Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63 / / Elias M. Stein

• Autore: Stein Elias M.
• Pubblicazione: Princeton, NJ : , : Princeton University Press, , [2016]; ©1970
• Descrizione fisica: 1 online resource (160 pages)
• Disciplina: 515.2433
• Soggetto topico: Harmonic analysis; Littlewood-Paley theory; Lie groups; Semigroups
• Soggetto non controllato: Addition; Analytic function; Axiom; Boundary value problem; Central limit theorem; Change of variables; Circle group; Classification theorem; Commutative property; Compact group; Complex analysis; Convex set; Coset; Covering space; Derivative; Differentiable manifold; Differential geometry; Differential operator; Dimension (vector space); Dimension; Direct sum; E6 (mathematics); E7 (mathematics); E8 (mathematics); Elementary proof; Equation; Equivalence class; Existence theorem; Existential quantification; Fourier analysis; Fourier series; Fourier transform; Function space; General linear group; Haar measure; Harmonic analysis; Harmonic function; Hermite polynomials; Hilbert transform; Homogeneous space; Homomorphism; Ideal (ring theory); Identity matrix; Indecomposability; Integral transform; Invariant measure; Invariant subspace; Irreducibility (mathematics); Irreducible representation; Lebesgue measure; Legendre polynomials; Lie algebra; Lie group; Linear combination; Linear map; Local diffeomorphism; Markov process; Martingale (probability theory); Matrix group; Measurable function; Measure (mathematics); Multiple integral; Normal subgroup; One-dimensional space; Open set; Ordinary differential equation; Orthogonality; Orthonormality; Parseval's theorem; Partial differential equation; Probability space; Quadratic form; Rank of a group; Regular representation; Riemannian manifold; Riesz transform; Schur orthogonality relations; Scientific notation; Semigroup; Sequence; Special case; Stone–Weierstrass theorem; Sturm–Liouville theory; Subgroup; Subset; Summation; Tensor algebra; Tensor product; Theorem; Theory; Topological group; Topological space; Torus; Trigonometric polynomial; Trivial representation; Uniform convergence; Unitary operator; Unitary representation; Vector field; Vector space
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Frontmatter -- Preface -- Contents -- Introduction -- Chapter I: Lie Groups (A Review) -- Chapter II: Littlewood-Paley Theory for a Compact Lie Group -- Chapter III: General Symmetric Diffusion Semi-Groups -- Chapter IV: The General Littlewood-Paley Theory -- Chapter V: Further Illustrations -- References -- Appendix (1985)
• Sommario/riassunto: This work deals with an extension of the classical Littlewood-Paley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A review of background material in Lie groups and martingale theory is included to make the monograph more accessible to the student.
• Titolo autorizzato: Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63), Volume 63
• ISBN: 1-4008-8187-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910154742803321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; Number 63.