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Fourier Analysis and Approximation of Functions - Eduard S. Belinsky
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Eduard S. Belinsky:

Fourier Analysis and Approximation of Functions - gebonden uitgave, pocketboek

2004, ISBN: 1402023413

[EAN: 9781402023415], Neubuch, [PU: Springer Netherlands], APPROXIMATION - DIFFERENZENAPPROXIMATION; NÄHERUNGSRECHNUNG; RECHNEN / ANALYSIS FOURIERANALYSIS; FOURIERTRANSFORM; HILBERTSPACE;… Meer...

NEW BOOK. Verzendingskosten:Versandkostenfrei. (EUR 0.00) AHA-BUCH GmbH, Einbeck, Germany [51283250] [Rating: 5 (von 5)]
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Eduard S. Belinsky:

Fourier Analysis and Approximation of Functions - nieuw boek

2007, ISBN: 9781402023415

[ED: Buch], [PU: Springer Netherlands], Neuware - In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by po… Meer...

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Eduard S. Belinsky:
Fourier Analysis and Approximation of Functions - nieuw boek

2007

ISBN: 9781402023415

[ED: Buch], [PU: Springer Netherlands], Neuware - In Fourier Analysis and Approximation of Functions basics of classical Fourier Analysis are given as well as those of approximation by po… Meer...

Verzendingskosten:Versand nach Deutschland. (EUR 4.50) AHA-BUCH GmbH
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Fourier Analysis And Approximation Of Functions by Roald M. Trigub Hardcover | Indigo Chapters - nieuw boek

ISBN: 9781402023415

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...

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Fourier Analysis And Approximation Of Functions - nieuw boek

ISBN: 9781402023415

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...

new in stock. Verzendingskosten:zzgl. Versandkosten., exclusief verzendingskosten

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Fourier Analysis And Approximation Of Functions by Roald M. Trigub Hardcover | Indigo Chapters

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.

Gedetalleerde informatie over het boek. - Fourier Analysis And Approximation Of Functions by Roald M. Trigub Hardcover | Indigo Chapters


EAN (ISBN-13): 9781402023415
ISBN (ISBN-10): 1402023413
Gebonden uitgave
Verschijningsjaar: 2004
Uitgever: Roald M. Trigub
600 Bladzijden
Gewicht: 1,052 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2007-06-06T00:03:42+02:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2023-08-11T17:14:49+02:00 (Amsterdam)
ISBN/EAN: 1402023413

ISBN - alternatieve schrijfwijzen:
1-4020-2341-3, 978-1-4020-2341-5
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: belinsky, trigub, belin, eduard his, classical fourier analysis
Titel van het boek: fourier analysis and approximation functions, four, func


Gegevens van de uitgever

Auteur: Roald M. Trigub; Eduard S. Belinsky
Titel: Fourier Analysis and Approximation of Functions
Uitgeverij: Springer; Springer Netherland
586 Bladzijden
Verschijningsjaar: 2004-09-07
Dordrecht; NL
Taal: Engels
160,49 € (DE)
164,99 € (AT)
177,00 CHF (CH)
Available
XIV, 586 p.

BB; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; Fourier transform; Hilbert space; Operator theory; bigfin; calculus; harmonic analysis; Approximations and Expansions; Fourier Analysis; Sequences, Series, Summability; Measure and Integration; Functional Analysis; Funktionalanalysis und Abwandlungen; Mathematische Analysis, allgemein; Integralrechnung und -gleichungen; EA; BC

1. Representation Theorems.- 1.1 Theorems on representation at a point.- 1.2 Integral operators. Convergence in Lp-norm and almost everywhere.- 1.3 Multidimensional case.- 1.4 Further problems and theorems.- 1.5 Comments to Chapter 1.- 2. Fourier Series.- 2.1 Convergence and divergence.- 2.2 Two classical summability methods.- 2.3 Harmonic functions and functions analytic in the disk.- 2.4 Multidimensional case.- 2.5 Further problems and theorems.- 2.6 Comments to Chapter 2.- 3. Fourier Integral.- 3.1 L-Theory.- 3.2 L2-Theory.- 3.3 Multidimensional case.- 3.4 Entire functions of exponential type. The Paley-Wiener theorem.- 3.5 Further problems and theorems.- 3.6 Comments to Chapter 3.- 4. Discretization. Direct and Inverse Theorems.- 4.1 Summation formulas of Poisson and Euler-Maclaurin.- 4.2 Entire functions of exponential type and polynomials.- 4.3 Network norms. Inequalities of different metrics.- 4.4 Direct theorems of Approximation Theory.- 4.5 Inverse theorems. Constructive characteristics. Embedding theorems.- 4.6 Moduli of smoothness.- 4.7 Approximation on an interval.- 4.8 Further problems and theorems.- 4.9 Comments to Chapter 4.- 5. Extremal Problems of Approximation Theory.- 5.1 Best approximation.- 5.2 The space Lp. Best approximation.- 5.3 Space C. The Chebyshev alternation.- 5.4 Extremal properties for algebraic polynomials and splines.- 5.5 Best approximation of a set by another set.- 5.6 Further problems and theorems.- 5.7 Comments to Chapter 5.- 6. A Function as the Fourier Transform of A Measure.- 6.1 Algebras A and B. The Wiener Tauberian theorem.- 6.2 Positive definite and completely monotone functions.- 6.3 Positive definite functions depending only on a norm.- 6.4 Sufficient conditions for belonging to Ap and A*.- 6.5 Further problems and theorems.- 6.6 Comments to Chapter 6.- 7. Fourier Multipliers.- 7.1 General properties.- 7.2 Sufficient conditions.- 7.3 Multipliers of power series in the Hardy spaces.- 7.4 Multipliers and comparison of summability methods of orthogonal series.- 7.5 Further problems and theorems.- 7.6 Comments to Chapter 7.- 8. Summability Methods. Moduli of Smoothness.- 8.1 Regularity.- 8.2 Applications of comparison. Two-sided estimates.- 8.3 Moduli of smoothness and K-functionals.- 8.4 Moduli of smoothness and strong summability in Hp(D), 0erences.- Author Index.- Topic Index.

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Laatste soortgelijke boek:
9781402028762 Fourier Analysis and Approximation of Functions (Roald M. Trigub/ Eduard S. Belinsky)


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