Theory of Distributions - Svetlin G. Georgiev

Theory of Distributions

Buch | Softcover
XI, 262 Seiten
2021 | 2nd ed. 2021
Springer International Publishing (Verlag)
978-3-030-81264-5 (ISBN)
53,49 inkl. MwSt
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
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
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