entire functions of several variablesWe give a general construction of entire functions in d complex variables that vanish on a lattice of the form for an invertible complex-valued matrix. As an application, we exhibit a class of lattices of density >1 that fail to be a sampling set for ...
Function theory in several complex variables 西野, 利雄,Levenberg, Norman,山口, 博史 - American Mathemat... - 0 - 被引量: 755 Entire functions of several variables of bounded index Bandura, Andriy,Skaskiv, Oleh - 《Mathematics》 - 2015 - 被引量: 21 Functions of finite 饾渾-type in ...
A space of entire functions of several complex variables rapidly decreasing on ${\mathbb R}^n$ and such that their growth along $i{\mathbb R}^n$ is majorized with a help of a family of weight functions is considered in the paper. For this space an equivalent description in terms of es...
These functions and the logarithms of the first two belong to the class U (see Property 6.1.2); so, the results of Chapter 6 are applicable. For instance, the growth scales for the classes M n and N n x considered in that chapter are also growth scales for the corresponding classes ...
A space of entire functions of several complex variables rapidly decreasing on ${\mathbb R}^n$ and such that their growth along $i{\mathbb R}^n$ is majorized with a help of a family of weight functions is considered in the paper. For this space an equivalent description in terms of es...
Two related extremal problems for entire functions of several variables We establish a relationship between the Logan problem for functions whose Fourier transform is supported in a centrally symmetric convex closed subset of ... EE Berdysheva - 《Mathematical Notes》 被引量: 35发表: 1999年...
The study of the zeros of functions of several complex variables recently reported is applied to scalar scattered wavefields. First, an analysis of the rol... Nieto-Vesperinas,M. - 《Journal of Mathematical Physics》 被引量: 13发表: 1984年 SOME QUESTIONS ON THE DISTRIBUTION OF ZEROS OF ENT...
We study the integral representation of solutions to the Cauchy problem for a differential equation with constant coefficients. The Cauchy data and the right-hand of the equation are given by entire functions on a complex hyperplane of $ℂ^{n+1}$. The Borel transformation of power series and...
Annals of Mathematics Studies(共105册),这套丛书还有 《Exponential Sums and Differential Equations》《Twisted L-Functions and Monodromy》《Combinatorics of Train Tracks》《Order-Preserving Maps and Integration Processes》《Contributions to the Theory of Nonlinear Oscillations》等。 我来说两句 短评 ··...
On the order of an entire function of several complex variables represented by multiple Dirichlet series The author obtains some special relations between the orders of entire functions of n complex variables represented by multiple Dirichlet series by taking asymptotic behaviour in their coefficients. Th...