| 书目名称 | Fourier Series, Fourier Transform and Their Applications to Mathematical Physics | | 编辑 | Valery Serov | | 视频video | | | 概述 | Each chapter is self-contained and can be read independently.Content grew from a series of half-semester courses given at University of Oulu.Contains material only previously published in scientific j | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 描述 | .This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts..The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrödinger and magnetic Schrödinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, servesas an introduction to modern methods for classical theory of partial differential equations..Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engi | | 出版日期 | Textbook 2017 | | 关键词 | Fourier Series; Fourier Transforms; Operator Theory; Mathematical Phsycis; Partial Differential Equation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-65262-7 | | isbn_softcover | 978-3-319-87985-7 | | isbn_ebook | 978-3-319-65262-7Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 18:25:40
