Zobrazeno 1 - 10
of 90
pro vyhledávání: '"32A17"'
Autor:
Peterson, Carsten
Let $\mathfrak{p} \subset V$ be a polytope and $\xi \in V_{\mathbb{C}}^*$. We obtain an expression for $I(\mathfrak{p}; \alpha) := \int_{\mathfrak{p}} e^{\langle \alpha, x \rangle} dx$ as a sum of meromorphic functions in $\alpha \in V^*_{\mathbb{C}}
Externí odkaz:
http://arxiv.org/abs/2409.09544
The main aim of this paper is to study the $n$-dimensional Bohr radius for holomophic functions defined on Reinhardt domain in $\mathbb{C}^n$ with positive real part. The present investigation is motivated by the work of Lev Aizenberg [Proc. Amer. Ma
Externí odkaz:
http://arxiv.org/abs/2309.15550
Autor:
Dmytryshyn, Roman, Sharyn, Serhii
The paper deals with the problem of approximating the functions of several variables by branched continued fractions, in particular, multidimensional A- and J-fractions with independent variables. A generalization of Gragg's algorithm is constructed
Externí odkaz:
http://arxiv.org/abs/2303.13136
Autor:
Patel, S. R.
We establish an equivalency of the Corona problem (1962) and Gleason problem (1964) in the theory of several complex variables. As an application, we give an affirmative solution of the Corona problem for certain bounded pseudoconvex domains or polyd
Externí odkaz:
http://arxiv.org/abs/2302.03433
Autor:
Bhowmik, Mainak, Kumar, Poornendu
Inner functions are the backbone of holomorphic function theory. This paper studies the inner functions on quotient domains of the open unit polydisc, $\bD^d$, arising from the group action of finite pseudo-reflection groups. Such quotient domains ar
Externí odkaz:
http://arxiv.org/abs/2208.07569
Autor:
Chuaqui, Martin, Hernández, Rodrigo
We study classes of locally biholomorphic mappings defined in the $\P$ that have bounded Schwarzian operator in the Bergman metric. We establish important properties of specific solutions of the associated system of differential equations and show a
Externí odkaz:
http://arxiv.org/abs/2208.06934
Autor:
Schott, Josua
It is shown that any symplectic $2n\times 2n$-matrix, whose entries are complex holomorphic functions on a reduced Stein space, can be decomposed into a finite product of elementary symplectic matrices if and only if it is null-homotopic. Moreover, i
Externí odkaz:
http://arxiv.org/abs/2207.05389
This article determines the exact asymptotic value of the Bohr radii and the arithmetic Bohr radii for the holomorphic functions defined on the unit ball of the $\ell_p^n$ space and having values in the simply connected domain of $\mathbb{C}$. Moreov
Externí odkaz:
http://arxiv.org/abs/2205.07111
We study the link between pseudo-differential operators and Wick operators via the Bargmann transform. We deduce a formula for the symbol of the Wick operator in terms of the short-time Fourier transform of the Weyl symbol. This gives characterizatio
Externí odkaz:
http://arxiv.org/abs/2011.00313
Autor:
Patel, S. R.
In 1952, Michael posed a question about the functional continuity of commutative Frechet algebras in his memoir, known as Michael problem in the literature. We settle this in the affirmative along with its various equivalent forms, even for the non-c
Externí odkaz:
http://arxiv.org/abs/2006.11134