Results 91 to 100 of about 2,712,853 (214)

Bounded Subsets of Classes MpX of Holomorphic Functions

Journal of Function Spaces, 2017
Some characterizations of boundedness in Mp(X) will be described, where Mp(X ...
Yasuo Iida
doaj   +1 more source

The Fuchsian Cauchy problem

Electronic Journal of Differential Equations, 2009
This article presents a global version of the main theorem by Baouendi and Goulaouic cite{bago}, in the space of differentiable functions with respect to Fuchsian variable, and holomorphic with respect to other variables.
Malika Belarbi, Mustapha Mechab
doaj  

On the [Epsilon]-discrete holomorphic deformations of holomorphic functions

, 2006
In this thesis, we study a special type of functions called ε-discrete holomorphic functions, which are complex-valued functions that satisfy a difference equation on the complex plane for ε > 0:f(z)+if(z+ε)+i2f(z+ε+εi)+i3f(z+εi)=0.This equation can ...
Wong, Tsz Wai
core  

Linearizing holomorphic functions on operator spaces [PDF]

We introduce a notion of completely bounded holomorphic functions defined on the open unit ball of an operator space. We endow the set of these functions with an operator space structure, and in the scalar-valued case we identify an operator space ...
Dimant, Verónica, Chávez-Domínguez, Javier Alejandro   +1 more
core   +1 more source

Strictly diagonal holomorphic functions on Banach spaces

Karpatsʹkì Matematičnì Publìkacìï, 2015
In this paper we investigate the boundedness of holomorphic functionals on a Banach space with a normalized basis $\{e_n\}$ which have a very special form $f(x)=f(0)+\sum_{n=1}^\infty c_nx_n^n$ and which we call strictly diagonal. We consider under which
O.I. Fedak, A.V. Zagorodnyuk
doaj   +1 more source

Axial monogenic functions from holomorphic-functions

, 1993
Monogenic functions with axial symmetry are closely related to holomorphic functions of a single complex variable and recently generalisations of the exponential function, power functions, and Hermite polynomials have been discussed in some detail.
Common, Alan K., Sommen, Franciscus, COMMON, AK, Common, A.K., Sommen, F.   +4 more
core   +1 more source

Mean value theorem for holomorphic functions

Electronic Journal of Differential Equations, 2012
This article presents a generalization of Myers' theorem and when the boundary assumption f'(a)=f'(b) is removed, and to prove this result for holomorphic functions of one complex variable.
Devrim Cakmak, Aydin Tiryaki
doaj  

Universal modular properties of generalized Gibbs ensembles and chiral deformations

Journal of High Energy Physics
We study modular properties of conformal field theories perturbed by holomorphic fields. We prove an asymptotic formula for the modular S-transform of a generalized partition function that includes zero modes of higher spin holomorphic currents.
Sujay K. Ashok, Tanmoy Sengupta, Adarsh Sudhakar, Gérard M. T. Watts   +3 more
doaj   +1 more source

ON THE HYPERGEOMETRIC FUNCTION AND FAMILIES OF HOLOMORPHIC FUNCTIONS

Revue Roumaine Mathematiques Pures Appliquees
In this work, we examine one two-parameter family of sets consisting of functions holomorphic in the unit disk, previously investigated by several mathematicians. We focus on the set-theoretic properties of this family, identify the general form of filtrations within it, and discover that it is not a lattice.
Elin, Mark, Jacobzon, Fiana
openaire   +3 more sources

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.
openaire   +2 more sources