L²-Angles between one-dimensional tubes

Maciej Skwarczyński

Displaying similar documents to “L²-Angles between one-dimensional tubes”

The exceptional sets for functions from the Bergman space

Jakóbczak, Piotr (1993)

Portugaliae mathematica

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The Bergman kernel of the minimal ball and applications

Karl Oeljeklaus, Peter Pflug, El Hassan Youssfi (1997)

Annales de l'institut Fourier

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In this note we compute the Bergman kernel of the unit ball with respect to the smallest norm in $ℂ^{n}$ that extends the euclidean norm in $ℝ^{n}$ and give some applications.

A weighted Plancherel formula II. The case of the ball

Genkai Zhang (1992)

Studia Mathematica

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The group SU(1,d) acts naturally on the Hilbert space $L ² (B d μ_{α}) (α > - 1)$ , where B is the unit ball of $ℂ^{d}$ and $d μ_{α}$ the weighted measure ${(1 - | z | ²)}^{α} d m (z)$ . It is proved that the irreducible decomposition of the space has finitely many discrete parts and a continuous part. Each discrete part corresponds to a zero of the generalized Harish-Chandra c-function in the lower half plane. The discrete parts are studied via invariant Cauchy-Riemann operators. The representations on the discrete parts are equivalent to actions on some...

Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product

Hermann Render, Andreas Sauer (1996)

Studia Mathematica

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Let $H (G_{1})$ be the set of all holomorphic functions on the domain $G_{1} .$ Two domains $G_{1}$ and $G_{2}$ are called Hadamard-isomorphic if $H (G_{1})$ and $H (G_{2})$ are isomorphic algebras with respect to the Hadamard product. Our main result states that two admissible domains are Hadamard-isomorphic if and only if they are equal.

Behavior of holomorphic functions in complex tangential directions in a domain of finite type in C.

Sandrine Grellier (1992)

Publicacions Matemàtiques

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Let Ω be a domain in C. It is known that a holomorphic function on Ω behaves better in complex tangential directions. When Ω is of finite type, the best possible improvement is quantified at each point by the distance to the boundary in the complex tangential directions (see the papers on the geometry of finite type domains of Catlin, Nagel-Stein and Wainger for precise definition). We show that this improvement is characteristic: for a holomorphic function, a regularity in complex tangential...

Uniform boundary regularity of proper holomorphic maps

Wilhelm Klingenberg (1990)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Invariant operators and pluriharmonic functions on symmetric irreducible Siegel domains

Ewa Damek, Andrzej Hulanicki (2000)

Studia Mathematica

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Let D be a symmetric irreducible Siegel domain. Pluriharmonic functions satisfying a certain rather weak growth condition are characterized by r+2 operators (r+1 in the tube case), r being the rank of the underlying symmetric cone

Holomorphic isometries of Cartan domains of type one

Edoardo Vesentini (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Holomorphic isometries for the Kobayashi metric of a class of Cartan domains are characterized.