Lipschitz contact equivalence and real analytic functions [PDF]
arXiv, 2018 We study the properties of the a complete invariant of the analytic function of two variables with respect to the Lipschitz contact equivalence. This invariant is called pizza. We prove that the pizza of real analytic functions has some continuity properties.
arxiv
On Local Behavior of Analytic Functions [PDF]
arXiv, 1999 We prove local inequalities for analytic functions defined on a convex body in $\Re^{n}$ which generalize well-known classical inequalities for polynomials.
arxiv
Closure and Connected Component of a Planar Global Semianalytic Set Defined by Analytic Functions Definable in O-minimal Structure [PDF]
Archiv der Mathematik, vol.109 (2017), pp.529-538, 2020 We consider a global semianalytic set defined by real analytic functions definable in an o-minimal structure. When the o-minimal structure is polynomially bounded, we show that the closure of this set is a global semianalytic set defined by definable real analytic functions. We also demonstrate that a connected component of a planar global semianalytic
arxiv
Construction of analytic functions, which determine bounded Toeplitz operators [PDF]
arXiv, 2009 Construction of analytic functions, which determine bounded Toeplitz ...
arxiv
Weighted Big Lipschitz algebras of analytic functions and closed ideals [PDF]
arXiv, 2014 We give the smallest closed ideal with given hull and inner factor for some weighted big Lipschitz algebras of analytic functions.
arxiv
Maximum Principle for Analytic Functions on Open Riemann Surfaces. [PDF]
, 1953 Yukio Kusunoki
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On discrete analytic functions: Products, Rational Functions, and some Associated Reproducing Kernel Hilbert Spaces [PDF]
arXiv, 2012 We introduce a family of discrete analytic functions, called expandable discrete analytic functions, which includes discrete analytic polynomials, and define two products in this family. The first one is defined in a way similar to the Cauchy-Kovalevskaya product of hyperholomorphic functions, and allows us to define rational discrete analytic ...
arxiv
On approximation by euclidean and non-euclidean translations of an analytic function [PDF]
, 1941 W. Seidel, J. L. Walsh
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Weighted composition operators on spaces of analytic vector-valued Lipschitz functions [PDF]
arXiv, 2016 Let {\phi} be an analytic self-map of D and be an analytic operator-valued function on D, where D is the unit disk. We provide necessary and sufficient conditions for the boundedness and compactness of weighted composition operators W_{\psi,\phi} on Lip_A(D;X;\alpha) and lip_A(D;X;{\alpha}), the spaces of analytic X-valued Lipschitz functions f, where ...
arxiv
Problems of the theory of analytic functions in the most recent works [PDF]
, 1949 Franciszek Leja
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