Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals

E542636

graduate-level textbook harmonic analysis textbook mathematics textbook

"Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals" is a foundational graduate-level textbook by Elias Stein that systematically develops modern harmonic analysis using real-variable techniques, emphasizing singular integrals, Littlewood–Paley theory, and oscillatory integral methods.

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Label	Occurrences
Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals canonical	1

Statements (44)

Predicate	Object
instanceOf	graduate-level textbook ⓘ harmonic analysis textbook ⓘ mathematics textbook ⓘ
audience	graduate students in mathematics ⓘ researchers in harmonic analysis ⓘ
author	Elias M. Stein NERFINISHED ⓘ
contains	detailed proofs of major theorems in harmonic analysis ⓘ exercises for each chapter ⓘ
contribution	standard reference in harmonic analysis ⓘ systematic development of modern real-variable harmonic analysis ⓘ
emphasis	orthogonality methods ⓘ oscillatory integral methods ⓘ real-variable techniques ⓘ
field	harmonic analysis ⓘ real-variable methods in analysis ⓘ
focus	Euclidean harmonic analysis ⓘ Lp spaces ⓘ operator bounds on function spaces ⓘ
language	English ⓘ
level	graduate ⓘ
prerequisite	basic functional analysis ⓘ measure theory ⓘ real analysis ⓘ
publisher	Princeton University Press NERFINISHED ⓘ
relatedWork	Fourier Analysis: An Introduction NERFINISHED ⓘ Singular Integrals and Differentiability Properties of Functions NERFINISHED ⓘ
series	Princeton Mathematical Series NERFINISHED ⓘ
subject	BMO (bounded mean oscillation) ⓘ Calderón–Zygmund theory NERFINISHED ⓘ Carleson-type operators ⓘ Fourier multipliers ⓘ Fourier transform on Euclidean spaces ⓘ Hardy spaces NERFINISHED ⓘ Littlewood–Paley theory NERFINISHED ⓘ Radon transforms ⓘ interpolation of operators ⓘ maximal functions ⓘ oscillatory integral estimates ⓘ oscillatory integrals ⓘ restriction theorems in Fourier analysis ⓘ singular integrals ⓘ square functions ⓘ weighted norm inequalities ⓘ
usedAs	graduate course textbook ⓘ

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Elias Stein → notableWork → Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals ⓘ