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Identity surfaces.

Tutschke, W. (2000)

Zeitschrift für Analysis und ihre Anwendungen

Imbedding of Power Series Spaces and Spaces of Analytic Functions.

A. Aytuna, J. Krone, T. Terzioglu (1990)

Manuscripta mathematica

In a shadow of the RH: Cyclic vectors of Hardy spaces on the Hilbert multidisc

Nikolai Nikolski (2012)

Annales de l’institut Fourier

Completeness of a dilation system ${(ϕ (n x))}_{n \geq 1}$ on the standard Lebesgue space $L^{2} (0, 1)$ is considered for 2-periodic functions $ϕ$ . We show that the problem is equivalent to an open question on cyclic vectors of the Hardy space $H^{2} (𝔻_{2}^{\infty})$ on the Hilbert multidisc $𝔻_{2}^{\infty}$ . Several simple sufficient conditions are exhibited, which include however practically all previously known results (Wintner; Kozlov; Neuwirth, Ginsberg, and Newman; Hedenmalm, Lindquist, and Seip). For instance, each of the following conditions implies cyclicity...

Inclusion operators in Bergman spaces on bounded symmetric domains in $C^{n}$

T. Wolniewicz (1984)

Studia Mathematica

Ind-Sheaves, distributions, and microlocalization

Masaki Kashiwara, Pierre Schapira (1998/1999)

Séminaire Équations aux dérivées partielles

Inégalités à poids pour le projecteur de Bergman dans la boule unité de $C^{n}$

David Békollé (1982)

Studia Mathematica

Inégalités de Łojasiewicz globales

Jean-Claude Tougeron (1991)

Annales de l'institut Fourier

On étudie les propriétés métriques des ensembles analytique réels $f = 0$ , avec $f \in 𝒪 (Ω)$ , $𝒪 (Ω)$ algèbre analytique topologiquement noethérienne. Ainsi, on construit de larges classes d’algèbres $𝒪 (Ω)$ topologiquement noethériennes et vérifiant des conditions de Łojasiewicz globales d’un certain type. Comme application, on obtient des théorèmes de division de fonction $𝒞^{\infty}$ par des fonctions analytiques.

Infinitely many asymptotic values of locally univalent meromorphic functions.

Barth, Karl F., Rippon, Philip J. (2003)

Annales Academiae Scientiarum Fennicae. Mathematica

Inner Functions and Boundary Values in H... (...) and A (...) in Smoothly Bounded Pseudoconvex Domains.

Erik Low (1984)

Mathematische Zeitschrift

Inner $k$ -th Carathéodory-Reiffen completeness of Reinhardt domains

Paweł Zapałowski (2004)

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

A description of bounded pseudoconvex Reinhardt domains, which are complete with respect to the inner $k$ -th Carathéodory-Reiffen distance, is given.

Integral closure of $ℂ {X}$ in $ℂ [[X]]$ via the Puiseux theorem.

Grelowski, Krzysztof (2002)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

Integral Formulas for the ... ....-Equation and Zeros of Bounded Holomorphic Functions in the Unit Ball.

Bo Berndtsson (1980)

Mathematische Annalen

Integral formulas for the $\bar{\partial}$ -equation on complex projective algebraic manifolds

Telemachos Hatziafratis (1990)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.

Bo Berndtsson (1988)

Publicacions Matemàtiques

We construct a variant of Koppelman's formula for (0,q)-forms with values in a line bundle, O(l), on projective space. The formula is then applied to a study of a Radon transform for (0,q)-forms, introduced by Gindikin-Henkin-Polyakov. Our presentation follows along the basic lines of Henkin-Polyakov [3], with some simplifications.

Integral representation of $n$ -variable positive real functions

Jiří Gregor (1980)

Commentationes Mathematicae Universitatis Carolinae

Integral representations and coherent states.

Kisil, Vladimir V. (1995)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Integral representations for some weighted classes of functions holomorphic in matrix domains

M. M. Djrbashian, A. H. Karapetyan (1991)

Annales Polonici Mathematici

In 1945 the first author introduced the classes $H^{p} (α)$ , 1 ≤ p<∞, α > -1, of holomorphic functions in the unit disk with finite integral (1) ∬ |f(ζ)|p (1-|ζ|²)α dξ dη < ∞ (ζ=ξ+iη) and established the following integral formula for $f \in H^{p} (α)$ : (2) f(z) = (α+1)/π ∬ f(ζ) ((1-|ζ|²)α)/((1-zζ̅)2+α) dξdη, z∈ . We have established that the analogues of the integral representation (2) hold for holomorphic functions in Ω from the classes $L^{p} (Ω; {[K (w)]}^{α} d m (w))$ , where: 1) $Ω = w = (w ₁, . . ., w_{n}) \in ℂ^{n} : I m w ₁ > \sum_{k = 2}^{n} | w_{k} | ²$ , $K (w) = I m w ₁ - \sum_{k = 2}^{n} | w_{k} | ²$ ; 2) Ω is the matrix domain consisting of those complex m...

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