Integrability Theorems for Trigonometric Transforms / by Ralph P.Jr. Boas
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 1967. |
| 出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
| 出版年 | 1967 |
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| 書誌ID | OB01019334 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | § 1. Introduction -- § 2. Lemmas -- § 3. Theorems with positive or decreasing functions -- § 4. Theorems with positive or decreasing coefficients -- § 5. The exceptional integral values of the index -- § 6. Lp problems, 1 < p < ? -- § 7. Asymptotic formulas and Lipschitz conditions -- § 8. More general classes of functions; conditional convergence -- § 9. Trigonometric integrals. License restrictions may limit access Summary: This monograph is areport on the present state of a fairly coherent collection of problems about which a sizeable literature has grown up in recent years. In this literature, some of the problems have, as it happens, been analyzed in great detail, whereas other very similar ones have been treated much more superficially. I have not attempted to improve on the literature by making equally detailed presentations of every topic. I have also not aimed at encyclopedic completeness. I have, however, pointed out some possible generalizations by stating a number of questions; some of these could doubtless be disposed of in a few minutes; some are probably quite difficult. This monograph was written at the suggestion of B. SZ.-NAGY. I take this opportunity of pointing out that his paper [1] inspired the greater part of the material that is presented here; in particular, it contains the happy idea of focusing Y attention on the multipliers nY-i, x- . R. ASKEY, P. HEYWOOD, M. and S. IZUMI, and S. WAINGER have kindly communicated some of their recent results to me before publication. I am indebted for help on various points to L. S. BOSANQUET, S. M. EDMONDS, G. GOES, S. IZUMI, A. ZYGMUND, and especially to R. ASKEY. My work was supported by the National Science Foundation under grants GP-314, GP-2491, GP-3940 and GP-5558. Evanston, Illinois, February, 1967 R. P. Boas, Jr. Contents Notations ... § 1. Introduetion 3 §2. Lemmas .. 7 § 3. Theorems with positive or decreasing functions |
| 著者標目 | *Boas, Ralph P.Jr SpringerLink (Online service) |
| 統一書名標目 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge, A Series of Modern Surveys in Mathematics ; |
| 件 名 | LCSH:Geometry FREE:Geometry |
| 分 類 | LCC:QA440-699 DC23:516 |
| 巻冊次 | ISBN:9783642871085 RefWorks出力（各巻） print ; ISBN:9783642871108 RefWorks出力（各巻） print ; ISBN:9783540037804 RefWorks出力（各巻） print ; ISBN:9783642871092 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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