This book covers the
following topics: Fourier transform on L1, Tempered distribution, Fourier
transform on L2, Interpolation of operators, Hardy-Littlewood maximal function,
Singular integrals, Littlewood-Paley theory, Fractional integration, Singular
multipliers, Bessel functions, Restriction to the sphere and Uniform sobolev
inequality.
This book contains below topics, Preliminaries, Affine Operator Convolutions, Operator Admissibility, From the Viewpoint of Representation Theory, Examples.
Author(s): Eirik Berge, Stine M. Berge, Franz Luef
This note explains the following topics, The
hardy Littlewood maximal function, Singular integral operators of convolution
type, Singular integral operators acting on Banach space valued functions,
Littlewood paley theory, Some applications of LP theory, BMO and the Hardy space
H1, Almost orthogonality, Singular integral operators not of convolution type,
Applications of dyadic decompositions and paraproducts, Fourier transform
restriction.
This
book was designed primarily as a working manual for use in the United States
Coast and Geodetic Survey and describes the procedure used in this office for
the harmonic analysis and prediction of tides and tidal currents.