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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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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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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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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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From Euclidean to Hilbert Spaces - Introduction to Functional Analysis and its Applications

Hilbert spaces the infinite-dimensional objects most closely related to Euclidian spaces. The common thread of this book is the Fourier;

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Course In Analysis, A - Vol. Iv

mean of Fourier series. More advanced topics include a first discussion of Hardy spaces. We also spend some time handling general orthogonal;

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Course In Analysis, A - Vol. Iv

mean of Fourier series. More advanced topics include a first discussion of Hardy spaces. We also spend some time handling general orthogonal;

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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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Fourier Series And Optical Transform Techniques In Contemporary Optics

to anyone seeking an understanding of Fourier series and Fourier transforms of one--and two--dimensional structures.;

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Fourier Analysis And Its Applications

-dimensional Fourier analysis, topics which one usually does not find in books at this level. A variety of worked examples and exercises will help the;

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Introduction to Fourier Analysis and Wavelets

real line. It begins with a thorough treatment of Fourier series on the circle and their applications to approximation theory, probability, and;

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Fourier Series in Several Variables with Applications to Partial Differential Equations

multiple Fourier series and number theory. The book first presents four summability methods used in studying multiple Fourier series;

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Fourier Series in Several Variables with Applications to Partial Differential Equations

multiple Fourier series and number theory. The book first presents four summability methods used in studying multiple Fourier series;

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From Vector Spaces to Functional Analysis

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

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Sequence Spaces

of view in one volume, e.g. their topological properties, geometry and summability, fuzzy valued study and more. This book presents the;

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Advances in Summability and Approximation Theory

range of mathematicians whose research areas include summability and approximation theory. One of the most active areas of research;

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London Mathematical Society Lecture Note Series

This exposition of research on the martingale and analytic inequalities associated with Hardy spaces and functions of bounded mean;

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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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Sequence Spaces

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

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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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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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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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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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Fourier Series and Numerical Methods for Partial Differential Equations

working with the book's one- and multi-dimensional problems. Fourier Series and Numerical Methods for Partial Differential Equations is an ideal;

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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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A Panorama of Harmonic Analysis

Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean;

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