Characterization of real entire functions by means of their stationary values

1991 ◽  
Vol 56 (3) ◽  
pp. 278-280
Author(s):  
Gundorph K. Kristiansen
Keyword(s):  
Entire Functions

scholarly journals Generalized Order and Best Approximation of Entire Function in -Norm

2010 ◽  
Vol 2010 ◽  
pp. 1-15 ◽  
Author(s):  
Mohammed Harfaoui
Keyword(s):  
Entire Function ◽  
Polynomial Approximation ◽  
Best Approximation ◽  
Extremal Function ◽  
Entire Functions ◽  
Complex Variables ◽  
Several Complex Variables ◽  
Best Polynomial Approximation ◽  
Growth Of Entire Functions

The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation on a compact with respect to the set , where is the Siciak extremal function of a -regular compact .

scholarly journals NECESSARY CONDITIONS FOR VECTOR-VALUED OPERATOR INEQUALITIES IN HARMONIC ANALYSIS

2006 ◽  
Vol 93 (2) ◽  
pp. 447-473 ◽  
Author(s):  
MICHAEL CHRIST ◽  
ANDREAS SEEGER
Keyword(s):  
Harmonic Analysis ◽  
Necessary Conditions ◽  
Entire Functions ◽  
Square Functions ◽  
Operator Inequalities ◽  
Functions Of Exponential Type ◽  
Random Construction ◽  
Families Of Operators ◽  
Vector Valued

Via a random construction we establish necessary conditions for $L^p (\ell^q)$ inequalities for certain families of operators arising in harmonic analysis. In particular, we consider dilates of a convolution kernel with compactly supported Fourier transform, vector maximal functions acting on classes of entire functions of exponential type, and a characterization of Sobolev spaces by square functions and pointwise moduli of smoothness.

On a Characterization of Maximal Ideals

1970 ◽  
Vol 13 (2) ◽  
pp. 219-220
Author(s):  
Jamil A. Siddiqi
Keyword(s):  
Banach Algebra ◽  
Maximal Ideal ◽  
Analytic Functions ◽  
Entire Functions ◽  
Factorization Theorem ◽  
Codimension One ◽  
Complex Banach Algebra ◽  
Maximal Ideals ◽  
Invertible Elements

Let A be a commutative complex Banach algebra with identity e. Gleason [1] (cf. also Kahane and Żelazko [2]) has given the following characterization of maximal ideals in A.Theorem. A subspace X ⊂ A of codimension one is a maximal ideal in A if and only if it consists of non-invertible elements.The proofs given by Gleason and by Kahane and Żelazko are both based on the use of Hadamard's factorization theorem for entire functions. In this note we show that this can be avoided by using elementary properties of analytic functions.

A Characterization of Totally Real Carleman Sets and an Application to Products of Stratified Totally Real Sets

2016 ◽  
Vol 118 (2) ◽  
pp. 285 ◽  
Author(s):  
Benedikt S. Magnusson ◽  
Erlend Fornæss Wold
Keyword(s):  
Entire Functions ◽  
Carleman Approximation ◽  
Totally Real

We give a characterization of stratified totally real sets that admit Carleman approximation by entire functions. As an application we show that the product of two stratified totally real Carleman sets is a Carleman set.

scholarly journals A characterization of entire functions ∑k = 0∞ akzk with all ak ⩾ 0

1975 ◽  
Vol 15 (1) ◽  
pp. 83-84 ◽  
Author(s):  
A.R Reddy ◽  
O Shisha
Keyword(s):  
Entire Functions

Geometric Characterization of Interpolating Varieties for the (FN)-Space A0p of Entire Functions

1995 ◽  
Vol 47 (1) ◽  
pp. 28-43 ◽  
Author(s):  
Carlos A. Berenstein ◽  
Bao Qin Li ◽  
Alekos Vidras
Keyword(s):  
Entire Functions ◽  
Density Theorem ◽  
Geometric Characterization ◽  
Necessary And Sufficient

AbstractA necessary and sufficient geometric characterization and a necessary and sufficient analytic characterization of interpolating varieties for the space of entire functions will be obtained in the paper, which as an application will also give a generalization of the well-known Pólya-Levinson density theorem.

scholarly journals Best linear approximation and coefficients characterization of entire functions in doubly connected domains

Filomat ◽  
2019 ◽  
Vol 33 (15) ◽  
pp. 4827-4835
Author(s):  
Rifaqat Ali ◽  
Devendra Kumar ◽  
Mohamed Altanji
Keyword(s):  
Entire Function ◽  
Linear Approximation ◽  
Entire Functions ◽  
Growth Parameters ◽  
Series Expansions ◽  
Faber Series ◽  
Approximation Errors ◽  
Order And Type

In the present paper, we established the relations between growth parameters order and type in terms of coefficients occurring in generalized Faber series expansions of entire function and corresponding best linear approximation errors in supnorm in doubly connected domains.

scholarly journals Characterization of continuous endomorphisms of the space of entire functions of a given order

2020 ◽  
pp. 1-12
Author(s):  
Takashi Aoki ◽  
Ryuichi Ishimura ◽  
Yasunori Okada ◽  
Daniele C. Struppa ◽  
Shofu Uchida
Keyword(s):  
Entire Functions
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