Results 91 to 100 of about 86,055 (204)

Holomorphic generalized functions

Journal of Mathematical Analysis and Applications, 1984
A new theory of generalized functions defined on open subsets of \({\mathbb{R}}^ n\) has been introduced by Colombeau; see his books ''New generalized functions and multiplication of distributions'' (1984; Zbl 0532.46019) and ''Elementary introduction to new generalized functions'' (1985).
Colombeau, J.F, Galé, J.E
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Weighted holomorphic Besov spaces on the polydisk

Journal of Function Spaces and Applications, 2011
This work is an introduction of weighted Besov spaces of holomorphic functions on the polydisk. Let Un be the unit polydisk in Cn and S be the space of functions of regular variation.
Anahit V. Harutyunyan, Wolfgang Lusky
doaj   +1 more source

Exact WKB analysis of ℂℙ1 holomorphic blocks

Journal of High Energy Physics, 2019
We study holomorphic blocks in the three dimensional N $$ \mathcal{N} $$ = 2 gauge theory that describes the ℂℙ1 model. We apply exact WKB methods to analyze the line operator identities associated to the holomorphic blocks and derive the analytic ...
Sujay K. Ashok, P. N. Bala Subramanian, Aditya Bawane, Dharmesh Jain, Dileep P. Jatkar, Arkajyoti Manna   +5 more
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Almost periodic divisors, holomorphic functions, and holomorphic mappings

Bulletin des Sciences Mathématiques, 2003
We prove that to each almost periodic (in the sense of distributions) divisor in a tube one can assign a first Chern class of a special line bundle over Bohr's compact set generated by the divisor such that the trivial cohomology class represents divisors of all almost periodic holomorphic functions on a tube.
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A Normality Criterion for Sharing a Holomorphic Function

Axioms
In this paper, we scrutinize a collection of meromorphic functions known as normal families, prove the theorem that normal families share a holomorphic function, and present several illustrative counterexamples.
Sheng Wang, Xiaojun Huang
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Weighted Vector-Valued Holomorphic Functions on Banach Spaces

Abstract and Applied Analysis, 2013
We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of ...
Enrique Jordá
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From pseudo-holomorphic functions to the associated real manifold

, 2016
This paper studies first the differential inequalities that make it possible to build a global theory of pseudo-holomorphic functions in the case of one or several complex variables.
Esposito, Giampiero, Roychowdhury, Raju
core  

ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR

Advanced Engineering Research, 2006
In the article is given representation of the resolvent  for generalized differential operator  with generating function in the space of holomorphic functions.
A.V. BRATISHCHEV, A.V. MORZHAKOV
doaj  

Eigenfunctions of the Weighted Composition Operators

Journal of Mathematical Extension, 2011
In the present paper, we characterize the eigenfunctions of a weighted composition operator on space of holomorphic function on the unit ...
H. Rezaei
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ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR

Вестник Донского государственного технического университета, 2018
In the article is given representation of the resolvent  for generalized differential operator  with generating function in the space of holomorphic functions.
A.V. BRATISHCHEV, A.V. MORZHAKOV
doaj