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Titlebook: Distributions, Partial Differential Equations, and Harmonic Analysis; Dorina Mitrea Textbook 20131st edition Springer Science+Business Med

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发表于 2025-3-21 16:41:10 | 显示全部楼层 |阅读模式
书目名称Distributions, Partial Differential Equations, and Harmonic Analysis
编辑Dorina Mitrea
视频video
概述Largely self-contained, rapid introduction to the theory of distributions and its applications to partial differential equations.Contains the computation of fundamental solutions for the Laplacian, he
丛书名称Universitext
图书封面Titlebook: Distributions, Partial Differential Equations, and Harmonic Analysis;  Dorina Mitrea Textbook 20131st edition Springer Science+Business Med
描述​The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam‘e and Schrodinger operators.​
出版日期Textbook 20131st edition
关键词Distributions; Fourier Analysis; Fundamental Solutions; Partial Diffential Equations texbook; Potential
版次1
doihttps://doi.org/10.1007/978-1-4614-8208-6
isbn_ebook978-1-4614-8208-6Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer Science+Business Media New York 2013
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Recent Trends in the Philosophy of Sciencerator possesses a fundamental solution with singular support consisting of the origin alone. In this chapter an integral representation formula and interior estimates for a subclass of hypoelliptic operators is proved as well.
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Textbook 20131st editionrgely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam‘e and Schrodinger operators.​
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7. Frobenius Groups with Many Involutions,l operators of central importance to harmonic analysis, such as the Riesz transforms, naturally arise as an extension to the space of square-integrable functions, of the convolution product of tempered distributions of principal value type with Schwartz functions.
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The Space of Tempered Distributions,l operators of central importance to harmonic analysis, such as the Riesz transforms, naturally arise as an extension to the space of square-integrable functions, of the convolution product of tempered distributions of principal value type with Schwartz functions.
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0172-5939 lications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam‘e and Schrodinger operators.​978-1-4614-8208-6Series ISSN 0172-5939 Series E-ISSN 2191-6675
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https://doi.org/10.1007/978-3-642-50799-1nstant coefficient second order systems in the upper-half space, and the relevance of these operators vis-a-vis to the solvability of boundary value problems for such systems in this setting, are discussed.
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