Results 11 to 20 of about 13,660,663 (362)
Geometrical Theory of Analytic Functions
Mathematics, 2022 This Special Issue, devoted to the topic of the “Geometric Theory of Analytic Functions”, aims to bring together the newest research achievements of scholars studying the complex-valued functions of one variable [...]
Georgia Irina Oros
doaj +1 more source
Generalized Analytic Functions [PDF]
Transactions of the American Mathematical Society, 1956 algebra; the group r becomes the boundary of the disc, and all functions take their maximum modulus on r. For interior points r of the disc, there is a measure on r such that the value at r is given by an integral of the boundary values. This "Poisson integral" is studied in detail, and it is shown that one of these "generalized holomorphic" functionsf
Arens, Richard, Singer, I. M.
openaire +2 more sources
Mathematics, 2020 First, by making use of the concept of basic (or q-) calculus, as well as the principle of subordination between analytic functions, generalization Rq(h) of the class R(h) of analytic functions, which are associated with the leaf-like domain in the open ...
B. Khan +5 more
semanticscholar +1 more source
Restrictions of analytic functions. I [PDF]
Proceedings of the American Mathematical Society, 1975 An isometric expansion is derived which recaptures any H 2 {H^2} function from a restriction of its boundary function to a Borel set.
Rosenblum, Marvin, Rovnyak, James
openaire +3 more sources
Applications of Borel Distribution Series on Analytic Functions
, 2020 The purpose of the present paper is to determine the necessary and sufficient conditions for the power series whose coefficients are probabilities of the Borel distribution to be in the family of analytic functions which defined in the open unit disk. We
A. Wanas, J. A. Khuttar
semanticscholar +1 more source
Archive for Mathematical Logic, 2016 We introduce the notion of $R$-analytic functions. These are definable in an o-minimal expansion of a real closed field $R$ and are locally the restriction of a $K$-differentiable function (defined by Peterzil and Starchenko) where $K=R[\sqrt{-1}]$ is the algebraic closure of $R$.
openaire +3 more sources
Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball [PDF]
Transactions of the American Mathematical Society, 2017 We study algebras of bounded, noncommutative (nc) analytic functions on nc subvarieties of the nc unit ball. Given a nc variety $\mathfrak{V}$ in the nc unit ball $\mathfrak{B}_d$, we identify the algebra of bounded analytic functions on $\mathfrak{V}$ --
Guy Salomon, O. Shalit, E. Shamovich
semanticscholar +1 more source
Analytic cell decomposition and analytic motivic integration [PDF]
, 2005 The main results of this paper are a Cell Decomposition Theorem for Henselian valued fields with analytic structure in an analytic Denef-Pas language, and its application to analytic motivic integrals and analytic integrals over $\FF_q((t))$ of big ...
Cluckers, R., Lipshitz, L., Robinson, Z.
core +3 more sources
Commuting analytic functions [PDF]
Transactions of the American Mathematical Society, 1984 Let f f and g g (not conformal automorphisms of the unit disk) be analytic mappings of the unit disk into itself. We say f f and g g commute if f ∘ g = g ∘ f f \circ g = g \circ f .
openaire +2 more sources
Motivic-type Invariants of Blow-analytic Equivalence [PDF]
, 2002 To a given analytic function germ $f:(\mathbb{R}^d,0) \to (\mathbb{R},0)$, we associate zeta functions $Z_{f,+}$, $Z_{f,-} \in \mathbb{Z} [[T]]$, defined analogously to the motivic zeta functions of Denef and Loeser.
Koike, Satoshi, Parusinski, Adam
core +3 more sources