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Volumn 191, Issue 5-6, 2000, Pages 683-715

Matrix analogues of the beta function and Plancherel's formula for Berezin kernel representations

(1)  Neretin, Yu A a  

a NONE

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EID: 0034341444     PISSN: 10645616     EISSN: 14684802     Source Type: Journal    
DOI: 10.1070/SM2000v191n05ABEH000477     Document Type: Article
Times cited : (10)

References (26)
  • 1
    • 0001605462 scopus 로고
    • Über die analytische Theorie der quadratischen Formen
    • C.L. Siegel, "Über die analytische Theorie der quadratischen Formen", Ann. of Math. (2) 36 (1935), 527-606.
    • (1935) Ann. of Math. , vol.36 , Issue.2 , pp. 527-606
    • Siegel, C.L.1
  • 3
    • 0003744099 scopus 로고
    • Providence, RI
    • Hua Loo Keng, Harmonic analysis of functions of several complex variables in classical domains, Beijing 1958 (Chinese); English transl., Amer. Math. Soc., Providence, RI 1963.
    • (1963) Amer. Math. Soc.
  • 4
    • 0002906597 scopus 로고
    • Analysis on homogeneous spaces
    • Russian
    • S. G. Gindikin, "Analysis on homogeneous spaces", Uspekhi Mat. Nauk 19:4 (1964), 3-92. (Russian)
    • (1964) Uspekhi Mat. Nauk , vol.19 , Issue.4 , pp. 3-92
    • Gindikin, S.G.1
  • 5
    • 0002168620 scopus 로고
    • On relations between covariant and contravariant symbols of operators for complex classical domains
    • F. A. Berezin, "On relations between covariant and contravariant symbols of operators for complex classical domains", Dokl. Akad. Nauk SSSR 241 (1978), 15-17; English transl. in Soviet Math. Dokl. 19 (1978).
    • (1978) Dokl. Akad. Nauk SSSR , vol.241 , pp. 15-17
    • Berezin, F.A.1
  • 6
    • 85164652298 scopus 로고
    • F. A. Berezin, "On relations between covariant and contravariant symbols of operators for complex classical domains", Dokl. Akad. Nauk SSSR 241 (1978), 15-17; English transl. in Soviet Math. Dokl. 19 (1978).
    • (1978) Soviet Math. Dokl. , vol.19
  • 7
    • 21844523831 scopus 로고
    • The Berezin transform and invariant differential operators
    • A. Unterberger and H. Upmeier, "The Berezin transform and invariant differential operators", Comm. Math. Phys. 164 (1994), 563-597.
    • (1994) Comm. Math. Phys. , vol.164 , pp. 563-597
    • Unterberger, A.1    Upmeier, H.2
  • 8
    • 0002361716 scopus 로고
    • Boundary values of holomorphic functions, singular unitary representations of groups O(p,q) and their limits as q → ∞
    • Yu. A. Neretin and G.I. Ol'shanskiǐ, "Boundary values of holomorphic functions, singular unitary representations of groups O(p,q) and their limits as q → ∞", Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. 223 (1995), 9-91; English transl. in J. Math. Sci. (1997), 3983-4035.
    • (1995) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. , vol.223 , pp. 9-91
    • Neretin, Yu.A.1    Ol'shanskiǐ, G.I.2
  • 9
    • 85164636303 scopus 로고    scopus 로고
    • Yu. A. Neretin and G.I. Ol'shanskiǐ, "Boundary values of holomorphic functions, singular unitary representations of groups O(p,q) and their limits as q → ∞", Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. 223 (1995), 9-91; English transl. in J. Math. Sci. (1997), 3983-4035.
    • (1997) J. Math. Sci. , pp. 3983-4035
  • 10
    • 0031570591 scopus 로고    scopus 로고
    • Canonical representations related to hyperbolic spaces
    • G. van Dijk and S. C. Hille, "Canonical representations related to hyperbolic spaces", J. Funct. Anal. 147:1 (1997), 109-139.
    • (1997) J. Funct. Anal. , vol.147 , Issue.1 , pp. 109-139
    • Van Dijk, G.1    Hille, S.C.2
  • 11
    • 0001884902 scopus 로고
    • Generalizations of the Bargmann transform
    • Clausthal, Germany, August 14-17, World Scientific, Singapore
    • G. Olafsson and B. Örsted, "Generalizations of the Bargmann transform", Lie theory and its applications in physics (Clausthal, Germany, August 14-17, 1995), World Scientific, Singapore 1996, pp. 3-14.
    • (1995) Lie Theory and Its Applications in Physics , pp. 3-14
    • Olafsson, G.1    Örsted, B.2
  • 12
    • 0031371394 scopus 로고    scopus 로고
    • Tensor products of analytic continuations of holomorphic discrete series
    • B. Örsted and G. Zhang, "Tensor products of analytic continuations of holomorphic discrete series", Canad. J. Math. 49 (1997), 1224-1241.
    • (1997) Canad. J. Math. , vol.49 , pp. 1224-1241
    • Örsted, B.1    Zhang, G.2
  • 13
    • 0003299318 scopus 로고    scopus 로고
    • Boundary values of holomorphic functions and some spectral problems for unitary representations
    • de Gruyter, Berlin
    • Yu. A. Neretin, "Boundary values of holomorphic functions and some spectral problems for unitary representations", Positivity in Lie groups: open problems, de Gruyter, Berlin 1998, pp. 221-248.
    • (1998) Positivity in Lie Groups: Open Problems , pp. 221-248
    • Neretin, Yu.A.1
  • 16
    • 0002744751 scopus 로고
    • Extension of representations of classical groups to representations of categories
    • Yu. A. Neretin, "Extension of representations of classical groups to representations of categories", Algebra i Analiz 3:1 (1991), 176-202; English transl. in St. Petersburg Math. J. 3 (1992), 147-169.
    • (1991) Algebra i Analiz , vol.3 , Issue.1 , pp. 176-202
    • Neretin, Yu.A.1
  • 17
    • 0000115318 scopus 로고
    • Yu. A. Neretin, "Extension of representations of classical groups to representations of categories", Algebra i Analiz 3:1 (1991), 176-202; English transl. in St. Petersburg Math. J. 3 (1992), 147-169.
    • (1992) St. Petersburg Math. J. , vol.3 , pp. 147-169
  • 18
    • 0004131235 scopus 로고
    • Nauka, Moscow English transl. of 1st ed., Chelsea Publ. Corp., NY
    • F. R. Gantmacher [Gantmakher], The theory of matrices, 4th ed., Nauka, Moscow 1988; English transl. of 1st ed., Chelsea Publ. Corp., NY 1959.
    • (1959) The Theory of Matrices, 4th Ed.
    • Gantmacher, F.R.1
  • 19
    • 0002179766 scopus 로고
    • Quantization in complex symmetric domains
    • F. A. Berezin, "Quantization in complex symmetric domains", Izv. Akad. Nauk SSSR Ser. Mat. 39 (1975), 1362-1402; English transl. in Math. USSR-Izv. 9 (1976), 341-379.
    • (1975) Izv. Akad. Nauk SSSR Ser. Mat. , vol.39 , pp. 1362-1402
    • Berezin, F.A.1
  • 20
    • 0002179768 scopus 로고
    • F. A. Berezin, "Quantization in complex symmetric domains", Izv. Akad. Nauk SSSR Ser. Mat. 39 (1975), 1362-1402; English transl. in Math. USSR-Izv. 9 (1976), 341-379.
    • (1976) Math. USSR-Izv. , vol.9 , pp. 341-379
  • 25
    • 0001178133 scopus 로고
    • Plancherel measure for Riemann symmetric spaces of nonpositive curvature
    • S. G. Gindikin and F. I. Karpelevich, "Plancherel measure for Riemann symmetric spaces of nonpositive curvature", Dokl. Akad. Nauk SSSR 145 (1962), 252-255; English transl. in Soviet Math. Dokl. 3 (1962).
    • (1962) Dokl. Akad. Nauk SSSR , vol.145 , pp. 252-255
    • Gindikin, S.G.1    Karpelevich, F.I.2
  • 26
    • 85164648571 scopus 로고
    • S. G. Gindikin and F. I. Karpelevich, "Plancherel measure for Riemann symmetric spaces of nonpositive curvature", Dokl. Akad. Nauk SSSR 145 (1962), 252-255; English transl. in Soviet Math. Dokl. 3 (1962).
    • (1962) Soviet Math. Dokl. , vol.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.