Harmonic analysis - Simon, Barry (Providence: AMS, 2017)
Includes bibliographical references and indexes.
Keywords: Mathematical analysis -- Textbooks; Harmonic analysis -- Textbooks; 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; Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.).; Functional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems