书目名称 | Distributions, Partial Differential Equations, and Harmonic Analysis | 编辑 | Dorina Mitrea | 视频video | | 概述 | Pursues the development of distribution theory simultaneously with relevant incursions into partial differential equations and harmonic analysis.Written in a concise, rigorous, and largely self-contai | 丛书名称 | Universitext | 图书封面 |  | 描述 | The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-studyguide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technica | 出版日期 | Textbook 2018Latest edition | 关键词 | Distributions; Fourier Analysis; Fundamental Solutions; Partial Diffential Equations texbook; Potential | 版次 | 2 | doi | https://doi.org/10.1007/978-3-030-03296-8 | isbn_softcover | 978-3-030-03295-1 | isbn_ebook | 978-3-030-03296-8Series ISSN 0172-5939 Series E-ISSN 2191-6675 | issn_series | 0172-5939 | copyright | Springer Nature Switzerland AG 2018 |
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