Frequently hypercyclic weighted backward shifts on spaces of real analyticfunctions [PDF]
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: We study frequent hypercyclicity in the case of weighted backward shift operators acting on locally convex spaces of real analytic functions. We obtain certain conditions on frequent hypercyclicity and linear chaoticity of these operators using dynamical transference principles and the frequent hypercyclicity criterion.
Anahtarcı, Berkay, Karıksız, Can Deha
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Classifying spaces of degenerating mixed Hodge structures, VI: Log real analytic functions and log C∞ functions [PDF]
Classifying spaces of degenerating mixed Hodge structures, VI: Log real analytic functions and log C∞ functionsTo advance our log Hodge theory, we introduce log real analytic functions and log C∞ functions, define how to integrate them, and prove the log Poincaré lemma. We give better understandings of the degeneration of Hodge structure, including a geometric interpretation of the theory of SL(2)-orbits. Contents §0. Introduction §1.
Kato, Kazuya +2 more
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Continuous linear right inverses for convolution operators in spaces of real analytic functions [PDF]
Studia Mathematica, 1994 The author characterizes the convolution operators \(T_ \mu = \mu^*\) on real analytic functions which admit a continuous linear right inverse, by means of the zeros of the Fourier transform \(\widehat \mu\) of \(\mu\).
Langenbruch, Michael
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REAL ANALYTIC FUNCTIONS WITH ISOLATED ZEROES ON DOMAINS OF TOPOLOGICAL VECTOR SPACES [PDF]
REAL ANALYTIC FUNCTIONS WITH ISOLATED ZEROES ON DOMAINS OF TOPOLOGICAL VECTOR SPACESapplication/pdf Here we show that for every open subset ＄U＄ of every Frechet space ＄V＄ without any continuous norm there is no real analytic function on ＄U＄ with an isolated zero. We prove the same result for a certain Banach space ＄V＄ . We also prove an extension theorem for real analytic functions.
Ballico, E.
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Some inequalities for convex functions of selfadjoint operators in Hilbert spaces [PDF]
, 2008 Some inequalities for convex functions of selfadjoint operators in Hilbert spaces under suitable assumptions for the involved operators are given.
Sever S. Dragomir +2 more
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Spaces of Vector Valued Real Analytic Functions [PDF]
Transactions of the American Mathematical Society, 1964 In this paper we study the spaces of weakly and strongly analytic functions with values in a locally convex topological vector space F and we look for conditions on F such that these two spaces (which are different in general) should coincide. In the case of vector valued C' functions and of vector valued holomorphic functions, Grothendieck proved (cf.
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Analytic sets of reals and the density function in the Cantor space [PDF]
European Journal of Mathematics, 2018 31 pages.
A. Andretta, R. Camerlo
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Weighted Banach spaces of analytic functions with sup-norms and operators between them: a survey [PDF]
, 2022 [EN] In this survey we report about recent work on weighted Banach spaces of analytic functions on the unit disc and on the whole complex plane defined with sup-norms and operators between them.
Bonet Solves, José Antonio
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Topics in Global Real Analytic Geometry
, 2022 In the first two chapters we review the theory developped by Cartan, Whitney and Tognoli. Then Nullstellensatz is proved both for Stein algebras and for the algebra of real analytic functions on a C-analytic space.
Acquistapace, Francesca +2 more
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Weighted composition operators on Korenblum type spaces of analytic functions [PDF]
, 2020 [EN] We investigate the continuity, compactness and invertibility of weighted composition operators W-psi,W-phi: f -> psi(f circle phi) when they act on the classical Korenblum space A(-infinity) and other related Frechet or (LB)-spaces of analytic ...
Gomez-Orts, Esther
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