Theory of Distributions

Svetlin G. Georgiev (Autor)

Buch | Softcover

XI, 262 Seiten

2021 | 2nd ed. 2021
Springer International Publishing (Verlag)
978-3-030-81264-5 (ISBN)

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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 second edition, 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.

Svetlin G. Georgiev (born 1974, Bulgaria) has worked in various areas of mathematics. His current focus: harmonic analysis, functional analysis, partial differential equations, ordinary differential equations, Clifford and quaternion analysis, integral equations, dynamic calculus on time scales.

- Introduction. - Generalities on Distributions. - Differentiation. - Homogeneous Distributions. - The Direct Product of Distributions. - Convolutions. - Tempered Distributions. - Integral Transforms. - Fundamental Solutions. - Sobolev Spaces.

Erscheinungsdatum	24.08.2021
Zusatzinfo	XI, 262 p.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	422 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	distributions • Fourier transform • Laplace transform • Sobolev spaces • Tempered distributions
ISBN-10	3-030-81264-2 / 3030812642
ISBN-13	978-3-030-81264-5 / 9783030812645
Zustand	Neuware