Hyperbolische Komplexe Räume und die Vermutung von Mordell.
Hypercomplex algebras, hypercomplex analysis and conformal invariance
Hyperfunktionen und Sätze vom Typ Edge of the Wedge.
Identity surfaces.
Imbedding of Power Series Spaces and Spaces of Analytic Functions.
In a shadow of the RH: Cyclic vectors of Hardy spaces on the Hilbert multidisc
Completeness of a dilation system on the standard Lebesgue space is considered for 2-periodic functions . We show that the problem is equivalent to an open question on cyclic vectors of the Hardy space on the Hilbert multidisc . 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
Ind-Sheaves, distributions, and microlocalization
Inégalités à poids pour le projecteur de Bergman dans la boule unité de
Inégalités de Łojasiewicz globales
On étudie les propriétés métriques des ensembles analytique réels , avec , algèbre analytique topologiquement noethérienne. Ainsi, on construit de larges classes d’algèbres topologiquement noethériennes et vérifiant des conditions de Łojasiewicz globales d’un certain type. Comme application, on obtient des théorèmes de division de fonction par des fonctions analytiques.
Infinitely many asymptotic values of locally univalent meromorphic functions.
Inner Functions and Boundary Values in H... (...) and A (...) in Smoothly Bounded Pseudoconvex Domains.
Inner -th Carathéodory-Reiffen completeness of Reinhardt domains
A description of bounded pseudoconvex Reinhardt domains, which are complete with respect to the inner -th Carathéodory-Reiffen distance, is given.
Integral closure of in via the Puiseux theorem.
Integral Formulas for the ... ....-Equation and Zeros of Bounded Holomorphic Functions in the Unit Ball.
Integral formulas for the -equation on complex projective algebraic manifolds
Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.
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 -variable positive real functions
Integral representations and coherent states.
Integral representations for some weighted classes of functions holomorphic in matrix domains
In 1945 the first author introduced the classes , 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 : (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 , where: 1) , ; 2) Ω is the matrix domain consisting of those complex m...