Lectures on Hermite and Laguerre Expansions
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A01=Sundaram Thangavelu
Asymptote
Author_Sundaram Thangavelu
Bessel function
Binomial coefficient
Bounded function
Bounded operator
Boundedness
Category=PBG
Class function (algebra)
Compact space
Conjecture
Convolution
Corollary
Counterexample
Differential equation
Dimension
Eigenvalues and eigenvectors
Elliptic operator
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Estimation
Euclidean space
Finite difference
Fourier series
Fourier transform
Function (mathematics)
Gegenbauer polynomials
Group representation
Haar measure
Harmonic analysis
Heisenberg group
Hermite polynomials
Integer
Integration by parts
Irreducible representation
Laguerre polynomials
Laplace's equation
Lebesgue measure
Lie algebra
Lie group
Linear map
Lorentz group
Lp space
Mathematical physics
Mathematics
Multiplication
Natural number
Nilpotent group
Orthonormal basis
Oscillatory integral
Plancherel theorem
Pointwise
Projection (linear algebra)
Pure mathematics
Radial function
Representation theory
Riesz
Riesz transform
Semigroup
Singular integral
Smoothness
Special functions
Spectral theorem
Spherical harmonics
Summation
Symmetric space
Tensor product
Theorem
Uniform boundedness
Upper and lower bounds
Variable (mathematics)
Vector field
Wave equation
Young's inequality
Product details
- ISBN 9780691000480
- Weight: 312g
- Dimensions: 152 x 229mm
- Publication Date: 09 May 1993
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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The interplay between analysis on Lie groups and the theory of special functions is well known. This monograph deals with the case of the Heisenberg group and the related expansions in terms of Hermite, special Hermite, and Laguerre functions. The main thrust of the book is to develop a concrete Littlewood-Paley-Stein theory for these expansions and use the theory to prove multiplier theorems. The questions of almost-everywhere and mean convergence of Bochner-Riesz means are also treated. Most of the results in this monograph appear for the first time in book form.
Sundaram Thangavelu is a member of the Tata Institute of Fundamental Research in Bangalore, India.
