Výsledky vyhledávání - spaces of holomorphic functions on Cartan domains
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Hilbert spaces of holomorphic functions on generalized Cartan-Hartogs domains
ISSN: 1747-6933, 1747-6941Vydáno: Colchester Taylor & Francis Group 01.03.2013Vydáno v Complex variables and elliptic equations (01.03.2013)“…In this article, we introduce invariant Hilbert spaces of holomorphic functions on generalized Cartan-Hartogs domains, whose reproducing kernels can be explicitly expressed, and provide integral…”
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Multiplication operators on weighted Bloch spaces of the first Cartan domains
ISSN: 1029-242X, 1025-5834, 1029-242XVydáno: Cham Springer International Publishing 01.08.2020Vydáno v Journal of inequalities and applications (01.08.2020)“…Let ℜ I ( m , n ) be the first Cartan domain. Motivated by some results of the multiplication operators on the holomorphic function spaces on the unit ball of C…”
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On canonical metrics on Cartan–Hartogs domains
ISSN: 0025-5874, 1432-1823Vydáno: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2014Vydáno v Mathematische Zeitschrift (01.10.2014)“… ) , we obtain an explicit formula for the Bergman kernel of the weighted Hilbert space H α of square integrable holomorphic functions on Ω B d 0 ( μ ) , g ( μ…”
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Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type
ISSN: 2314-8896, 2314-8888Vydáno: New York Hindawi 2022Vydáno v Journal of function spaces (2022)“…Let YI be nonhomogeneous Cartan-Hartogs domain of the first type, ϕ a holomorphic self-map, and ψ…”
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Multiplication Operators on Weighted Zygmund Spaces of the First Cartan Domain
ISSN: 2075-1680, 2075-1680Vydáno: Basel MDPI AG 01.12.2023Vydáno v Axioms (01.12.2023)“…Inspired by some recent studies of the multiplication operators on holomorphic function spaces of the classical domains such as the open unit disk, the unit ball and the unit polydisk, the purpose…”
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On algebras of holomorphic functions of a given type
ISSN: 0022-247X, 1096-0813Vydáno: Elsevier Inc 15.05.2012Vydáno v Journal of mathematical analysis and applications (15.05.2012)“…We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert…”
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Norm of the multiplication operators from H ∞ to the Bloch space of a bounded symmetric domain
ISSN: 0022-247X, 1096-0813Vydáno: Amsterdam Elsevier Inc 15.10.2011Vydáno v Journal of mathematical analysis and applications (15.10.2011)“…Let D be a bounded symmetric domain in C N and let ψ be a complex-valued holomorphic function on D…”
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Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds I
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 30.09.2013Vydáno v arXiv.org (30.09.2013)“…) Bohr's algebra of holomorphic almost periodic functions on tube domains; (2) algebra of all fibrewise bounded holomorphic functions (e.g…”
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Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds II
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 30.09.2013Vydáno v arXiv.org (30.09.2013)“… (such as algebras of Bohr's holomorphic almost periodic functions on tube domains or algebras of all fibrewise bounded holomorphic functions arising, e.g…”
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Extended MacMahon–Schwingerʼs Master Theorem and conformal wavelets in complex Minkowski space
ISSN: 1063-5203, 1096-603XVydáno: Elsevier Inc 01.07.2011Vydáno v Applied and computational harmonic analysis (01.07.2011)“…We construct the Continuous Wavelet Transform (CWT) on the homogeneous space (Cartan domain) D 4 = SO ( 4 , 2 ) / ( SO ( 4 ) × SO ( 2 ) ) of the conformal group…”
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On canonical metrics on Cartan-Hartogs domains
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 31.03.2014Vydáno v arXiv.org (31.03.2014)“…The Cartan-Hartogs domains are defined as a class of Hartogs type domains over irreducible bounded symmetric domains…”
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Weighted ∂-integral representations in matrix domains
ISSN: 1747-6933, 1747-6941Vydáno: Taylor & Francis Group 01.12.2008Vydáno v Complex variables and elliptic equations (01.12.2008)“… Here P is the orthogonal projector of the space L 2 {R mn ; [det(I m − ηη*)] α dμ mn (η)} onto its subspace of holomorphic functions and the integral operator T has an explicit kernel with estimates…”
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Boundary values of holomorphic functions and some spectral problems for unitary representations
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 24.11.1997Vydáno v arXiv.org (24.11.1997)“…We consider hilbert spaces of holomorphic functions in Cartan domains (in particular in ball and polydisk…”
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Plancherel Formula for Berezin Deformation of L2 on Riemannian Symmetric Space
ISSN: 0022-1236, 1096-0783Vydáno: Elsevier Inc 01.03.2002Vydáno v Journal of functional analysis (01.03.2002)“…Consider natural representations of the pseudounitary group U(p, q) in the space of holomorphic functions on the Cartan domain…”
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Holomorphic curves in complex spaces
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 28.11.2006Vydáno v arXiv.org (28.11.2006)“…, and this condition is essential. The proof involves a lifting method for the boundary of the curve and a newly developed technique of gluing holomorphic sprays over Cartan pairs in Stein manifolds whose value lie in a complex space…”
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Matrix Cartan Superdomains, Super Toeplitz-Operators, and Quantization
ISSN: 0022-1236, 1096-0783Vydáno: Elsevier Inc 01.02.1995Vydáno v Journal of functional analysis (01.02.1995)“… The quantization scheme is based on the notion of a super Toeplitz operator on a suitable Z2-graded Hilbert spaces of super-holomorphic functions…”
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On algebras of holomorphic functions of a given type
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 05.10.2011Vydáno v arXiv.org (05.10.2011)“…We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert-Schmidt bounded type, are locally \(m\)-convex Fréchet algebras…”
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Differentiable and Holomorphic Mappings in Banach Spaces
ISBN: 9781860945755, 1860945759, 9781783260218, 1783260211, 186094714X, 9781860947148“…, Some*-algebras l-analytic functions on unital J*-algebras The Schwarz Lemma The classical Schwarz Lemma and Cartan's uniqueness theorem Automorphisms The unit disk The poly disk…”Vydáno: Singapore World Scientific Publishing Company 2005
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The group of diffeomorphisms of the circle: reproducing kernels and analogs of spherical functions
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 09.01.2016Vydáno v arXiv.org (09.01.2016)“…\) of univalent functions is an analog of the corresponding classical complex Cartan domains. We present explicit formulas for realizations of highest weight representations of \(Diff…”
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Conformal Spinning Quantum Particles in Complex Minkowski Space as Constrained Nonlinear Sigma Models in U(2,2) and Born's Reciprocity
ISSN: 2331-8422Vydáno: Ithaca Cornell University Library, arXiv.org 30.06.2010Vydáno v arXiv.org (30.06.2010)“… Physical wave functions, Haar measures, orthonormal basis and reproducing (Bergman) kernels are explicitly calculated in and holomorphic picture in these Cartan domains for both scalar and spinning quantum particles…”
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