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Eigenfunction expansions associated with second-order differential equations. Part 1 (1962)
Eigenfunction expansions associated with second-order differential equations. Part 1 [texte imprimé] / Edward Charles Titchmarsh, Auteur . - 2nd ed . - Oxford : Clarendon press, 1962 . - 203 p. ; 24 cm.
Notes bibliogr.
Langues : Anglais (eng)
Mots-clés : Differential equations
Series, Infinite
Harmonic analysisIndex. décimale : 517.5 Théorie des fonctions Note de contenu : Summary :
1. The sturm-liouville expansion.
2. The singular case : series expansions.
3. The general singular case.
4. Examples.
5. The nature of the spectrum.
6. An alternative method : transform theory.
7. The distribution of the eigenvalues.
8. General theorems on eigenfunctions.
9. Concergence of the expansion under fourier conditions.
10. Summability.
