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Volumn 34, Issue 3, 2000, Pages 197-207

On the separation of spectra in the analysis of Berezin Kernels

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EID: 23044523912     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02482409     Document Type: Article
Times cited : (16)

References (28)
  • 1
    • 0002179766 scopus 로고
    • Quantization on complex symmetric spaces
    • F. A. Berezin, "Quantization on complex symmetric spaces," Izv. Akad. Nauk SSSR, Ser. Mat., 39, No. 2, 1362-1402 (1975).
    • (1975) Izv. Akad. Nauk SSSR, Ser. Mat. , vol.39 , Issue.2 , pp. 1362-1402
    • Berezin, F.A.1
  • 2
    • 0002168620 scopus 로고
    • A connection between the co- and the contravariant symbols of operators on classical complex symmetric spaces
    • F. A. Berezin, "A connection between the co- and the contravariant symbols of operators on classical complex symmetric spaces," Dokl. Akad. Nauk SSSR, 241, No. 1, 15-17 (1978)
    • (1978) Dokl. Akad. Nauk SSSR , vol.241 , Issue.1 , pp. 15-17
    • Berezin, F.A.1
  • 3
    • 0031570591 scopus 로고    scopus 로고
    • Canonical representations related to hyperbolic spaces
    • H. van Dijk and S. C. Hille, "Canonical representations related to hyperbolic spaces," J. Funct. Anal., 147, 109-139 (1997).
    • (1997) J. Funct. Anal. , vol.147 , pp. 109-139
    • Van Dijk, H.1    Hille, S.C.2
  • 4
    • 0032186480 scopus 로고    scopus 로고
    • The Berezin form for rank one para-Hermitian symmetric spaces
    • G. van Dijk and V. F. Molchanov, "The Berezin form for rank one para-Hermitian symmetric spaces," J. Math. Pure Appl., 77, 747-799 (1998).
    • (1998) J. Math. Pure Appl. , vol.77 , pp. 747-799
    • Van Dijk, G.1    Molchanov, V.F.2
  • 6
    • 0003249594 scopus 로고
    • Causal semisimple symmetric spaces, the geometry and harmonic analysis
    • (Hofmann K. H., Lawson J. D., Vinberg E. B., eds.), Walter de Gruyter, Berlin
    • J. Faraut and G. Olafsson, "Causal semisimple symmetric spaces, the geometry and harmonic analysis," In: Semigroups in Algebra, Geometry and Analysis (Hofmann K. H., Lawson J. D., Vinberg E. B., eds.), Walter de Gruyter, Berlin, 1995, pp. 3-32.
    • (1995) Semigroups in Algebra, Geometry and Analysis , pp. 3-32
    • Faraut, J.1    Olafsson, G.2
  • 8
    • 0002511434 scopus 로고
    • Complex manifolds whose skeletons are semi-simple Lie groups, and the holomorphic discrete series of representations
    • I. M. Gelfand and S. G. Gindikin, "Complex manifolds whose skeletons are semi-simple Lie groups, and the holomorphic discrete series of representations," Funkts. Anal. Prilozhen., 11, No. 4, 19-27 (1977).
    • (1977) Funkts. Anal. Prilozhen. , vol.11 , Issue.4 , pp. 19-27
    • Gelfand, I.M.1    Gindikin, S.G.2
  • 9
    • 38249002721 scopus 로고
    • Conformal analysis on hyperboloids
    • S. Gindikin, "Conformal analysis on hyperboloids," J. Geom. Phys., 10, 175-184 (1993).
    • (1993) J. Geom. Phys. , vol.10 , pp. 175-184
    • Gindikin, S.1
  • 10
    • 0008827247 scopus 로고
    • Coefficients of Clebsch-Gordan for the holomorphic discrete series
    • E. Gutkin, "Coefficients of Clebsch-Gordan for the holomorphic discrete series," Lett. Math. Phys., 3, 185-192 (1979).
    • (1979) Lett. Math. Phys. , vol.3 , pp. 185-192
    • Gutkin, E.1
  • 12
    • 0009325654 scopus 로고
    • Restrictions and expansions of holomorphic representations
    • H. Jacobsen and M. Vergne, "Restrictions and expansions of holomorphic representations," J. Funct. Anal., 34, 29-53 (1979).
    • (1979) J. Funct. Anal. , vol.34 , pp. 29-53
    • Jacobsen, H.1    Vergne, M.2
  • 13
    • 0010308129 scopus 로고
    • On the spectral decomposition of non-self-adjoint operators
    • M. S. Livshiĉ, "On the spectral decomposition of non-self-adjoint operators," Mat. Sb., 34, 145-199 (1954).
    • (1954) Mat. Sb. , vol.34 , pp. 145-199
    • Livshiĉ, M.S.1
  • 14
    • 85192665053 scopus 로고    scopus 로고
    • Separation of spectra for hyperboloids
    • V. F. Molchanov, "Separation of spectra for hyperboloids," Punkts. Anal. Prilozhen., 31, No. 3, 35-43 (1997).
    • (1997) Punkts. Anal. Prilozhen. , vol.31 , Issue.3 , pp. 35-43
    • Molchanov, V.F.1
  • 15
    • 0009177323 scopus 로고
    • Representations of complementary series entering discretely in tensor products of unitary representations
    • Yu. A. Neretin, "Representations of complementary series entering discretely in tensor products of unitary representations," Punkts. Anal. Prilozhen., 20, No. 4, 79-80 (1986).
    • (1986) Punkts. Anal. Prilozhen. , vol.20 , Issue.4 , pp. 79-80
    • Neretin, Yu.A.1
  • 18
    • 0003299318 scopus 로고    scopus 로고
    • Boundary values of holomorphic functions and some spectral problems for unitary representations
    • (Hilgert J., Lawson J. D., Need K.-H., Vinberg E. B., eds.), Walter de Gruyter, Berlin
    • Yu. A. Neretin, "Boundary values of holomorphic functions and some spectral problems for unitary representations," In: Positivity in Lie Groups: Open Problems (Hilgert J., Lawson J. D., Need K.-H., Vinberg E. B., eds.), Walter de Gruyter, Berlin, 1998.
    • (1998) Positivity in Lie Groups: Open Problems
    • Neretin, Yu.A.1
  • 20
    • 0002361716 scopus 로고
    • Boundary values of holomorphic functions, singular unitary representations of the groups O(p, q), and their limits as q → ∞
    • Yu. A. Neretin and G. I. Olshanskii, "Boundary values of holomorphic functions, singular unitary representations of the groups O(p, q), and their limits as q → ∞," Zap. Nauchn. Sem. POMI RAN, 223, 9-91 (1995).
    • (1995) Zap. Nauchn. Sem. POMI RAN , vol.223 , pp. 9-91
    • Neretin, Yu.A.1    Olshanskii, G.I.2
  • 21
    • 0001884902 scopus 로고    scopus 로고
    • Bargmann transform for symmetric spaces
    • (Doebner H., Dobrev V. K., Hilgert J., eds.), World Scientific
    • G. Ólafsson and B. Ørsted, "Bargmann transform for symmetric spaces," In: Lie Theory and Its Applications in Physics (Doebner H., Dobrev V. K., Hilgert J., eds.), World Scientific, 1996, pp. 3-15.
    • (1996) Lie Theory and Its Applications in Physics , pp. 3-15
    • Ólafsson, G.1    Ørsted, B.2
  • 22
    • 0039488685 scopus 로고
    • Complex Lie semigroups Hardy spaces and Gelfand-Gindikin program
    • Yaroslavl' State University
    • G. I. Olshanskii, "Complex Lie semigroups Hardy spaces and Gelfand-Gindikin program," In: Group Theory and Cohomologous Algebra, Yaroslavl' State University, 1982, pp. 85-98;
    • (1982) Group Theory and Cohomologous Algebra , pp. 85-98
    • Olshanskii, G.I.1
  • 24
    • 0031371394 scopus 로고    scopus 로고
    • Tensor products of analytic continuations of discrete series
    • B. Ørsted and G. Zhang, "Tensor products of analytic continuations of discrete series," Can. J. Math., 49, No. 6, 1224-1241 (1997).
    • (1997) Can. J. Math. , vol.49 , Issue.6 , pp. 1224-1241
    • Ørsted, B.1    Zhang, G.2
  • 25
    • 0001490279 scopus 로고
    • Tensor products of holomorphic discrete series representations
    • J. Repka, "Tensor products of holomorphic discrete series representations," Can. J. Math., 31, 836-844 (1979).
    • (1979) Can. J. Math. , vol.31 , pp. 836-844
    • Repka, J.1
  • 26
    • 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, 563-597 (1994).
    • (1994) Comm. Math. Phys. , vol.164 , pp. 563-597
    • Unterberger, A.1    Upmeier, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.