Search Results - spaces of holomorphic functions on Cartan domains

Refine Results
  1. 1

    Hilbert spaces of holomorphic functions on generalized Cartan-Hartogs domains by ZhiMing, Feng

    ISSN: 1747-6933, 1747-6941
    Published: Colchester Taylor & Francis Group 01.03.2013
    Published in 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…”
    Get full text
    Journal Article
  2. 2

    Multiplication operators on weighted Bloch spaces of the first Cartan domains by Jiang, Zhi-jie

    ISSN: 1029-242X, 1025-5834, 1029-242X
    Published: Cham Springer International Publishing 01.08.2020
    Published in 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…”
    Get full text
    Journal Article
  3. 3

    On canonical metrics on Cartan–Hartogs domains by Feng, Zhiming, Tu, Zhenhan

    ISSN: 0025-5874, 1432-1823
    Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2014
    Published in 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…”
    Get full text
    Journal Article
  4. 4

    Weighted Composition Operators from H∞ to α,m-Bloch Space on Cartan-Hartogs Domain of the First Type by Su, Jianbing, Zhang, Ziyi

    ISSN: 2314-8896, 2314-8888
    Published: New York Hindawi 2022
    Published in Journal of function spaces (2022)
    “…Let YI be nonhomogeneous Cartan-Hartogs domain of the first type, ϕ a holomorphic self-map, and ψ…”
    Get full text
    Journal Article
  5. 5

    Multiplication Operators on Weighted Zygmund Spaces of the First Cartan Domain by Jiang, Zhi-Jie

    ISSN: 2075-1680, 2075-1680
    Published: Basel MDPI AG 01.12.2023
    Published in 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…”
    Get full text
    Journal Article
  6. 6

    On algebras of holomorphic functions of a given type by Muro, Santiago

    ISSN: 0022-247X, 1096-0813
    Published: Elsevier Inc 15.05.2012
    “…We show that several spaces of holomorphic functions on a Riemann domain over a Banach space, including the nuclear and Hilbert…”
    Get full text
    Journal Article
  7. 7

    Norm of the multiplication operators from H ∞ to the Bloch space of a bounded symmetric domain by Colonna, Flavia, Easley, Glenn R., Singman, David

    ISSN: 0022-247X, 1096-0813
    Published: Amsterdam Elsevier Inc 15.10.2011
    “…Let D be a bounded symmetric domain in C N and let ψ be a complex-valued holomorphic function on D…”
    Get full text
    Journal Article
  8. 8

    Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds I by Brudnyi, A, Kinzebulatov, D

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 30.09.2013
    Published in 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…”
    Get full text
    Paper
  9. 9

    Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds II by Brudnyi, A, Kinzebulatov, D

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 30.09.2013
    Published in 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…”
    Get full text
    Paper
  10. 10

    Extended MacMahon–Schwingerʼs Master Theorem and conformal wavelets in complex Minkowski space by Calixto, M., Pérez-Romero, E.

    ISSN: 1063-5203, 1096-603X
    Published: Elsevier Inc 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…”
    Get full text
    Journal Article
  11. 11

    On canonical metrics on Cartan-Hartogs domains by Feng, Zhiming, Tu, Zhenhan

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 31.03.2014
    Published in arXiv.org (31.03.2014)
    “…The Cartan-Hartogs domains are defined as a class of Hartogs type domains over irreducible bounded symmetric domains…”
    Get full text
    Paper
  12. 12

    Weighted ∂-integral representations in matrix domains by Karapetyan, Arman H.

    ISSN: 1747-6933, 1747-6941
    Published: Taylor & Francis Group 01.12.2008
    Published in 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…”
    Get full text
    Journal Article
  13. 13

    Boundary values of holomorphic functions and some spectral problems for unitary representations by Neretin, Yurii A

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 24.11.1997
    Published in arXiv.org (24.11.1997)
    “…We consider hilbert spaces of holomorphic functions in Cartan domains (in particular in ball and polydisk…”
    Get full text
    Paper
  14. 14

    Plancherel Formula for Berezin Deformation of L2 on Riemannian Symmetric Space by Neretin, Yurii A.

    ISSN: 0022-1236, 1096-0783
    Published: Elsevier Inc 01.03.2002
    Published in 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…”
    Get full text
    Journal Article
  15. 15

    Holomorphic curves in complex spaces by Drinovec-Drnovsek, Barbara, stneric, Franc

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 28.11.2006
    Published in 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…”
    Get full text
    Paper
  16. 16

    Matrix Cartan Superdomains, Super Toeplitz-Operators, and Quantization by Borthwick, D., Klimek, S., Lesniewski, A., Rinaldi, M.

    ISSN: 0022-1236, 1096-0783
    Published: Elsevier Inc 01.02.1995
    Published in 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…”
    Get full text
    Journal Article
  17. 17

    On algebras of holomorphic functions of a given type by Muro, Santiago

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 05.10.2011
    Published in 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…”
    Get full text
    Paper
  18. 18

    Differentiable and Holomorphic Mappings in Banach Spaces by Simeon Reich, David Shoikhet

    ISBN: 9781860945755, 1860945759, 9781783260218, 1783260211, 186094714X, 9781860947148
    Published: Singapore World Scientific Publishing Company 2005
    “…, 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…”
    Get full text
    Book Chapter
  19. 19

    The group of diffeomorphisms of the circle: reproducing kernels and analogs of spherical functions by Neretin, Yury A

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 09.01.2016
    Published in 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…”
    Get full text
    Paper
  20. 20

    Conformal Spinning Quantum Particles in Complex Minkowski Space as Constrained Nonlinear Sigma Models in U(2,2) and Born's Reciprocity by Calixto, M, Pérez-Romero, E

    ISSN: 2331-8422
    Published: Ithaca Cornell University Library, arXiv.org 30.06.2010
    Published in 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…”
    Get full text
    Paper