TY  - BOOK
AU  - Georgiev,Svetlin G.
ED  - SpringerLink (Online service)
TI  - Theory of Distributions
SN  - 9783319195278
AV  - QA319-329.9 
U1  - 515.7 23
PY  - 2015///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - mathematics
KW  - Fourier analysis
KW  - Functional analysis
KW  - Differential Equations
KW  - Partial Differential Equations
KW  - Mathematics
KW  - Functional Analysis
KW  - Ordinary Differential Equations
KW  - Fourier Analysis
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
UR  - http://dx.doi.org/10.1007/978-3-319-19527-8
ER  -