Fourier Analysis : Analytic and Geometric Aspects (Lecture Notes in Pure and Applied Mathematics)

Bray, William O. (EDT)/ Milojevic, P. (EDT)/ Stanojevic, C.V. (EDT)

CRC Press（2017/08発売）

• 製本 Hardcover:ハードカバー版／ページ数 468 p.
• 言語 ENG
• 商品コード 9781138413306
• DDC分類 515.2433

Full Description

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.

Contents

Preface -- Contributors -- 1. Ergodic and Mixing Properties of Radial Measures on the Heisenberg Group Mark /Agranovsky, Carlos Berenstein, and Der-Chen Chang -- 2. IF and Weak IF Continuity of Calderon-Zygmund Type Operators /Josefina Alvarez -- 3. A New, Harder Proof That Continuous Functions with Schwarz Derivative 0 Are Lines /J. Marshall Ash -- 4. Integrability of Multiple Series /Bruce Aubertin and John J. F. Fournier -- 5. Aspects of Harmonic Analysis on Real Hyperbolic Space /William O. Bray -- 6. Trace Theorems via Wavelets on the Closed Set [0, 1] /Anca Deliu and Mong-Shu Lee -- 7. Meta-Heisenberg Groups /Gerald B. Folland -- 8. Numerical Approximation of Singular Spectral Functions Arising from the Fourier-Jacobi Problem on a Half Line with Continuous Spectra /Charles T. Fulton and Steven Pruess -- 9. Using Sums of Squares to Prove That Certain Entire Functions Have Only Real Zeros /George Gasper -- 10. An Application of Coxeter Groups to the Construction of Wavelet Bases in R1 /Jeffrey S. Geronimo, Douglas P. Hardin, and Peter R. Massopust -- 11. The Uniform Invertibility of Fourier Transforms of Compositions of Functions in 21 (R2) with Certain Quadratic Maps of R2 /Peter M. Jarvis -- 12. On Methods of Fourier Analysis in Multigrid Theory /Erwin Kreyszig -- 13. Orthogonal Wavelet Bases for L^R1) /W. A. Madych -- 14. The Fourier Transform of Tempered Boehmians /Piotr Mikusinski -- 15. Approximation-Solvability of Nonlinear Equations and Applications /P. S. Milojevic -- 16. Homogeneous Cones and Homogeneous Integrals /Tatjana Ostrogorski -- 17. Fourier Inversion in the Piecewise Smooth Category /Mark A, Pinsky -- 18. Normed Linear Spaces of Trigonometric Transforms and Functions Analytic in the Unit Disk /Caslav V. Stanojevic -- 19. Fourier and Trigonometric Transforms with Complex Coefficients Regularly Varying in Mean /Vera B. Stanojevic -- 20. Sampling and the Multisensor Deconvolution Problem /David F. Walnut.