Harmonic analysis
Barry Simon
Book
Harmonic analysis
2015
Real functions -- Instructional exposition (textbooks, tutorial papers, etc.).Functions of a complex variable -- Spaces and algebras of analytic functions -- Hardy spacesHarmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Wavelets and other special systemsTextbooksHarmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.).Functional analysis -- Instructional exposition (textbooks, tutorial papers, etc.).Harmonic analysisFunctions of a complex variable -- Spaces and algebras of analytic functions -- BMO-spacesFunctional analysis -- Linear function spaces and their duals -- Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theoremsPotential theory -- Instructional exposition (textbooks, tutorial papers, etc.).Mathematical analysis
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