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Volumn 355, Issue 2, 2003, Pages 837-864

Analytic models for commuting operator tuples on bounded symmetric domains

Author keywords

Bounded symmetric domains; Coanalytic models; Commuting operator tuples; Functional calculus; Reproducing kernels

Indexed keywords


EID: 0037323145     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (51)

References (30)
  • 1
    • 0000085179 scopus 로고
    • The Arveson extension theorem and coanalytic models
    • [Ag1]. MR 84g:47011
    • [Ag1] J. Agler, The Arveson extension theorem and coanalytic models, Integ. Equations Oper. Theory 5 (1982), 608-631. MR 84g:47011
    • (1982) Integ. Equations Oper. Theory , vol.5 , pp. 608-631
    • Agler, J.1
  • 2
    • 0000884595 scopus 로고
    • Hypercontractions and subnormality
    • [Ag2]. MR 86i:47028
    • [Ag2] J. Agler, Hypercontractions and subnormality, J. Oper. Theory 13 (1985), 203-217. MR 86i:47028
    • (1985) J. Oper. Theory , vol.13 , pp. 203-217
    • Agler, J.1
  • 4
    • 0002834813 scopus 로고
    • A survey of invariant Hubert spaces of analytic functions on bounded symmetric domains
    • [Ara], Multivariable operator theory (R.E. Curto, R.G. Douglas, J.D. Pincus, N. Salinas, eds.), Amer. Math. Soc., Providence. MR 96e:46034
    • [Ara] J. Arazy, A survey of invariant Hubert spaces of analytic functions on bounded symmetric domains, Multivariable operator theory (R.E. Curto, R.G. Douglas, J.D. Pincus, N. Salinas, eds.), Contemporary Mathematics, vol. 185, Amer. Math. Soc., Providence, 1995, pp. 7-65. MR 96e:46034
    • (1995) Contemporary Mathematics , vol.185 , pp. 7-65
    • Arazy, J.1
  • 6
    • 0013305539 scopus 로고    scopus 로고
    • Homogeneous multiplication operators on bounded symmetric domains
    • [ArZ], preprint
    • [ArZ] J. Arazy, G. Zhang, Homogeneous multiplication operators on bounded symmetric domains, preprint, 2001, submitted to J. Funct. Anal.
    • (2001) J. Funct. Anal.
    • Arazy, J.1    Zhang, G.2
  • 7
    • 5844297152 scopus 로고
    • Theory of reproducing kernels
    • [Aro]. MR 14:479c
    • [Aro] N. Aronszajn, Theory of reproducing kernels, Trans. Amer. Math. Soc. 68 (1950), 337-404. MR 14:479c
    • (1950) Trans. Amer. Math. Soc. , vol.68 , pp. 337-404
    • Aronszajn, N.1
  • 8
    • 0000326360 scopus 로고    scopus 로고
    • Subalgebras of C*-algebras III: Multivariable operator theory
    • [Arv]. MR 2000e:47013
    • [Arv] W. Arveson, Subalgebras of C*-algebras III: Multivariable operator theory, Acta Math. 181 (1998), 159-228. MR 2000e:47013
    • (1998) Acta Math. , vol.181 , pp. 159-228
    • Arveson, W.1
  • 9
    • 84966262000 scopus 로고
    • Holomorphic kernels and commuting operators
    • [At1]. MR 88m:47039
    • [At1] A. Athavale, Holomorphic kernels and commuting operators, Trans. Amer. Math. Soc. 304 (1987), 101-110. MR 88m:47039
    • (1987) Trans. Amer. Math. Soc. , vol.304 , pp. 101-110
    • Athavale, A.1
  • 10
    • 0001707995 scopus 로고
    • On the intertwining of joint isometries
    • [At2]. MR 91i:47029
    • [At2] A. Athavale, On the intertwining of joint isometries, J. Oper. Theory 23 (1990), 339-350. MR 91i:47029
    • (1990) J. Oper. Theory , vol.23 , pp. 339-350
    • Athavale, A.1
  • 11
    • 0000576689 scopus 로고
    • m
    • [At3]. MR 94i:47011
    • m, J. Oper. Theory 27 (1992), 347-358. MR 94i:47011
    • (1992) J. Oper. Theory , vol.27 , pp. 347-358
    • Athavale, A.1
  • 13
    • 0000210142 scopus 로고
    • The spectra of elementary operators
    • [Cu]. MR 84e:47005
    • [Cu] R. E. Curto, The spectra of elementary operators, Indiana Univ. Math. J. 32 (1983), 193-197. MR 84e:47005
    • (1983) Indiana Univ. Math. J. , vol.32 , pp. 193-197
    • Curto, R.E.1
  • 14
    • 84966242522 scopus 로고
    • A generalization of von Neumann's inequality to the complex ball
    • [Dr]. MR 80c:47010
    • [Dr] S. W. Drury, A generalization of von Neumann's inequality to the complex ball. Proc. Amer. Math. Soc. 68 (1978), 300-304. MR 80c:47010
    • (1978) Proc. Amer. Math. Soc. , vol.68 , pp. 300-304
    • Drury, S.W.1
  • 15
    • 0001768923 scopus 로고
    • Function spaces and reproducing kernels on bounded symmetric domains
    • [FK]. MR 90m:32049
    • [FK] J. Faraut, A. Koranyi, Function spaces and reproducing kernels on bounded symmetric domains, J. Funct. Anal. 88 (1990), 64-89. MR 90m:32049
    • (1990) J. Funct. Anal. , vol.88 , pp. 64-89
    • Faraut, J.1    Koranyi, A.2
  • 16
    • 0001822998 scopus 로고
    • The Bergman kernel and biholomorphic mappings of pseudoconvex domains
    • [Fe]. MR 50:2562
    • [Fe] C. Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26 (1974), 1-65. MR 50:2562
    • (1974) Invent. Math. , vol.26 , pp. 1-65
    • Fefferman, C.1
  • 17
    • 0001147156 scopus 로고
    • Scalar boundary invariants and the Bergman kernel
    • [Gh], Complex Analysis, II (College Park, MD, 1985-86), Springer, Berlin. MR 89d:32045
    • [Gh] C. R. Graham, Scalar boundary invariants and the Bergman kernel, Complex Analysis, II (College Park, MD, 1985-86). Lecture Notes in Math., vol. 1276, Springer, Berlin, 1987, pp. 108-135. MR 89d:32045
    • (1987) Lecture Notes in Math. , vol.1276 , pp. 108-135
    • Graham, C.R.1
  • 18
    • 0031501912 scopus 로고    scopus 로고
    • A recursion and a combinatorial formula for Jack polynomials
    • [KS]. MR 98k:33040
    • [KS] F. Knop, S. Sahi, A recursion and a combinatorial formula for Jack polynomials, Invent. Math. 128 (1997), 9-22. MR 98k:33040
    • (1997) Invent. Math. , vol.128 , pp. 9-22
    • Knop, F.1    Sahi, S.2
  • 19
    • 0013209930 scopus 로고
    • Une formule de Pieri pour les polynômes de Jack
    • [La] (French). MR 91c:05192
    • [La] M. Lassalle, Une formule de Pieri pour les polynômes de Jack, C. R. Acad. Sci. Paris Sér. I Math. 309 (1989), 941-944 (French). MR 91c:05192
    • (1989) C. R. Acad. Sci. Paris Sér. I Math. , vol.309 , pp. 941-944
    • Lassalle, M.1
  • 22
    • 0004255832 scopus 로고
    • [M], Nauka, Moscow, (in Russian); English translation: Operational Methods, Mir, Moscow, 1976. MR 56:3647
    • [M] V. P. Maslov, Operator Methods, Nauka, Moscow, 1973 (in Russian); English translation: Operational Methods, Mir, Moscow, 1976. MR 56:3647
    • (1973) Operator Methods
    • Maslov, V.P.1
  • 24
    • 84966236905 scopus 로고
    • Standard models for some commuting multioperators
    • [MV]. MR 93e:47016
    • [MV] V. Müller, F.-H. Vasilescu, Standard models for some commuting multioperators, Proc. Amer. Math. Soc. 117 (1993), 979-989. MR 93e:47016
    • (1993) Proc. Amer. Math. Soc. , vol.117 , pp. 979-989
    • Müller, V.1    Vasilescu, F.-H.2
  • 25
    • 0001456658 scopus 로고    scopus 로고
    • Standard models under polynomial positivity conditions
    • [Po]. MR 2000j:47019
    • [Po] S. Pott, Standard models under polynomial positivity conditions, J. Oper. Theory 41 (1999), 365-389. MR 2000j:47019
    • (1999) J. Oper. Theory , vol.41 , pp. 365-389
    • Pott, S.1
  • 26
    • 34250389976 scopus 로고
    • M. Vergne, Analytic continuation of the holomorphic discrete series of a semisimple Lie group
    • [RV]. MR 58:1032
    • [RV] H. Rossi, M. Vergne, Analytic continuation of the holomorphic discrete series of a semisimple Lie group, Acta Math. 136 (1976), 1-59. MR 58:1032
    • (1976) Acta Math. , vol.136 , pp. 1-59
    • Rossi, H.1
  • 27
    • 45249131043 scopus 로고
    • Some combinatorial properties of Jack symmetric functions
    • [St]. MR 90g:05020
    • [St] R. Stanley, Some combinatorial properties of Jack symmetric functions, Adv. Math. 77 (1989), 76-115. MR 90g:05020
    • (1989) Adv. Math. , vol.77 , pp. 76-115
    • Stanley, R.1
  • 28
    • 84968473098 scopus 로고
    • Toeplitz operators on bounded symmetric domains
    • [Up]. MR 85g:47042
    • [Up] H. Upmeier, Toeplitz operators on bounded symmetric domains, Trans. Amer. Math. Soc. 280 (1983), 221-237. MR 85g:47042
    • (1983) Trans. Amer. Math. Soc. , vol.280 , pp. 221-237
    • Upmeier, H.1
  • 29
    • 0013258320 scopus 로고
    • Recurrence formulas for zonal polynomials
    • [Vr]. MR 86j:22012
    • [Vr] L. Vretare, Recurrence formulas for zonal polynomials, Math. Z. 188 (1985), 419-425. MR 86j:22012
    • (1985) Math. Z. , vol.188 , pp. 419-425
    • Vretare, L.1
  • 30
    • 0000696481 scopus 로고
    • Some recurrence formulas for spherical polynomials on tube domains
    • [Zh]. MR 95h:22018
    • [Zh] G. Zhang, Some recurrence formulas for spherical polynomials on tube domains, Trans. Amer. Math. Soc. 347 (1995), 1725-1734. MR 95h:22018
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 1725-1734
    • Zhang, G.1


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