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Convergence and Summability of Fourier Transforms and Hardy Spaces

This book investigates the convergence and summability of both one-dimensional and multi-dimensional Fourier transforms, as well as the;

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An Introductory Course in Summability Theory

of Fourier expansions in Banach spaces by different matrix methods Matrix transforms of summability domains of regular perfect matrix methods are;

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Lebesgue Points and Summability of Higher Dimensional Fourier Series

This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on;

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Course In Analysis, A - Vol. Iv

In the part on Fourier analysis, we discuss pointwise convergence results, summability methods and, of course, convergence in the quadratic;

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Course In Analysis, A - Vol. Iv

In the part on Fourier analysis, we discuss pointwise convergence results, summability methods and, of course, convergence in the quadratic;

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Advances in Summability and Approximation Theory

operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems;

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Distributions, Fourier Transforms And Some Of Their Applications To Physics

emphasis on Hilbert spaces. The author explains how linear differential operators and Fourier transforms naturally fit into this frame, a point;

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Tauberian Theory

Tauberian theory compares summability methods for series and integrals, helps to decide when there is convergence, and provides asymptotic;

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From Vector Spaces to Functional Analysis

spaces and distributions, Fourier and Laplace analyses, and Hardy spaces.;

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Representation Theorems in Hardy Spaces

The theory of Hardy spaces has close connections to many branches of mathematics including Fourier analysis, harmonic analysis, singular;

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Representation Theorems in Hardy Spaces

The theory of Hardy spaces has close connections to many branches of mathematics including Fourier analysis, harmonic analysis, singular;

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Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series

This book discusses, develops and applies the theory of Vilenkin-Fourier series connected to modern harmonic analysis. The classical;

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Fourier Transforms and Approximations

compact support and Fourier transforms of rapidly decreasing functions (on whole line). The focus is on the behaviour of Fourier transforms in the;

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Fourier Analysis on Groups

overview of the basic theorems of Fourier analysis and the structure of locally compact Abelian groups. Subsequent chapters explore idempotent;

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Fourier Series

the Fourier series in Hilbert space as well as their convergence and summability. The authors provide an in-depth look at the applications;

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Hardy Spaces

classical results on Hardy spaces and applies them to fundamental concrete problems in analysis. The results are illustrated with numerous solved;

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Fourier Analysis

trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting;

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Infinite Series

of infinite series, followed by a relatively complete exposition of the basic properties of Taylor series and Fourier series. Additional subjects;

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Sequence Spaces and Summability over Valued Fields

Sequence spaces and summability over valued fields is a research book aimed at research scholars, graduate students and teachers with an;

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An Introduction to Fourier Analysis

This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields;

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An Introduction to Fourier Analysis

This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields;

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Bochner-riesz Means On Euclidean Spaces

This book mainly deals with the Bochner-Riesz means of multiple Fourier integral and series on Euclidean spaces. It aims to give a;

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An Introduction to Singular Integrals

acquaintance with measure and integration theory, and familiarity with the Fourier transform in Euclidean spaces.;

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Fast Fourier Transforms

This new edition of an indispensable text provides a clear treatment of Fourier Series, Fourier Transforms, and FFTs. The unique software;

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Sequence Spaces

Presents Sequence Spaces, their properties and Summability methods, which provides the foundation of every course in analysis;

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Fourier and Laplace Transforms

This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms;

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Fourier and Laplace Transforms

This textbook presents in a unified manner the fundamentals of both continuous and discrete versions of the Fourier and Laplace transforms;

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