Introduction to the theory of Fourier integrals [texte imprimé] /
Edward Charles Titchmarsh, Auteur . - 2nd ed . -
Oxford : Clarendon press, 1948 . - VIII, 391 p. ; 24 cm.
Bibliogr. p. [370]-391. Index.
Langues : Anglais (
eng)
| Mots-clés : |
Calcul infinitésimal
Fourier series |
| Index. décimale : |
517.3 Calcul intégral. Intégration |
| Résumé : |
The object of this book is to give a more systematic account of the elements of the theory of Fourier integrals than has hitherto been given. The reader requires only a general knowledge of analysis, though he will presumably be familiar with the lements of the theory of Fourier series. |
| Note de contenu : |
Summary :
1. Convergence and summability.
2. Auxiliary formulae.
3. Transforms of the class L2
4. Transforms of other L-classes.
5. Conjuagte intégrals : hilbert transforms.
6. Uniqueness and miscellaneous theorems.
7. Examples and applications.
8. General transformations.
9. Seld-reciprocal functions.
10. Differential and difference equations.
11. Integral equations. |
Introduction to the theory of Fourier integrals (1948)
