The decomposition of Walsh and Fourier series

DOI10.1090/memo/0015zbMath0067.04102OpenAlexW2016077018MaRDI QIDQ3227697

I. I. jun. Hirschman

Publication date: 1955

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0015

zbMATH Keywords

approximation and series expansion

Related Items

Fast decreasing polynomials via potentials, Norm inequalities for some orthogonal series, Dual equations involving convolution transforms of generalized functions, Discrete analogue of a theorem of Littlewood-Paley, On the decomposition theorems of Fourier transforms with weighted norms, On weighted transplantation and multipliers for Laguerre expansions, Results on Weighted Norm Inequalities for Multipliers, Parseval–Goldstein type identities involving the ℒ₄-transform and the 𝒫₄-transform and their applications, Rational approximation to functions like \(x^{\alpha}\) in integral norms, Classical Expansions and Their Relation to Conjugate Harmonic Functions, On generalized Walsh Fourier series, I, Wavelets in weighted norm spaces, Positive convolution operators and lipschitz classes, Observability and determination of surface temperature Part 1, Convolution structures associated with orthogonal polynomials, On multiplier transformations, The weierstrass transform and an isometry in the heat equation, Inversion of the laplace transform via post—widder formula, On generalized gamma and generalized negative binomial convolutions. Part I, On the infinite divisibility of the lognormal distribution, Multiplier criteria of Hörmander type for Fourier series and applications to Jacobi series and Hankel transforms, The method of Cauchy-type integrals in discontinuous boundary value problems of the theory of holomorphic functions of a complex variable, On Weighted Norm Inequalities for the Lusin Area Integral, Sur les multiplicateurs dans \({\mathcal F}L^ p\) avec poids, On decomposition of Walsh Fourier series, The Marcel Riesz Theorem on Conjugate Functions, THE DYNAMIC PISTON PROBLEM IN CLASSICAL NONLINEAR ACOUSTICS, Sharp converse theorem of \(L^ p\)-polynomial approximation, A generalization of the Widder potential transform and applications, Interpolation of Linear Operators, Integral operators related to generalized convolutions for Hankel transform, Über den Graf der Approximation des Identitätsoperators durch Halbgruppen von linearen Operatoren und Anwendungen auf die Theorie der singulären Integrale, On generalized Walsh Fourier series, On a dynamic adaptation of The Distribution Builder approach to investment decisions, Series with respect to the Walsh system and their generalizations, The Fourier transforms of Herz spaces on certain groups, Weighted estimates of singular integrals and their applications, An Elimination Type Two-Stage Procedure for Selecting the Population with the Largest Mean fromkLogistic Populations