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Theory of Distributions / by Svetlin G. Georgiev.
Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Available online
View online- Format:
- Book
- Author/Creator:
- Georgiev, Svetlin G., Author.
- Language:
- English
- Subjects (All):
- Functional analysis.
- Differential equations.
- Fourier analysis.
- Functional Analysis.
- Differential Equations.
- Fourier Analysis.
- Local Subjects:
- Functional Analysis.
- Differential Equations.
- Fourier Analysis.
- Physical Description:
- 1 online resource (VIII, 218 p.)
- Edition:
- 1st ed. 2015.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2015.
- Language Note:
- English
- Summary:
- This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This book, which consists of 10 chapters, is suitable for upper undergraduate/graduate students and mathematicians seeking an accessible introduction to some aspects of the theory of distributions. It can also be used for one-semester course.
- Contents:
- 1 Introduction
- 2 Generalities on distributions
- 3 Differentiation
- 4 Homogeneous distributions
- 5 Direct product of distributions
- 6 Convolutions
- 7 Tempered distributions
- 8 Integral transforms
- 9 Fundamental solutions
- 10 Sobolev spaces.
- Notes:
- Bibliographic Level Mode of Issuance: Monograph
- Includes bibliographical references and index.
- ISBN:
- 3-319-19527-1
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