TY  - BOOK
AU  - Georgiev,Svetlin
TI  - Theory of Distributions 
SN  - 9783030812645 (Pbk)
U1  - 515.7 G29T 23
PY  - 2015///
CY  - Switzarland
PB  - Springer-Nature
KW  - Differential equations
KW  - Fourier analysis
KW  - Functional analysis
KW  - Partial differential equations
KW  - Functional Analysis
KW  - Fourier Analysis
KW  - Ordinary Differential Equations
KW  - Partial Differential Equations
N1  - 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
N2  - 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
ER  -