相关论文: Some topics in complex and harmonic analysis, 5
These notes briefly consider convolutions of tempered distributions with functions in the Schwartz class.
These notes briefly discuss finite-dimensional algebras with involutions, self-adjoint elements, and so on.
These informal notes briefly discuss some basic topics in harmonic analysis along the lines of convolutions and Fourier transforms.
These notes are concerned with the Schwartz class of rapidly decreasing smooth functions on R^n, Fourier transforms, etc.
These notes briefly discuss Fourier transforms of finite measures and extensions of Fourier integrals to points in complex domains.
These informal notes consider Fourier transforms on a simple class of nice functions and some basic properties of the Fourier transform.
These notes are connected to a "potpourri" topics class and deal with some basic issues involving norms and convexity.
These notes deal with some topics related to limits of norms, functions on the unit circle, and so on.
These notes are concerned with Abel sums and connections with analytic extensions of Fourier integrals.
These notes deal with algebras equipped with an involution and related matters.
These informal notes concern some basic themes of harmonic analysis related to representations of groups.
A generalization of the Chu-Vandermonde convolution is presented and proved with the integral representation method. This identity can be transformed into another identity, which has as special cases two known identities. Another identity…
The aim of this short note is to show how can be derived from the properties of fundamental interpolation polynomials some nice identities.
These notes briefly consider some aspects of the Schwartz class of rapidly decreasing smooth functions, tempered distributions, and harmonic functions of polynomial growth.
Given any two sequences of complex numbers, we establish simple relations between their binomial convolution and the binomial convolution of their individual binomial transforms. We employ these relations to derive new identities involving…
These informal notes deal with a number of questions related to sums and integrals in analysis.
In the present paper, we discuss several basic properties of a class of quasiconformal close-to-convex harmonic mappings with starlike analytic part, such results as coefficient inequalities, an integral representation, a growth theorem, an…
These notes are connected to a "potpourri" topics class and deal with some special cases of norms of various objects which arise in classical analysis.
The aim of this paper is to investigate some properties, recurrence relations and identities involving degenerate hyperharmonic numbers, hyperharmonic numbers and degenerate harmonic numbers. In particular, we derive an explicit expression…
We consider a special class of binomial sums involving harmonic numbers and we prove three identities by using the elementary method of the partial fraction decomposition. Some applications to infinite series and congruences are given.