Mendeley出力
＜図書＞
Fourier analysis in convex geometry
| 責任表示 | Alexander Koldobsky |
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| シリーズ | Mathematical surveys and monographs ; v. 116 |
| データ種別 | 図書 |
| 出版情報 | Providence, R.I. : American Mathematical Society , c2005 |
| 本文言語 | 英語 |
| 大きさ | vi, 170 p. : ill. ; 26 cm |
| 概要 | Koldobsky describes a new Fourier analytic approach in which the idea is to express certain geometric properties of bodies in Fourier analytic terms and then use methods of harmonic analysis to solve ...eometric problems. After describing basic concepts such as Radon transforms, the gamma-function, the Fourier transform of distributions, fractional derivatives, and positive definite distributions, Koldobsky describes volume and the Fourier transform, intersection bodies, the Buseman-Petty problem, intersection bodies and Lp-spaces (including Schoenberg's problems on positive definitive functions), Ball's theorem and projections and the Fourier transform. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com) 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6947368 |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | KOLD/10/1 | 2005 |
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023212005000473 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. 163-168) and index |
|---|---|
| 著者標目 | *Koldobsky, Alexander, 1955- |
| 件 名 | LCSH:Convex sets LCSH:Banach spaces LCSH:Fourier transformations |
| 分 類 | LCC:QA640 DC22:516/.08 |
| 書誌ID | 1001244138 |
| ISBN | 0821837877 |
| NCID | BA71867588 |
| 巻冊次 | ISBN:0821837877 |
| 登録日 | 2009.09.18 |
| 更新日 | 2017.02.18 |