The Use of Frames in Sampling Theory

García García, Antonio

The Use of Frames in Sampling Theory
  • 出版商: Springer
  • 出版日期: 2024-07-27
  • 售價: $6,140
  • 貴賓價: 9.5 折 $5,833
  • 語言: 英文
  • 頁數: 302
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 3031632419
  • ISBN-13: 9783031632419

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相關主題

商品描述

This book provides a comprehensive review of regular sampling based on frame theory in a separable Hilbert space. Thus, sampling theory has common features in almost all situations: classical theory, Kramer sampling theory, and finite sampling or sampling Hilbert-Schmidt operators. In addition, the transversality of sampling theory with other mathematical fields appears, in an easy way. The first three chapters of the book can be used as an introduction to sampling theory, while the rest of the chapters are addressed to introduce the interested reader in the research on the topic.

商品描述(中文翻譯)

本書提供了基於框架理論在可分希爾伯特空間中進行常規取樣的全面回顧。因此，取樣理論在幾乎所有情況下具有共同特徵：經典理論、Kramer 取樣理論以及有限取樣或取樣希爾伯特-施密特算子。此外，取樣理論與其他數學領域的橫向關聯也以簡單的方式呈現。本書的前三章可作為取樣理論的入門，而其餘章節則旨在引導有興趣的讀者深入研究該主題。

作者簡介

Antonio García García was born in Valladolid, Spain, in 1957. He received M.Sc. degree in mathematics in 1979 and a Ph.D. in mathematics in 1983, both from the University of Valladolid, Spain. After teaching mathematics in a high school, he joined, in 1991, the Department of Mathematics of the University Carlos III de Madrid, Spain, as an Associate Professor. Since 2009, he has held a full professor position. His research interests include all the mathematical topics related to sampling theory, where he has 6 Ph.D. students, and he has published 71 papers in periodic journals and 5 book chapters (4 in Springer books). H has also written 2 textbooks (in Spanish). He was the main researcher of 5 research projects on the sampling topic. More information can be found on his personal webpage.

作者簡介(中文翻譯)

安東尼奧·加西亞·加西亞（Antonio García García）於1957年出生於西班牙的巴利亞多利德。他於1979年獲得數學碩士學位，並於1983年獲得數學博士學位，兩者皆來自西班牙巴利亞多利德大學。在高中的數學教學之後，他於1991年加入西班牙馬德里卡洛斯三世大學數學系，擔任副教授。自2009年以來，他擔任正教授職位。他的研究興趣包括與抽樣理論相關的所有數學主題，目前有6位博士生，並在期刊上發表了71篇論文和5章書籍（其中4章在Springer出版的書籍中）。他還撰寫了2本教科書（以西班牙語）。他是5個與抽樣主題相關的研究項目的主要研究者。更多信息可以在他的個人網頁上找到。

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