Overview
- 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-contained form with a balanced treatment of the topics involved
- Equips readers to handle subsequent courses dealing with allied topics, including: Harmonic Analysis, Partial Differential Equations, Boundary Integral Methods, Sobolev Spaces, Pseudodifferential Operators
Part of the book series: Universitext (UTX)
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Table of contents (14 chapters)
Keywords
About this book
The main additions to the current, second edition, pertain to fundamental solutions (through the inclusion of the Helmholtz operator, the perturbed Dirac operator, and their iterations) and the theory of Sobolev spaces (built systematically from the ground up, exploiting natural connections with the Fourier Analysis developed earlier in the monograph).
Authors and Affiliations
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Bibliographic Information
Book Title: Distributions, Partial Differential Equations, and Harmonic Analysis
Authors: Dorina Mitrea
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-030-03296-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Softcover ISBN: 978-3-030-03295-1Published: 14 January 2019
eBook ISBN: 978-3-030-03296-8Published: 29 December 2018
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 2
Number of Pages: XXIII, 600
Number of Illustrations: 1 b/w illustrations
Topics: Partial Differential Equations, Functional Analysis, Fourier Analysis, Potential Theory