Fourier Analysis: Analytic and Geometric Aspects

ISBN-13: 9780824792084 / Angielski / Miękka / 1994 / 472 str.

William O. Bray; Bray O. Bray; William O. Bray

Opis

Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, numerical aspects of Fourier analysis and their applications, wavelets and more.

Spis treści

HP and Weak HP Continuity of Calderon-Zygmund Operators; Ergodic and Mixing Properties of Radial Measures on the Heisenberg Group; A New, Harder Proof That Continuous Functions with Schwartz Derivative 0 are Lines; Integrability of Multiple Series; Aspects of Harmonic Analysis on Real Hyperbolic Space; Trace Theorems Via Wavelets on the Closed Set [0,1]; Meta-Heisenberg Groups; Numerical Approximation of Singular Spectral Functions Arising from the Fourier-Jacobi Problem on a Half Line with Continuous Spectra; Using Sums of Squares to Prove That Certain Entire Functions Have Only Real Zeros; An Application of Coxeter Groups into the Construction of Wavelet Bases in Rn; The Uniform Invertibility of Fourier Transforms of Compositions of Functions in U(R2) with Certain Quadratic Maps of R2; On Methods of Fourier Analysis, in Multigrid Theory; Orthogonal Wavelet Bases for L2 (Rn); Approximation Solvability on Nonlinear Equations and Applications; The Fourier Transform of Tempered Bohemians Homogeneous Cones and Homogeneous Integrals; Fourier Inversion in the Piecewise Smooth Category; Normal Linear Spaces of Trigonometric Transforms and Functions Analytic in the Unit Disk; Fourier and Trigonometric Transforms and Functions Analytic in the Unit Disk; Fourier and Trigonometric Transforms with Complex Coefficients Regularly Varying in Mean; Sampling and the Multisensor Deconvolution Problem.

O autorze

WILLIAM O. Bray is an Associate Professor of Mathematics at the University of Maine, Orono. The author of numerous professional papers in the area of Fourier/harmonic analysis, he is a member of the American Mathematical Society and the Mathematical Association of America. Dr. Bray received the Ph.D. degree (1981) in mathematics from the University of Missouri—Rolla. P. S. MILOJEVIC is Professor of Mathematics at the New Jersey Institute of Technology in Newark. The editor of the book Nonlinear Functional Analysis (Marcel Dekker, Inc.), his primary area of research is nonlinear functional analysis and its applications and he has published extensively in this field. Dr. Milojevic is a member of the American Mathematical Society. He received the Ph.D. degree (1975) from Rutgers University, New Brunswick, New Jersey. CASLAV V. STANOJEVIC is Distinguished Professor in the Department of Mathematics and Statistics, University of Missouri—Rolla. The founder of the International Workshop in Analysis and its Applications (IWAA) and Chairman of the Organization Committee of IWAA, he is the author of numerous research papers in various areas of mathematics, and the holder of a U.S. patent. Dr. Stanojevic received the Ph.D. degree (1955) from the University of Belgrade, Yugoslavia.