Fourier Analysis and Approximation of Functions - pocketboek

ISBN: 9789048166411

In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponen… Meer...

In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type. In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied. The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration theory and elements of Complex Analysis and Operator Theory. Applied mathematicians interested in harmonic analysis and/or numerical methods based on ideas of Approximation Theory are among them. In Chapters 6-11 very recent results are sometimes given in certain directions. Many of these results have never appeared as a book or certain consistent part of a book and can be found only in periodics; looking for them in numerous journals might be quite onerous, thus this book may work as a reference source. The methods used in the book are those of classical analysis, Fourier Analysis in finite-dimensional Euclidean space Diophantine Analysis, and random choice. Books > Mathematics Soft cover, Springer Shop<

ISBN: 9789048166411

InFourier Analysis and Approximation of Functionsbasics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponenti… Meer...

InFourier Analysis and Approximation of Functionsbasics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type.In Chapter 1 which has an introductory nature, theorems on convergence, in that or another sense, of integral operators are given. In Chapter 2 basic properties of simple and multiple Fourier series are discussed, while in Chapter 3 those of Fourier integrals are studied.The first three chapters as well as partially Chapter 4 and classical Wiener, Bochner, Bernstein, Khintchin, and Beurling theorems in Chapter 6 might be interesting and available to all familiar with fundamentals of integration theory and elements of Complex Analysis and Operator Theory. Applied mathematicians interested in harmonic analysis and/or numerical methods based on ideas of Approximation Theory are among them.In Chapters 6-11 very recent results are sometimes given in certain directions. Many of these results have never appeared as a book or certain consistent part of a book and can be found only in periodics; looking for them in numerous journals might be quite onerous, thus this book may work as a reference source.The methods used in the book are those of classical analysis, Fourier Analysis in finite-dimensional Euclidean space Diophantine Analysis, and random choice. Books<

2010

ISBN: 9048166411

gebonden uitgave

Softcover reprint of hardcover 1st ed. 2004 Kartoniert / Broschiert Mathematik, Mathematische Analysis, allgemein, Differentialrechnung und -gleichungen, Integralrechnung und -gleichung… Meer...

Softcover reprint of hardcover 1st ed. 2004 Kartoniert / Broschiert Mathematik, Mathematische Analysis, allgemein, Differentialrechnung und -gleichungen, Integralrechnung und -gleichungen, Fourier transform; Hilbert space; operator theory; bigfin; calculus; Harmonic Analysis, mit Schutzumschlag neu, [PU:Springer Netherlands; Springer Netherland]<

ISBN: 9789048166411

Paperback, [PU: Springer], In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and … Meer...

Paperback, [PU: Springer], In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by polynomials, splines and entire functions of exponential type., Differential Calculus & Equations<

2010, ISBN: 9789048166411

gebonden uitgave

Softcover reprint of hardcover 1st ed. 2004, Softcover, Buch, [PU: Springer]