Harmonic analysis
Barry Simon
- Providence: American Mathematical Society, 2015
- xviii, 759 p. ill ; 26 cm
- A comprehensive course in analysis ; part 3 .
Bibliografie p. 691; Index p. 737
eng
9781470411022 (hbk. : acidfree paper)
2015024457
Mathematical analysis Harmonic analysis Real functions -- Instructional exposition (textbooks, tutorial papers, etc.). Potential theory -- Instructional exposition (textbooks, tutorial papers, etc.). Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.). Functions of a complex variable -- Spaces and algebras of analytic functions -- Hardy spaces. Functions of a complex variable -- Spaces and algebras of analytic functions -- BMO-spaces. Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Wavelets and other special systems.
Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems.