Harmonic Analysis and Convexity
暫譯: 諧波分析與凸性
Koldobsky, Alexander, Volberg, Alexander
- 出版商: de Gruyter
- 出版日期: 2023-07-24
- 售價: $11,530
- 貴賓價: 9.5 折 $10,953
- 語言: 英文
- 頁數: 480
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3110775379
- ISBN-13: 9783110775372
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相關分類:
離散數學 Discrete-mathematics
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相關主題
商品描述
In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022.
The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.
商品描述(中文翻譯)
近年來,諧波分析與凸幾何之間的互動日益增加,這導致了幾個長期存在的問題的解決。本書集結了在2022年秋季於羅德島普羅維登斯的計算與實驗數學研究所舉辦的諧波分析與凸性研究學期中討論的主題。
本卷匯集了相關領域的專家,報告該領域主要問題的現狀,包括任意測度的同構 Busemann-Petty 問題和切片問題、傅立葉延拓的極值問題,以及古典鞅類型的奇異積分的極值問題等。
作者簡介
Alexander Koldobsky, University of Missouri, Colombia, USA; Alexander Volberg, Michigan State University, USA.
作者簡介(中文翻譯)
亞歷山大·科爾多布斯基,美國密蘇里大學哥倫比亞校區;亞歷山大·沃爾伯格,美國密西根州立大學。