Topics in Harmonic Analysis Related to the Littlewood-Paley Theory
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A01=Elias M. Stein
Analytic function
Author_Elias M. Stein
Axiom
Boundary value problem
Category=PBK
Central limit theorem
Change of variables
Circle group
Classification theorem
Commutative property
Compact group
Coset
Differential geometry
Differential operator
Dimension
Dimension (vector space)
Direct sum
E6 (mathematics)
E7 (mathematics)
E8 (mathematics)
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equation
Equivalence class
Existence theorem
Fourier analysis
Fourier series
Fourier transform
Function space
General linear group
Haar measure
Harmonic analysis
Harmonic function
Hermite polynomials
Homomorphism
Ideal (ring theory)
Identity matrix
Integral transform
Invariant subspace
Irreducibility (mathematics)
Irreducible representation
Lebesgue measure
Legendre polynomials
Lie algebra
Lie group
Linear combination
Linear map
Martingale (probability theory)
Matrix group
Measure (mathematics)
Ordinary differential equation
Orthonormality
Parseval's theorem
Partial differential equation
Quadratic form
Regular representation
Riemannian manifold
Riesz transform
Schur orthogonality relations
Scientific notation
Semigroup
Special case
Stone-Weierstrass theorem
Sturm-Liouville theory
Summation
Tensor algebra
Tensor product
Theorem
Topological group
Topological space
Trigonometric polynomial
Unitary operator
Unitary representation
Vector space
Product details
- ISBN 9780691080673
- Weight: 227g
- Dimensions: 152 x 229mm
- Publication Date: 21 Feb 1970
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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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.
