Results 161 to 170 of about 11,045 (223)

Boundary Values of Holomorphic Functions and Analytic Functionals

1995
The Schwarz Reflection Principle leads naturally to the consideration of boundary values of holomorphic functions. Those boundary values can exist pointwise, almost everywhere, or in some generalized sense, for instance, in the sense of distributions, as in the Edge-of-the-Wedge Theorem (see [BG, Theorem 3.6.23], [Beur]).
Carlos A. Berenstein, Roger Gay
openaire   +1 more source

Compact weighted composition operators on spaces of holomorphic functions on Banach spaces

Journal of operator theory, 2023
Given an infinite dimensional Banach space X and its open unit ball B, we study when the weighted composition operator Cψ,φ is compact in the space of all bounded analytic functions H∞(B), and when it is bounded, reflexive, Montel and (weakly) compact in
José Bonet, David Jornet, Daniel Santacreu, Pablo Sevilla-Peris   +3 more
semanticscholar   +1 more source

Complete norm-preserving extensions of holomorphic functions

Israel Journal of Mathematics, 2022
We show that for every connected analytic subvariety V there is a pseudoconvex set Ω such that every bounded matrix-valued holomorphic function on V extends isometrically to Ω.
J. Agler, Łukasz Kosiński, John E. McCarthy   +2 more
semanticscholar   +1 more source

Second analytic wave front set and boundary values of holomorphic functions

Applicable Analysis, 1987
This paper is devoted to the study of the second analytic wave front set of boundary values of holomorphic functions. After establishing an expression of hyperfunctions without second analytic support, we give an upper bound of the second analytic wave front set of boundary values.
P. Esser, P. Laubin
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Incompressibility Estimates for the Laughlin Phase, Part II

, 2014
We consider fractional quantum Hall states built on Laughlin’s original N-body wave-functions, i.e., they are of the form holomorphic × Gaussian and vanish when two particles come close, with a given polynomial rate.
N. Rougerie, J. Yngvason
semanticscholar   +1 more source

Analytic Description of the Spaces Dual to Spaces of Holomorphic Functions of Given Growth on Carathéodory Domains

Mathematical Notes, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abanin, A. V., Andreeva, T. M.
openaire   +2 more sources

Discrete Holomorphicity at Two-Dimensional Critical Points

, 2009
After a brief review of the historical role of analyticity in the study of critical phenomena, an account is given of recent discoveries of discretely holomorphic observables in critical two-dimensional lattice models. These are objects whose correlation
J. Cardy
semanticscholar   +1 more source

Estimates of Level Sets of Holomorphic Functions and Applications to the Weighted Log Canonical Thresholds

Journal of Geometric Analysis, 2020
L. M. Hai, Phạm Hoàng Hiệp, Trinh Tung   +2 more
semanticscholar   +2 more sources

An Algebraic Criterion for Right-Left Equivalence of Holomorphic Functions on Analytic Varieties

Bulletin of the London Mathematical Society, 1989
Es werden Ergebnisse aus \textit{S. S.-T. Yau}, Proc. Symp. Pure Math. 41, 291--297 (1984; Zbl 0558.32001), verallgemeinert auf holomorphe Funktionen auf reduzierten analytischen Mengenkeimen \((X,0)\subset (\mathbb{C}^ n,0)\). Bezeichnet \(\mathcal I(X)_ 0\subset \mathcal O_{n,0}\) das Verschwindungsideal in \(\mathcal O_{n,0}\), \(\mathcal R(X ...
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ANALOGS OF DZYADYK'S THEOREM ON HOLOMORPHICITY FOR REAL ANALYTIC FUNCTIONS

Analogs of Dzyadyk’s classical theorem on the geometric description of holomorphic functions are considered. The case is investigated when the functions are real analytic in the domain, and the equality of areas is assumed only over all closed unit squares contained in the domain under consideration.Keywords: holomorphicity, Dziadyk’s theorem, Pompeius
Volchkov, V. V., Timofeeva, K.V.
openaire   +1 more source