilya I.; Rallis, Stephen
1987
Multiplicity one theorems. Zbl 1202.22012
Aizenbud, Avraham; Gourevitch, Dmitry; Rallis, Stephen; Schiffmann, Gérard
2010
The descent map from automorphic representations of $$\text{GL}(n)$$ to classical groups. Zbl 1233.11056
Ginzburg, David; Rallis, Stephen; Soudry, David
2011
On the local factors of representations of classical groups. Zbl 1188.11023
Lapid, Erez M.; Rallis, Stephen
2005
Langlands’ functoriality and the Weil representation. Zbl 0532.22016
Rallis, Stephen
1982
Uniqueness of linear periods. Zbl 0855.22018
Jacquet, Hervé; Rallis, Stephen
1996
On the Weil-Siegel formula. Zbl 0644.10021
Kudla, Stephen S.; Rallis, Stephen
1988
Ramified degenerate principal series representations for $$Sp(n)$$. Zbl 0787.22019
Kudla, Stephen S.; Rallis, Stephen
1992
On the automorphic theta representation for simply laced groups. Zbl 0881.11050
Ginzburg, David; Rallis, Stephen; Soudry, David
1997
On the degree 5 $$L$$-function for $$Sp(2)$$. Zbl 0776.11028
Kudla, Stephen S.; Rallis, Stephen; Soudry, David
1992
Degenerate principal series and invariant distributions. Zbl 0708.22005
Kudla, Stephen S.; Rallis, Stephen
1990
Symplectic-Whittaker models for $$Gl_ n$$. Zbl 0752.22012
Heumos, Michael J.; Rallis, Stephen
1990
On Fourier coefficients of automorphic forms of symplectic groups. Zbl 1027.11034
Ginzburg, D.; Rallis, S.; Soudry, D.
2003
On explicit lifts of cusp forms from $$\text{GL}_m$$ to classical groups. Zbl 0949.22019
Ginzburg, David; Rallis, Stephen; Soudry, David
1999
$$L$$-functions and the oscillator representation. Zbl 0605.10016
Rallis, Stephen
1987
Generic automorphic forms on $$\text{SO}(2n+1)$$: functorial lift to $$\text{GL}(2,n)$$, endoscopy, and base change. Zbl 1060.11031
Ginzburg, David; Rallis, Stephen; Soudry, David
2001
On a correspondence between cuspidal representations of $$\operatorname{GL}_{2n}$$ and $$\widetilde{\operatorname{Sp}}_{2n}$$. Zbl 0928.11027
Ginzburg, David; Rallis, Stephen; Soudry, David
1999
$$L$$ functions for the orthogonal group. Zbl 0884.11022
Ginzburg, D.; Piatetski-Shapiro, Ilya I.; Rallis, S.
1997
On first occurrence in the local theta correspondence. Zbl 1109.22012
Kudla, Stephen S.; Rallis, Stephen
2005
On the Weil-Siegel formula. II: The isotropic convergent case. Zbl 0644.10022
Kudla, Stephen S.; Rallis, Stephen
1988
$$\varepsilon$$ factor of representations of classical groups. Zbl 0599.12012
Piatetski-Shapiro, Ilya I.; Rallis, Stephen
1986
A new way to get Euler products. Zbl 0651.10021
Piatetski-Shapiro, Ilya I.; Rallis, S.
1988
On the Gross-Prasad conjecture for unitary groups. Zbl 1222.22018
Jacquet, Hervé; Rallis, Stephen
2011
On the nonvanishing of the central value of the Rankin-Selberg $$L$$-functions. Zbl 1057.11029
Ginzburg, David; Jiang, Dihua; Rallis, Stephen
2004
Spherical characters on $${\mathfrak p}$$-adic symmetric spaces. Zbl 0861.22011
Rader, Cary; Rallis, Steve
1996
Poles of Eisenstein series and L-functions. Zbl 0712.11029
Kudla, Stephen S.; Rallis, Stephen
1990
Distributions invariantes par le groupe orthogonal. Zbl 0329.10016
Rallis, S.; Schiffmann, G.
1975
$$L$$-functions for symplectic groups. Zbl 0928.11026
Ginzburg, David; Rallis, Stephen; Soudry, David
1998
Symplectic periods. Zbl 0734.11035
Jacquet, Hervé; Rallis, Stephen
1991
Vanishing periods of cusp forms over modular symbols. Zbl 0786.11028
Ash, Avner; Ginzburg, David; Rallis, Steven
1993
Injectivity properties of liftings associated to Weil representations. Zbl 0624.22012
Rallis, S.
1984
Periods, poles of $$L$$-functions and symplectic-orthogonal theta lifts. Zbl 0928.11025
Ginzburg, David; Rallis, Stephen; Soudry, David
1997
On the nonvanishing of the central value of the Rankin-Selberg $$L$$-functions. II. Zbl 1115.11027
Ginzburg, David; Jiang, Dihua; Rallis, Stephen
2005
Kloosterman integrals for skew symmetric matrices. Zbl 0778.11032
Jacquet, Hervé; Rallis, Stephen
1992
Weil representation. I: Intertwining distributions and discrete spectrum. Zbl 0442.22006
Rallis, Stephen; Schiffmann, Gerard
1980
$$L$$-functions for symplectic groups using Fourier-Jacobi models. Zbl 1325.11042
Ginzburg, David; Jiang, Dihua; Rallis, Stephen; Soudry, David
2011
The exterior cube $$L$$-function for GL(6). Zbl 0989.11024
Ginzburg, David; Rallis, Stephen
2000
A trace formula for symmetric spaces. Zbl 0795.22008
Jacquet, Hervé; Lai, King F.; Rallis, Stephen
1993
On the nonnegativity of $$L(\frac12,\pi)$$ for $$\text{SO}_{2n+1}$$. Zbl 1067.11026
Lapid, Erez; Rallis, Stephen
2003
Theta correspondence associated to $$G_ 2$$. Zbl 0723.11026
Rallis, S.; Schiffmann, G.
1989
Représentations supercuspidales du groupe metaplectique. Zbl 0398.22023
Rallis, S.; Schiffmann, G.
1977
Discrete spectrum of the Weil representation. Zbl 0397.22009
Rallis, S.; Schiffmann, G.
1977
Models for certain residual representations of unitary groups. Zbl 1195.11069
Ginzburg, David; Jiang, Dihua; Rallis, Stephen
2009
A tower of theta correspondences for $$G_ 2$$. Zbl 0881.11051
Ginzburg, David; Rallis, Stephen; Soudry, David
1997
Cubic correspondences arising from $$G_ 2$$. Zbl 0877.11031
Ginzburg, David; Rallis, Stephen; Soudry, David
1997
$$L$$-functions of automorphic forms on simple classical groups. Zbl 0566.10022
Piatetski-Shapiro, Ilya I.; Rallis, Stephen
1984
On a relation between $$SL_ 2$$ cusp forms and cusp forms on tube domains associated to orthogonal groups. Zbl 0465.10024
Rallis, S.; Schiffmann, G.
1981
Automorphic forms constructed from the Weil representation: Holomorphic case. Zbl 0402.10029
Rallis, S.; Schiffmann, G.
1978
Endoscopic representations of $$\widetilde{\text{Sp}}_{2n}$$. Zbl 1052.11032
Ginzburg, David; Rallis, Stephen; Soudry, David
2002
Lifting cusp forms on $$\text{GL}_{2n}$$ to $$\widetilde{\text{Sp}}_{2n}$$: The unramified correspondence. Zbl 0991.11024
Ginzburg, David; Rallis, Stephen; Soudry, David
1999
Self-dual automorphic $$GL_ n$$ modules and construction of a backward lifting from $$GL_ n$$ to classical groups. Zbl 0887.11022
Ginzburg, David; Rallis, Stephen; Soudry, David
1997
Construction of CAP representations for symplectic groups using the descent method. Zbl 1104.11024
Ginzburg, David; Rallis, Stephen; Soudry, David
2005
Stability of the local gamma factor arising from the doubling method. Zbl 1076.22014
Rallis, Stephen; Soudry, David
2005
On representations associated with symmetric spaces. Zbl 0223.53050
Kostant, Bertram; Rallis, Stephen
1969
On orbits associated with symmetric spaces. Zbl 0223.53049
Kostant, Bertram; Rallis, Stephen
1969
Nonvanishing of the central critical value of the third symmetric power $$L$$-functions. Zbl 1034.11033
Ginzburg, David; Jiang, Dihua; Rallis, Stephen
2001
Poles of standard $$L$$ functions. Zbl 0744.11028
Rallis, Stephen
1991
Fourier coefficients of Eisenstein series of the exceptional group of type $$G_2$$. Zbl 0893.11018
Jiang, Dihua; Rallis, Stephen
1997
The orbit and $$\theta$$ correspondence for some dual pairs. Zbl 0848.22023
Rallis, S.; Schiffmann, G.
1995
A tower of Rankin-Selberg integrals. Zbl 0821.11034
Ginzburg, D.; Rallis, S.
1994
On a relation between $$\widetilde {SL}_2$$ cusp forms and automorphic forms on orthogonal groups. Zbl 0425.10034
Rallis, S.
1979
A Plancherel formula for $$\mathrm{Sp}_{2 n}/\mathrm{Sp}_n\times\mathrm{Sp}_n$$ and its application. Zbl 1204.43008
Mao, Zhengyu; Rallis, Stephen
2009
A spectral identity for skew symmetric matrices. Zbl 1082.11029
Jacquet, Hervé; Lapid, Erez; Rallis, Stephen
2004
Jacquet modules of the Weil representations and families of relative trace identities. Zbl 1060.11035
Mao, Zhengyu; Rallis, Stephen
2004
A uniqueness theorem of Fourier Jacobi models for representations of $$\text{Sp}(4)$$. Zbl 0953.22019
Baruch, Ehud Moshe; Rallis, Steve
2000
The Eichler commutation relation and the continuous spectrum of the Weil representation. Zbl 0482.10032
Rallis, Stephen
1979
Rankin-Selberg integrals for the group $$G_ 2$$. Zbl 0777.11017
Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G.
1992
Automorphic cusp forms constructed from the Weil representation. Zbl 0397.10022
Rallis, S.; Schiffmann, G.
1977
A relative trace identity between $$\text{GL}_{2n}$$ and $$\widetilde{\text{Sp}}_n$$. Zbl 1259.11054
Mao, Zhengyu; Rallis, Stephen
2010
On the uniqueness of Fourier Jacobi models for representations of $$U(n,1)$$. Zbl 1140.22013
Baruch, Ehud Moshe; Rallis, Stephen
2007
Global method in relative trace identities. Zbl 1156.11319
Mao, Zhengyu; Rallis, Stephen
2005
Howe duality and the trace formula. Zbl 1008.22008
Mao, Zhengyu; Rallis, Stephen
1999
On a cubic lifting. Zbl 0954.11017
Mao, Zhengyu; Rallis, Stephen
1999
A relative Kuznietsov trace formula on $$G_2$$. Zbl 0941.11021
Jiang, Dihua; Mao, Zhengyu; Rallis, Stephen
1999
A trace formula for dual pairs. Zbl 0923.11082
Mao, Zhengyu; Rallis, Stephen
1997
A new construction of the inverse Shimura correspondence. Zbl 0881.11048
Ginzburg, D.; Rallis, S.; Soudry, D.
1997
L functions for the group $$G_ 2$$. Zbl 0734.11034
Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G.
1990
New and old results in invariant theory with applications to arithmetic groups. Zbl 0237.20042
Rallis, Stephen J.
1972
Complement to the appendix of: “On the Howe duality conjecture”. Zbl 1268.22019
Rallis, Steve
2013
Periods of residual representations of SO$$(2l)$$. Zbl 1050.22023
Ginzburg, David; Jiang, Dihua; Rallis, Stephen
2004
On the uniqueness of Fourier Jacobi models for representations of $$U(2,1)$$. Zbl 1036.22006
Baruch, Ehud Moshe; Piatetski-Shapiro, Ilya; Rallis, Stephen
2003
Positivity of $$L(\frac 1 2,\pi)$$ for symplectic representations. Zbl 0995.22006
Lapid, Erez; Rallis, Stephen
2002
The induced Weil representation and the Shalika period. Zbl 1012.22033
Mao, Zhengyu; Rallis, Stephen
1999
Analytic continuation of archimedean Whittaker integrals. Zbl 0687.10023
Rallis, Stephen; Soudry, David
1989
Representations and orbits associated with symmetric spaces. Zbl 0249.53044
Kostant, Bertram; Rallis, Stephen
1970
Complement to the appendix of: “On the Howe duality conjecture”. Zbl 1268.22019
Rallis, Steve
2013
The descent map from automorphic representations of $$\text{GL}(n)$$ to classical groups. Zbl 1233.11056
Ginzburg, David; Rallis, Stephen; Soudry, David
2011
On the Gross-Prasad conjecture for unitary groups. Zbl 1222.22018
Jacquet, Hervé; Rallis, Stephen
2011
$$L$$-functions for symplectic groups using Fourier-Jacobi models. Zbl 1325.11042
Ginzburg, David; Jiang, Dihua; Rallis, Stephen; Soudry, David
2011
Multiplicity one theorems. Zbl 1202.22012
Aizenbud, Avraham; Gourevitch, Dmitry; Rallis, Stephen; Schiffmann, Gérard
2010
A relative trace identity between $$\text{GL}_{2n}$$ and $$\widetilde{\text{Sp}}_n$$. Zbl 1259.11054
Mao, Zhengyu; Rallis, Stephen
2010
Models for certain residual representations of unitary groups. Zbl 1195.11069
Ginzburg, David; Jiang, Dihua; Rallis, Stephen
2009
A Plancherel formula for $$\mathrm{Sp}_{2 n}/\mathrm{Sp}_n\times\mathrm{Sp}_n$$ and its application. Zbl 1204.43008
Mao, Zhengyu; Rallis, Stephen
2009
On the uniqueness of Fourier Jacobi models for representations of $$U(n,1)$$. Zbl 1140.22013
Baruch, Ehud Moshe; Rallis, Stephen
2007
On the local factors of representations of classical groups. Zbl 1188.11023
Lapid, Erez M.; Rallis, Stephen
2005
On first occurrence in the local theta correspondence. Zbl 1109.22012
Kudla, Stephen S.; Rallis, Stephen
2005
On the nonvanishing of the central value of the Rankin-Selberg $$L$$-functions. II. Zbl 1115.11027
Ginzburg, David; Jiang, Dihua; Rallis, Stephen
2005
Construction of CAP representations for symplectic groups using the descent method. Zbl 1104.11024
Ginzburg, David; Rallis, Stephen; Soudry, David
2005
Stability of the local gamma factor arising from the doubling method. Zbl 1076.22014
Rallis, Stephen; Soudry, David
2005
Global method in relative trace identities. Zbl 1156.11319
Mao, Zhengyu; Rallis, Stephen
2005
On the nonvanishing of the central value of the Rankin-Selberg $$L$$-functions. Zbl 1057.11029
Ginzburg, David; Jiang, Dihua; Rallis, Stephen
2004
A spectral identity for skew symmetric matrices. Zbl 1082.11029
Jacquet, Hervé; Lapid, Erez; Rallis, Stephen
2004
Jacquet modules of the Weil representations and families of relative trace identities. Zbl 1060.11035
Mao, Zhengyu; Rallis, Stephen
2004
Periods of residual representations of SO$$(2l)$$. Zbl 1050.22023
Ginzburg, David; Jiang, Dihua; Rallis, Stephen
2004
On Fourier coefficients of automorphic forms of symplectic groups. Zbl 1027.11034
Ginzburg, D.; Rallis, S.; Soudry, D.
2003
On the nonnegativity of $$L(\frac12,\pi)$$ for $$\text{SO}_{2n+1}$$. Zbl 1067.11026
Lapid, Erez; Rallis, Stephen
2003
On the uniqueness of Fourier Jacobi models for representations of $$U(2,1)$$. Zbl 1036.22006
Baruch, Ehud Moshe; Piatetski-Shapiro, Ilya; Rallis, Stephen
2003
Endoscopic representations of $$\widetilde{\text{Sp}}_{2n}$$. Zbl 1052.11032
Ginzburg, David; Rallis, Stephen; Soudry, David
2002
Positivity of $$L(\frac 1 2,\pi)$$ for symplectic representations. Zbl 0995.22006
Lapid, Erez; Rallis, Stephen
2002
Generic automorphic forms on $$\text{SO}(2n+1)$$: functorial lift to $$\text{GL}(2,n)$$, endoscopy, and base change. Zbl 1060.11031
Ginzburg, David; Rallis, Stephen; Soudry, David
2001
Nonvanishing of the central critical value of the third symmetric power $$L$$-functions. Zbl 1034.11033
Ginzburg, David; Jiang, Dihua; Rallis, Stephen
2001
The exterior cube $$L$$-function for GL(6). Zbl 0989.11024
Ginzburg, David; Rallis, Stephen
2000
A uniqueness theorem of Fourier Jacobi models for representations of $$\text{Sp}(4)$$. Zbl 0953.22019
Baruch, Ehud Moshe; Rallis, Steve
2000
On explicit lifts of cusp forms from $$\text{GL}_m$$ to classical groups. Zbl 0949.22019
Ginzburg, David; Rallis, Stephen; Soudry, David
1999
On a correspondence between cuspidal representations of $$\operatorname{GL}_{2n}$$ and $$\widetilde{\operatorname{Sp}}_{2n}$$. Zbl 0928.11027
Ginzburg, David; Rallis, Stephen; Soudry, David
1999
Lifting cusp forms on $$\text{GL}_{2n}$$ to $$\widetilde{\text{Sp}}_{2n}$$: The unramified correspondence. Zbl 0991.11024
Ginzburg, David; Rallis, Stephen; Soudry, David
1999
Howe duality and the trace formula. Zbl 1008.22008
Mao, Zhengyu; Rallis, Stephen
1999
On a cubic lifting. Zbl 0954.11017
Mao, Zhengyu; Rallis, Stephen
1999
A relative Kuznietsov trace formula on $$G_2$$. Zbl 0941.11021
Jiang, Dihua; Mao, Zhengyu; Rallis, Stephen
1999
The induced Weil representation and the Shalika period. Zbl 1012.22033
Mao, Zhengyu; Rallis, Stephen
1999
$$L$$-functions for symplectic groups. Zbl 0928.11026
Ginzburg, David; Rallis, Stephen; Soudry, David
1998
On the automorphic theta representation for simply laced groups. Zbl 0881.11050
Ginzburg, David; Rallis, Stephen; Soudry, David
1997
$$L$$ functions for the orthogonal group. Zbl 0884.11022
Ginzburg, D.; Piatetski-Shapiro, Ilya I.; Rallis, S.
1997
Periods, poles of $$L$$-functions and symplectic-orthogonal theta lifts. Zbl 0928.11025
Ginzburg, David; Rallis, Stephen; Soudry, David
1997
A tower of theta correspondences for $$G_ 2$$. Zbl 0881.11051
Ginzburg, David; Rallis, Stephen; Soudry, David
1997
Cubic correspondences arising from $$G_ 2$$. Zbl 0877.11031
Ginzburg, David; Rallis, Stephen; Soudry, David
1997
Self-dual automorphic $$GL_ n$$ modules and construction of a backward lifting from $$GL_ n$$ to classical groups. Zbl 0887.11022
Ginzburg, David; Rallis, Stephen; Soudry, David
1997
Fourier coefficients of Eisenstein series of the exceptional group of type $$G_2$$. Zbl 0893.11018
Jiang, Dihua; Rallis, Stephen
1997
A trace formula for dual pairs. Zbl 0923.11082
Mao, Zhengyu; Rallis, Stephen
1997
A new construction of the inverse Shimura correspondence. Zbl 0881.11048
Ginzburg, D.; Rallis, S.; Soudry, D.
1997
Uniqueness of linear periods. Zbl 0855.22018
Jacquet, Hervé; Rallis, Stephen
1996
Spherical characters on $${\mathfrak p}$$-adic symmetric spaces. Zbl 0861.22011
Rader, Cary; Rallis, Steve
1996
The orbit and $$\theta$$ correspondence for some dual pairs. Zbl 0848.22023
Rallis, S.; Schiffmann, G.
1995
A regularized Siegel-Weil formula: The first term identity. Zbl 0818.11024
Kudla, Stephen S.; Rallis, Stephen
1994
A tower of Rankin-Selberg integrals. Zbl 0821.11034
Ginzburg, D.; Rallis, S.
1994
Vanishing periods of cusp forms over modular symbols. Zbl 0786.11028
Ash, Avner; Ginzburg, David; Rallis, Steven
1993
A trace formula for symmetric spaces. Zbl 0795.22008
Jacquet, Hervé; Lai, King F.; Rallis, Stephen
1993
Ramified degenerate principal series representations for $$Sp(n)$$. Zbl 0787.22019
Kudla, Stephen S.; Rallis, Stephen
1992
On the degree 5 $$L$$-function for $$Sp(2)$$. Zbl 0776.11028
Kudla, Stephen S.; Rallis, Stephen; Soudry, David
1992
Kloosterman integrals for skew symmetric matrices. Zbl 0778.11032
Jacquet, Hervé; Rallis, Stephen
1992
Rankin-Selberg integrals for the group $$G_ 2$$. Zbl 0777.11017
Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G.
1992
Symplectic periods. Zbl 0734.11035
Jacquet, Hervé; Rallis, Stephen
1991
Poles of standard $$L$$ functions. Zbl 0744.11028
Rallis, Stephen
1991
Degenerate principal series and invariant distributions. Zbl 0708.22005
Kudla, Stephen S.; Rallis, Stephen
1990
Symplectic-Whittaker models for $$Gl_ n$$. Zbl 0752.22012
Heumos, Michael J.; Rallis, Stephen
1990
Poles of Eisenstein series and L-functions. Zbl 0712.11029
Kudla, Stephen S.; Rallis, Stephen
1990
L functions for the group $$G_ 2$$. Zbl 0734.11034
Piatetski-Shapiro, Ilya I.; Rallis, S.; Schiffmann, G.
1990
Theta correspondence associated to $$G_ 2$$. Zbl 0723.11026
Rallis, S.; Schiffmann, G.
1989
Analytic continuation of archimedean Whittaker integrals. Zbl 0687.10023
Rallis, Stephen; Soudry, David
1989
On the Weil-Siegel formula. Zbl 0644.10021
Kudla, Stephen S.; Rallis, Stephen
1988
On the Weil-Siegel formula. II: The isotropic convergent case. Zbl 0644.10022
Kudla, Stephen S.; Rallis, Stephen
1988
A new way to get Euler products. Zbl 0651.10021
Piatetski-Shapiro, Ilya I.; Rallis, S.
1988
Explicit constructions of automorphic $$L$$-functions. Zbl 0612.10022
Gelbart, Stephen; Piatetski-Shapiro, Ilya I.; Rallis, Stephen
1987
Rankin triple $$L$$-functions. Zbl 0637.10023
Piatetski-Shapiro, Ilya I.; Rallis, Stephen
1987
$$L$$-functions and the oscillator representation. Zbl 0605.10016
Rallis, Stephen
1987
$$\varepsilon$$ factor of representations of classical groups. Zbl 0599.12012
Piatetski-Shapiro, Ilya I.; Rallis, Stephen
1986
On the Howe duality conjecture. Zbl 0624.22011
Rallis, S.
1984
Injectivity properties of liftings associated to Weil representations. Zbl 0624.22012
Rallis, S.
1984
$$L$$-functions of automorphic forms on simple classical groups. Zbl 0566.10022
Piatetski-Shapiro, Ilya I.; Rallis, Stephen
1984
Langlands’ functoriality and the Weil representation. Zbl 0532.22016
Rallis, Stephen
1982
On a relation between $$SL_ 2$$ cusp forms and cusp forms on tube domains associated to orthogonal groups. Zbl 0465.10024
Rallis, S.; Schiffmann, G.
1981
Weil representation. I: Intertwining distributions and discrete spectrum. Zbl 0442.22006
Rallis, Stephen; Schiffmann, Gerard
1980
On a relation between $$\widetilde {SL}_2$$ cusp forms and automorphic forms on orthogonal groups. Zbl 0425.10034
Rallis, S.
1979
The Eichler commutation relation and the continuous spectrum of the Weil representation. Zbl 0482.10032
Rallis, Stephen
1979
Automorphic forms constructed from the Weil representation: Holomorphic case. Zbl 0402.10029
Rallis, S.; Schiffmann, G.
1978
Représentations supercuspidales du groupe metaplectique. Zbl 0398.22023
Rallis, S.; Schiffmann, G.
1977
Discrete spectrum of the Weil representation. Zbl 0397.22009
Rallis, S.; Schiffmann, G.
1977
Automorphic cusp forms constructed from the Weil representation. Zbl 0397.10022
Rallis, S.; Schiffmann, G.
1977
Distributions invariantes par le groupe orthogonal. Zbl 0329.10016
Rallis, S.; Schiffmann, G.
1975
New and old results in invariant theory with applications to arithmetic groups. Zbl 0237.20042
Rallis, Stephen J.
1972
Orbits and representations associated with symmetric spaces. Zbl 0224.22013
Kostant, Bertram; Rallis, S.
1971
Representations and orbits associated with symmetric spaces. Zbl 0249.53044
Kostant, Bertram; Rallis, Stephen
1970
On representations associated with symmetric spaces. Zbl 0223.53050
Kostant, Bertram; Rallis, Stephen
1969
On orbits associated with symmetric spaces. Zbl 0223.53049
Kostant, Bertram; Rallis, Stephen
1969
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#### Cited by 518 Authors

 39 Ginzburg, David 32 Rallis, Stephen James 25 Jiang, Dihua 24 Gan, Wee Teck 21 Soudry, David 14 Li, Jian-Shu 14 Offen, Omer 12 Kudla, Stephen S. 12 Prasad, Dipendra 12 Sayag, Eitan 12 Yamana, Shunsuke 12 Zhu, Chen-Bo 11 Kaplan, Eyal 11 Panyushev, Dmitri Ivanovich 11 Savin, Gordan 10 Ichino, Atsushi 10 Lapid, Erez Moshe 10 Liu, Baiying 9 Friedberg, Solomon 9 Kostant, Bertram 9 Takeda, Shuichiro 9 Zhang, Wei 8 Aizenbud, Avraham 8 Gourevitch, Dmitry 8 Mao, Zhengyu 8 Murase, Atsushi 8 Shahidi, Freydoon 8 Sun, Binyong 7 Atobe, Hiraku 7 Bump, Daniel 7 Gross, Benedict Hyman 7 Hanzer, Marcela 7 Hundley, Joseph 7 Moeglin, Colette 7 Muić, Goran 7 Piatetski-Shapiro, Ilya 6 Gelbart, Stephen S. 6 Harris, Michael Howard 6 Howe, Roger Evans 6 Ikeda, Tamotsu 6 Jacquet, Hervé Michel 6 Miller, Stephen D. 6 Pitale, Ameya 6 Sahi, Siddhartha 6 Wan, Chen 6 Xue, Hang 6 Zhang, Lei 5 Cai, Yuanqing 5 Flicker, Yuval Z. 5 Furusawa, Masaaki 5 Gurevich, Nadya 5 Helminck, Aloysius G. 5 Lee, Soo Teck 5 Noël, Alfred G. 5 Rogawski, Jonathan D. 5 Schiffmann, Gérard 5 Shimura, Goro 5 van Dijk, Gerrit 5 Xiong, Wei 5 Yakimova, Oksana S. 4 Baruch, Ehud Moshe 4 Bouganis, Thanasis 4 Chen, Shih-Yu 4 Kim, Henry H. 4 Levy, Paul D. 4 Liu, Yifeng 4 Martin, Kimball 4 Millson, John J. 4 Morimoto, Kazuki 4 Nien, Chufeng 4 Nishiyama, Kyo 4 Ohta, Takuya 4 Panchishkin, Alexei A. 4 Qin, Yujun 4 Rapoport, Michael 4 Schmidt, Ralf 4 Schwarz, Gerald Walter 4 Segal, Avner 4 Sugano, Takashi 4 Ürtiş, Çetin 4 Vogan, David Alexander jun. 4 Watanabe, Takao 4 Wu, Chenyan 4 Yang, Tonghai 4 Ye, Yangbo 4 Zhang, Chong 4 Zorn, Christian A. 4 Zydor, Michał 3 Adams, Jeffrey David 3 Asgari, Mahdi 3 Blomer, Valentin 3 Böcherer, Siegfried 3 Božičević, Mladen 3 Bruinier, Jan Hendrik 3 Bulois, Michaël 3 Cheng, Yao 3 Delorme, Patrick 3 Farang-Hariri, Banafsheh 3 García-Prada, Oscar 3 Heim, Bernhard Ernst ...and 418 more Authors
all top 5

#### Cited in 96 Serials

 64 Journal of Number Theory 55 Duke Mathematical Journal 51 Israel Journal of Mathematics 48 Transactions of the American Mathematical Society 45 Compositio Mathematica 45 Inventiones Mathematicae 31 Journal of Algebra 26 Representation Theory 24 Advances in Mathematics 24 Mathematische Zeitschrift 21 Manuscripta Mathematica 21 Mathematische Annalen 20 Journal of Functional Analysis 17 Journal für die Reine und Angewandte Mathematik 14 Journal of the American Mathematical Society 13 Bulletin of the American Mathematical Society. New Series 13 Journal of the Institute of Mathematics of Jussieu 12 Tohoku Mathematical Journal. Second Series 12 Transformation Groups 11 Annales de l’Institut Fourier 10 International Journal of Number Theory 10 Science China. Mathematics 9 Forum Mathematicum 9 The Ramanujan Journal 9 Annals of Mathematics. Second Series 7 Memoirs of the American Mathematical Society 6 Proceedings of the Japan Academy. Series A 6 Geometric and Functional Analysis. GAFA 6 Research in Number Theory 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Bulletin de la Société Mathématique de France 5 Pacific Journal of Mathematics 5 Proceedings of the American Mathematical Society 5 International Journal of Mathematics 5 Bulletin of the American Mathematical Society 4 Canadian Journal of Mathematics 4 Journal of Soviet Mathematics 4 Nagoya Mathematical Journal 4 Documenta Mathematica 4 Journal of High Energy Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Annales Mathématiques du Québec 3 Rocky Mountain Journal of Mathematics 3 Acta Mathematica 3 Publications Mathématiques 3 Journal of the Mathematical Society of Japan 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of Mathematical Sciences (New York) 3 Bulletin des Sciences Mathématiques 3 Journal of the European Mathematical Society (JEMS) 3 Kyoto Journal of Mathematics 2 Communications in Algebra 2 Journal of Mathematical Analysis and Applications 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Mathematica Vietnamica 2 Functional Analysis and its Applications 2 Geometriae Dedicata 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Pure and Applied Algebra 2 Michigan Mathematical Journal 2 Osaka Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Chinese Annals of Mathematics. Series B 2 Journal of Symbolic Computation 2 Linear Algebra and its Applications 2 Indagationes Mathematicae. New Series 2 Selecta Mathematica. New Series 2 Electronic Research Announcements of the American Mathematical Society 2 Oberwolfach Reports 2 Algebra & Number Theory 2 Research in the Mathematical Sciences 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Geometry and Physics 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Proceedings of the London Mathematical Society. Third Series 1 Tokyo Journal of Mathematics 1 Acta Applicandae Mathematicae 1 Publicacions Matemàtiques 1 Science in China. Series A 1 The Journal of Geometric Analysis 1 Glasnik Matematički. Serija III 1 Journal of Algebraic Combinatorics 1 Russian Journal of Mathematical Physics 1 Finite Fields and their Applications 1 Journal of Lie Theory 1 Algebras and Representation Theory 1 Acta Mathematica Sinica. English Series 1 Proceedings of the Steklov Institute of Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 $$p$$-Adic Numbers, Ultrametric Analysis, and Applications 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Communications in Mathematics and Statistics
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#### Cited in 37 Fields

 524 Number theory (11-XX) 441 Topological groups, Lie groups (22-XX) 92 Algebraic geometry (14-XX) 72 Nonassociative rings and algebras (17-XX) 70 Group theory and generalizations (20-XX) 37 Abstract harmonic analysis (43-XX) 23 Differential geometry (53-XX) 17 Global analysis, analysis on manifolds (58-XX) 16 Functional analysis (46-XX) 13 Linear and multilinear algebra; matrix theory (15-XX) 12 Several complex variables and analytic spaces (32-XX) 10 Quantum theory (81-XX) 8 Partial differential equations (35-XX) 7 Combinatorics (05-XX) 5 Associative rings and algebras (16-XX) 4 $$K$$-theory (19-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 4 Relativity and gravitational theory (83-XX) 3 General and overarching topics; collections (00-XX) 3 Commutative algebra (13-XX) 2 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Geometry (51-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX)

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