Results 121 to 130 of about 10,326,050 (296)

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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Holomorphic functions with values in locally convex spaces and applications to integral formulas [PDF]

, 1964
Lutz Bungart
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Some properties of a class of holomorphic functions associated with tangent function

Demonstratio Mathematica
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar, Mashwani Wali Khan, Salleh Zabidin, Tchier Fairouz, Khan Bilal, Malik Sarfraz Nawaz   +5 more
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Symmetric representations of holomorphic functions

Issues of Analysis, 2018
In this article a class of symmetric functions is defined and used in some special representation of holomorphic functions. This representation plays an important role in transitions from concrete problems of projective description to equivalent problems of inductive description and finds multiple applications in questions connected with spectral ...
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Holomorphic functions on subsets of ${\Bbb C}$

Journal of the Mathematical Society of Japan, 2013
Let $ $ be a $C^\infty $ curve in $\Bbb{C}$ containing 0; it becomes $ _ $ after rotation by angle $ $ about 0. Suppose a $C^\infty $ function $f$ can be extended holomorphically to a neighborhood of each element of the family $\{ _ \}$. We prove that under some conditions on $ $ the function $f$ is necessarily holomorphic in a neighborhood of ...
Fridman, Buma L., Ma, Daowei
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Uniform approximations by holomorphic functions

Journal of Soviet Mathematics, 1975
AbstractThis article gives a survey of the study of uniform approximation by holomorphic functions on compact sets in spaces of one or more complex variables during the last two decades.
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ELEMENTARY SOLUTIONS OF A HOMOGENEOUS Q-SIDED CONVOLUTION EQUATION

Проблемы анализа, 2018
Spectral synthesis on the complex plane related to solutions of some homogeneous equations of convolution type. There is a method to obtain solutions: we describe the elementary solutions set of the equation (spectral analysis) and prove the ...
Tatarkin A . A ., Saranchuk U . S .   +1 more
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Construction of a Schauder basis in some spaces of holomorphic functions in the unit disc [PDF]

, 1966
Edwin J. Akutowicz
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Holomorphic Convexity for General Function Algebras [PDF]

, 1968
C. E. Rickart
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Multiply Universal Holomorphic Functions

Journal of Approximation Theory, 1997
AbstractLet O⊂C, O≠C, be an open set with simply connected components. In Theorem 1 we prove the existence of a holomorphic functionφon O, which has together with all its derivatives and all its antiderivatives six universal properties at the same time (based on the behaviour of sequences of derivatives or antiderivatives, overconvergence-phenomena, or
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