Theory of Distributions

Prof. Svetlin G. Georgiev , Assistant Professor, Department of Differential Equations, Faculty of Mathematics and Informatics, University of Sofia "St. Kliment Ohridski", Sofia, Bulgaria.

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.

"Uniquely, this work by Georgiev (Univ. of Sofia, Bulgaria) reads stylistically like a brief, basic, but exotic calculus text, replete with concrete sample calculations. Many researchers found distributions quite alien when they made the scene 65 years ago, but with this book, today's mathematics and physics undergraduate students may well come to regard them as quite routine. Summing Up: Recommended. Upper-division undergraduates through professionals/practitioners." (D. V. Feldman, Choice, Vol. 53 (10), June, 2016)