Lebesgue Points and Summability of Higher Dimensional Fourier Series - Image 1

£93.41

Birkhauser Lebesgue Points and Summability of Higher Dimensional Fourier Series

Name: Lebesgue Points and Summability of Higher Dimensional Fourier Series
Brand: Birkhauser
Price: 93.41 GBP
Availability: InStock

Functional Analysis

Price History & Forecast

Last 67 days • 67 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 67 days • 1 price levels

Days at Price

Price Analysis

Most common price: £93 (67 days, 100.0%)

Price range: £93 - £93

Price levels: 1 different prices over 67 days

Description

Product Description This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of Lebesgue’s theorem, filling a gap in the literature. Recent results and real-world applications are highlighted as well, making this a timely resource. The book is structured into four chapters, prioritizing clarity throughout. Chapter One covers basic results from the one-dimensional Fourier series, and offers a clear proof of the Lebesgue theorem. In Chapter Two, convergence and boundedness results for the lq-summability are presented. The restricted and unrestricted rectangular summability are provided in Chapter Three, as well as the sufficient and necessary condition for the norm convergence of the rectangular theta-means. Chapter Four then introduces six types of Lebesgue points for higher dimensional functions. Lebesgue Points and Summability of Higher Dimensional Fourier Series will appeal to researchers working in mathematical analysis, particularly those interested in Fourier and harmonic analysis. Researchers in applied fields will also find this useful. From the Back Cover This monograph presents the summability of higher dimensional Fourier series, and generalizes the concept of Lebesgue points. Focusing on Fejér and Cesàro summability, as well as theta-summation, readers will become more familiar with a wide variety of summability methods. Within the theory of higher dimensional summability of Fourier series, the book also provides a much-needed simple proof of Lebesgue’s theorem, filling a gap in the literature. Recent results and real-world applications are highlighted as well, making this a timely resource. The book is structured into four chapters, prioritizing clarity throughout. Chapter One covers basic results from the one-dimensional Fourier series, and offers a clear proof of the Lebesgue theorem. In Chapter Two, convergence and boundedness results for the lq-summability are presented. The restricted and unrestricted rectangular summability are provided in Chapter Three, as well as the sufficient and necessary condition for the norm convergence of the rectangular theta-means. Chapter Four then introduces six types of Lebesgue points for higher dimensional functions. Lebesgue Points and Summability of Higher Dimensional Fourier Series will appeal to researchers working in mathematical analysis, particularly those interested in Fourier and harmonic analysis. Researchers in applied fields will also find this useful.

Product Specifications

Brand: Birkhauser
Format: hardcover
ASIN: 3030746356
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 13 June 2021
Listed Since: 21 March 2021

Barcode

No barcode data available

Birkhauser Lebesgue Points and Summability of Higher Dimensional Fourier Series

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Fourier Analysis: 69 (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

Singular Integrals and Fourier Theory on Lipschitz Boundaries

Introduction to Applied Mathematics: 1 (Texts in Applied Mathematics, 1)

Modulation Spaces: With Applications to Pseudodifferential Operators and Nonlinear Schrödinger Equations (Applied and Numerical Harmonic Analysis)

Landscapes of Time-Frequency Analysis: ATFA 2019 (Applied and Numerical Harmonic Analysis)

Analysis of Operators on Function Spaces: The Serguei Shimorin Memorial Volume (Trends in Mathematics)

Introduction to Pseudodifferential and Fourier Integral Operators: Pseudodifferential Operators (University Series in Mathematics)

Fourier and Fourier-Stieltjes Algebras on Locally Compact Groups (Mathematical Surveys and Monographs)

An Image Processing Tour of College Mathematics (Chapman & Hall/CRC Mathematical and Computational Imaging Sciences Series)

Wavelet Analysis on Local Fields of Positive Characteristic (Indian Statistical Institute Series)

Introduction to Real Analysis (Textbooks in Mathematics)

Mathematical Analysis and its Applications: Roorkee, India, December 2014: 143 (Springer Proceedings in Mathematics & Statistics, 143)

Classical and Multilinear Harmonic Analysis (Cambridge Studies in Advanced Mathematics)

Set-Valued Stochastic Integrals and Applications: 157 (Springer Optimization and Its Applications, 157)

Wavelet Based Approximation Schemes for Singular Integral Equations

Solving Problems in Mathematical Analysis, Part III: Curves and Surfaces, Conditional Extremes, Curvilinear Integrals, Complex Functions, ... Fourier Series (Problem Books in Mathematics)

Advances in Harmonic Analysis and Partial Differential Equations (Trends in Mathematics)

Mathematical Analysis II: 4th Corrected Edition, Moscow, 2002 (Universitext)

Wavelets, Multiscale Systems and Hypercomplex Analysis: 167 (Operator Theory: Advances and Applications, 167)

Parametrized Measures and Variational Principles: 30 (Progress in Nonlinear Differential Equations and Their Applications, 30)

Fourier Analysis and Nonlinear Partial Differential Equations: 343 (Grundlehren der mathematischen Wissenschaften, 343)

Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory (Volume 1): Celebrating Cora Sadosky's life: 4 (Association for Women in Mathematics Series, 4)

Mastering the Discrete Fourier Transform in One, Two or Several Dimensions: Pitfalls and Artifacts: 43 (Computational Imaging and Vision, 43)

Conformable Dynamic Equations on Time Scales