This handbook presents a collection of the most important theorems in Fourier analysis. Proofs are presented intuitively, without burdensome mathematical rigor, in a form that is accurate but also accessible to a reader who is not a specialized mathematician. This text bridges the gap between books presently on the market by discussing the finer points of the theory. It is self-contained in that it includes examples of the use of the various theorems.
This handbook presents a collection of the most important theorems in Fourier analysis. Proofs are presented intuitively, without burdensome mathematical rigor, in a form that is accurate but also accessible to a reader who is not a specialized mathematician. This text bridges the gap between books presently on the market by discussing the finer points of the theory. It is self-contained in that it includes examples of the use of the various theorems.
Preface 1. Introduction 2. Lebesque integration 3. Some useful theorems 4. Convergence of sequences of functions 5. Local averages and convolution kernels 6. Some general remarks on Fourier transformation 7. Fourier theorems for good functions 8. Fourier theorems in Lp 9. Fourier theorems for functions outside Lp 10. Miscellaneous theorems 11. Power spectra and Wiener's theorems 12. Generalized functions 13. Fourier transformation of generalized function I 14. Fourier transformation of generalized function II 15. Fourier series 16. Generalized Fourier series Bibliography Index.
Preface 1. Introduction 2. Lebesque integration 3. Some useful theorems 4. Convergence of sequences of functions 5. Local averages and convolution kernels 6. Some general remarks on Fourier transformation 7. Fourier theorems for good functions 8. Fourier theorems in Lp 9. Fourier theorems for functions outside Lp 10. Miscellaneous theorems 11. Power spectra and Wiener's theorems 12. Generalized functions 13. Fourier transformation of generalized function I 14. Fourier transformation of generalized function II 15. Fourier series 16. Generalized Fourier series Bibliography Index.
Es gelten unsere Allgemeinen Geschäftsbedingungen: www.buecher.de/agb
Impressum
www.buecher.de ist ein Shop der buecher.de GmbH & Co. KG Bürgermeister-Wegele-Str. 12, 86167 Augsburg Amtsgericht Augsburg HRA 13309