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Introduction to the theory of Fourier integrals (1948)
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 seriesIndex. 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.
