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A treatise on trigonometric series. Volume 1 /
A Treatise on Trigonometric Series.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Ruso |
| Publicado: |
New York :
The Macmillan Company,
1964.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Ii 4500 | ||
|---|---|---|---|
| 001 | SCIDIR_ocn898772091 | ||
| 003 | OCoLC | ||
| 005 | 20231120111854.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 141227s1964 nyu ob 001 0 eng d | ||
| 040 | |a EBLCP |b eng |e pn |c EBLCP |d N$T |d HEBIS |d OCLCQ |d N$T |d E7B |d OCLCF |d DEBSZ |d YDXCP |d OCLCQ |d MERUC |d OCLCQ |d VLY |d OCLCO |d OCLCQ |d OCLCO | ||
| 019 | |a 894152812 |a 922519190 |a 1162119661 | ||
| 020 | |a 9781483224190 |q (electronic bk.) | ||
| 020 | |a 1483224198 |q (electronic bk.) | ||
| 035 | |a (OCoLC)898772091 |z (OCoLC)894152812 |z (OCoLC)922519190 |z (OCoLC)1162119661 | ||
| 041 | 1 | |a eng |h rus | |
| 050 | 4 | |a QA404 |b .B343 1964 | |
| 072 | 7 | |a MAT |x 005000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 034000 |2 bisacsh | |
| 082 | 0 | 4 | |a 515/.2433 |2 23 |
| 100 | 1 | |a Bari, N. K. |q (Nina Karlovna) | |
| 240 | 1 | 0 | |a Trigonometricheskie r�i�ady. |l English |
| 245 | 1 | 2 | |a A treatise on trigonometric series. |n Volume 1 / |c N.K. Bary ; authorized translation by Margaret F. Mullins. |
| 260 | |a New York : |b The Macmillan Company, |c 1964. | ||
| 300 | |a 1 online resource (xxiii, 553 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 588 | 0 | |a Print version record. | |
| 500 | |a "A Pergamon Press book." | ||
| 505 | 0 | |a Front Cover; A Treatise on Trigonometric Series; Copyright Page; Table of Contents; CONTENTS OF VOLUME II; TRANSLATOR'S PREFACE; AUTHOR'S PREFACE; NOTATION; INTRODUCTORY MATERIAL; 1. ANALYTICAL THEOREMS; II. NUMERICAL SERIES, SUMMATION; III. INEQUALITIES FOR NUMBERS, SERIES AND INTEGRALS; IV. THEORY OF SETS AND THEORY OF FUNCTIONS; V. FUNCTIONAL ANALYSIS; VI. THEORY OF APPROXIMATION OF FUNCTIONS BYTRIGONOMETRIC POLYNOMIALS; CHAPTER I. BASIC CONCEPTS AND THEOREMS IN THETHEORY OF TRIGONOMETRIC SERIES; 1. The concept of a trigonometric series; conjugate series. | |
| 505 | 8 | |a 2. The complex form of a trigonometric series 3. A brief historical synopsis; 4. Fourier formulae; 5. The complex form of a Fourier series; 6. Problems in the theory of Fourier series; Fourier-Lebesgue series; 7. Expansion into atrigonometric series of a function with period 2l; 8. Fourier series for even and odd functions; 9. Fourier series with respect to the orthogonal system; 10. Completeness of an orthogonal system; 11. Completeness of the trigonometric system in the space L; 12. Uniformly convergent Fourier series. | |
| 505 | 8 | |a 13. The minimum property of the partial sums of a Fourier series Bessel's inequality; 14. Convergence of a Fourier series in the metric space L2; 15. Concept of the closure of the system. Relationship between closure and completeness; 16. The Riesz-Fischer theorem; 17. The Riesz-Fischer theorem and Parseval's equality for a trigonometric system; 18. Parseval's equality for the product of two functions; 19. The tending to zero of Fourier coefficients; 20. Fej�er's lemma; 21. Estimate of Fourier coefficients in terms of the integral modulus of continuity of the function. | |
| 505 | 8 | |a 22. Fourier coefficients for functions of bounded variation 23. Formal operations on Fourier series; 24. Fourier series for repeatedly differentiated functions; 25. On Fourier coefficients for analytic functions; 26. The simplest cases of absolute and uniform convergence of Fourier series; 27. Weierstrass's theorem on the approximation of a continuous function by trigonometric polynomials; 28. The density of a class of trigonometric polynomials in the spaces LP (p> 1); 29. Dirichlet's kernel and its conjugate kernel. | |
| 505 | 8 | |a 30. Sine or cosine series with monotonically decreasing coefficients 31. Integral expressions for the partial sums of a Fourier series and its conjugate series; 32. Simplification of expressions for Sn(x) and Sn(x); 33. Riemann's principle of localization; 34. Steinhauses theorem; 35. Integral dx. Lebesgue constants; 36. Estimate of the partial sums of a Fourier series of a bounded function; 37. Criterion of convergence of a Fourier series; 38. Dini's test; 39. Jordan's test; 40. Integration of Fourier series; 41. Gibbs's phenomenon; 42. Determination of the magnitude of the discontinuity of a function from its Fourier series. | |
| 504 | |a Includes bibliographical references (pages 537-548) and index. | ||
| 520 | |a A Treatise on Trigonometric Series. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Fourier series. | |
| 650 | 6 | |a S�eries de Fourier. |0 (CaQQLa)201-0043681 | |
| 650 | 7 | |a MATHEMATICS |x Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Mathematical Analysis. |2 bisacsh | |
| 650 | 7 | |a Fourier series |2 fast |0 (OCoLC)fst00933405 | |
| 776 | 0 | 8 | |i Print version: |a Bary, N.K. |t A Treatise on Trigonometric Series : Volume 1. |d New York : The Macmillan Company, 1964 |z 9781483199160 |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9781483199160 |z Texto completo |