Topics in Harmonic Analysis Related to the Littlewood-Paley Theory (eBook)

Elias M. Stein (Autor)

eBook Download: PDF

2016
Princeton University Press (Verlag)
978-1-4008-8187-1 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 2.3.2016
• Reihe/Serie: Annals of Mathematics Studies
• Reihe/Serie: Annals of Mathematics Studies
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Schlagworte: 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 • Dimension (vector space) • 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
• ISBN-10: 1-4008-8187-0 / 1400881870
• ISBN-13: 978-1-4008-8187-1 / 9781400881871