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Volumn 244, Issue 1, 2007, Pages 289-314

New formulas for Whittaker functions on GL (n, R)

Author keywords

Automorphic forms; Toda lattices; Whittaker functions

Indexed keywords


EID: 33846568541     PISSN: 00221236     EISSN: 10960783     Source Type: Journal    
DOI: 10.1016/j.jfa.2006.12.004     Document Type: Article
Times cited : (31)

References (29)
  • 1
    • 84960583708 scopus 로고
    • A new development of the theory of hypergeometric functions
    • Barnes E.W. A new development of the theory of hypergeometric functions. Proc. London Math. Soc. 2 6 (1908) 141-177
    • (1908) Proc. London Math. Soc. , vol.2 , Issue.6 , pp. 141-177
    • Barnes, E.W.1
  • 2
    • 0742268058 scopus 로고
    • Automorphic Forms on GL (3, R)
    • Springer
    • Bump D. Automorphic Forms on GL (3, R). Lecture Notes in Math. vol. 1083 (1984), Springer
    • (1984) Lecture Notes in Math. , vol.1083
    • Bump, D.1
  • 4
    • 38249021628 scopus 로고
    • On Mellin transforms of unramified Whittaker functions on GL (3, C)
    • Bump D., and Friedberg S. On Mellin transforms of unramified Whittaker functions on GL (3, C). J. Math. Anal. Appl. 139 1 (1989) 205-216
    • (1989) J. Math. Anal. Appl. , vol.139 , Issue.1 , pp. 205-216
    • Bump, D.1    Friedberg, S.2
  • 5
    • 0002391725 scopus 로고
    • Poincaré series and Kloosterman sums for SL (3, Z)
    • Bump D., Friedberg S., and Goldfeld D. Poincaré series and Kloosterman sums for SL (3, Z). Acta Arith. 50 1 (1988) 31-89
    • (1988) Acta Arith. , vol.50 , Issue.1 , pp. 31-89
    • Bump, D.1    Friedberg, S.2    Goldfeld, D.3
  • 6
    • 0009242617 scopus 로고    scopus 로고
    • Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture. Topics in singularity theory
    • Givental A. Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture. Topics in singularity theory. Amer. Math. Soc. Transl. (2) 180 (1997) 103-115
    • (1997) Amer. Math. Soc. Transl. (2) , vol.180 , pp. 103-115
    • Givental, A.1
  • 7
    • 21844486554 scopus 로고
    • Quantum cohomology of flag manifolds and Toda lattices
    • Givental A., and Kim B. Quantum cohomology of flag manifolds and Toda lattices. Comm. Math. Phys. 168 3 (1995) 609-641
    • (1995) Comm. Math. Phys. , vol.168 , Issue.3 , pp. 609-641
    • Givental, A.1    Kim, B.2
  • 8
    • 84972502525 scopus 로고
    • Whittaker functions on semisimple Lie groups
    • Hashizume M. Whittaker functions on semisimple Lie groups. Hiroshima Math. J. 12 (1982) 259-293
    • (1982) Hiroshima Math. J. , vol.12 , pp. 259-293
    • Hashizume, M.1
  • 9
    • 33846568954 scopus 로고    scopus 로고
    • A remark on Whittaker functions on SL (n, R)
    • Ishii T. A remark on Whittaker functions on SL (n, R). Ann. Inst. Fourier 55 (2005) 483-492
    • (2005) Ann. Inst. Fourier , vol.55 , pp. 483-492
    • Ishii, T.1
  • 10
    • 0001416265 scopus 로고
    • Fonctions de Whittaker associées aux groupes de Chevalley
    • Jacquet H. Fonctions de Whittaker associées aux groupes de Chevalley. Bull. Soc. Math. France 95 (1967) 243-309
    • (1967) Bull. Soc. Math. France , vol.95 , pp. 243-309
    • Jacquet, H.1
  • 13
    • 0037902136 scopus 로고    scopus 로고
    • Equivariant mirrors and the Virasoro conjecture for flag manifolds
    • Joe D., and Kim B. Equivariant mirrors and the Virasoro conjecture for flag manifolds. Int. Math. Res. Not. 15 (2003) 859-882
    • (2003) Int. Math. Res. Not. , Issue.15 , pp. 859-882
    • Joe, D.1    Kim, B.2
  • 14
    • 0000482115 scopus 로고
    • On Whittaker vectors and representation theory
    • Kostant B. On Whittaker vectors and representation theory. Invent. Math. 48 (1978) 101-184
    • (1978) Invent. Math. , vol.48 , pp. 101-184
    • Kostant, B.1
  • 15
    • 0001043985 scopus 로고
    • Quantization and representation theory. Representation theory of Lie groups
    • Cambridge Univ. Press
    • Kostant B. Quantization and representation theory. Representation theory of Lie groups. London Math. Soc. Lecture Note Ser. vol. 34 (1979), Cambridge Univ. Press 287-316
    • (1979) London Math. Soc. Lecture Note Ser. , vol.34 , pp. 287-316
    • Kostant, B.1
  • 16
    • 0007508501 scopus 로고
    • Explicit formulas in the theory of automorphic forms
    • Number Theory Day; Proceedings of the Conference. Rockefeller University, 1976, Springer
    • Moreno C.J. Explicit formulas in the theory of automorphic forms. Number Theory Day; Proceedings of the Conference. Rockefeller University, 1976. Lecture Notes in Math. vol. 626 (1977), Springer
    • (1977) Lecture Notes in Math. , vol.626
    • Moreno, C.J.1
  • 17
    • 31544474979 scopus 로고
    • Über die analytische Fortsetzung von Poincaréreihen
    • Neunhöffer H. Über die analytische Fortsetzung von Poincaréreihen. Sitz. Heidelberger Akad. Wiss. 2 (1973) 33-90
    • (1973) Sitz. Heidelberger Akad. Wiss. , vol.2 , pp. 33-90
    • Neunhöffer, H.1
  • 18
    • 84972525998 scopus 로고
    • A class of nonanalytic automorphic functions
    • Niebur D. A class of nonanalytic automorphic functions. Nagoya Math. J. 52 (1973) 133-145
    • (1973) Nagoya Math. J. , vol.52 , pp. 133-145
    • Niebur, D.1
  • 20
    • 0002350116 scopus 로고
    • Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series
    • Selberg A. Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series. J. Indian Math. Soc. 20 (1956) 47-87
    • (1956) J. Indian Math. Soc. , vol.20 , pp. 47-87
    • Selberg, A.1
  • 21
    • 0000967894 scopus 로고
    • The multiplicity one theorem for GL (n)
    • Shalika J. The multiplicity one theorem for GL (n). Ann. of Math. 100 (1974) 171-193
    • (1974) Ann. of Math. , vol.100 , pp. 171-193
    • Shalika, J.1
  • 22
    • 84980140406 scopus 로고
    • The special values of the zeta functions associated with cusp forms
    • Shimura G. The special values of the zeta functions associated with cusp forms. Comm. Pure Appl. Math 29 6 (1976) 783-804
    • (1976) Comm. Pure Appl. Math , vol.29 , Issue.6 , pp. 783-804
    • Shimura, G.1
  • 23
    • 84972560567 scopus 로고
    • Poincaré series for GL (3, R)-Whittaker functions
    • Stade E. Poincaré series for GL (3, R)-Whittaker functions. Duke Math. J. 58 3 (1989) 695-729
    • (1989) Duke Math. J. , vol.58 , Issue.3 , pp. 695-729
    • Stade, E.1
  • 24
    • 84973998022 scopus 로고
    • On explicit integral formulas for GL (n, R)-Whittaker functions
    • Stade E. On explicit integral formulas for GL (n, R)-Whittaker functions. Duke Math. J. 60 2 (1990) 313-362
    • (1990) Duke Math. J. , vol.60 , Issue.2 , pp. 313-362
    • Stade, E.1
  • 25
    • 51249169767 scopus 로고
    • Mellin transforms of Whittaker functions on GL (4, R) and GL (4, C)
    • Stade E. Mellin transforms of Whittaker functions on GL (4, R) and GL (4, C). Manuscripta Math. 87 (1995) 511-526
    • (1995) Manuscripta Math. , vol.87 , pp. 511-526
    • Stade, E.1
  • 26
    • 0142245278 scopus 로고    scopus 로고
    • Mellin transforms of GL (n, R) Whittaker functions
    • Stade E. Mellin transforms of GL (n, R) Whittaker functions. Amer. J. Math. 123 (2001) 121-161
    • (2001) Amer. J. Math. , vol.123 , pp. 121-161
    • Stade, E.1
  • 27
    • 0142199784 scopus 로고    scopus 로고
    • Archimedean L-factors on GL (n) × GL (n) and generalized Barnes integrals
    • Stade E. Archimedean L-factors on GL (n) × GL (n) and generalized Barnes integrals. Israel J. Math. 127 (2002) 201-220
    • (2002) Israel J. Math. , vol.127 , pp. 201-220
    • Stade, E.1
  • 28
    • 0000334690 scopus 로고
    • Asymptotic Expansions of Generalized Matrix Coefficients of Representations of Real Reductive Groups
    • Springer
    • Wallach N. Asymptotic Expansions of Generalized Matrix Coefficients of Representations of Real Reductive Groups. Lecture Notes in Math. vol. 1024 (1983), Springer
    • (1983) Lecture Notes in Math. , vol.1024
    • Wallach, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.