Geodesic
Representation of the norming constants by two spectra
Electronic Journal of Differential Equations, Tome 2010 (2010).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The representation of the norming constants by 2 spectra was studied by Levitan, Gasymov (and others) for the Sturm-Liouville problem with boundary conditions $y(0)\cos\alpha +y'(0)\sin\alpha=0, y(\pi)\cos\beta+y'(\pi)\sin\beta =0$, when $\sin \alpha\neq 0$ and $\sin\beta\neq 0$. We investigate the representation by 2 spectra without these restrictions.
Classification : 34B24, 34B05, 34B09, 34L15
Keywords: Sturm-Liouville problem, eigenvalues, norming constants 
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     author = {Harutyunyan, Tigran N.},
     title = {Representation of the norming constants by two spectra},
     journal = {Electronic Journal of Differential Equations},
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     volume = {2010},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a76/}
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Harutyunyan, Tigran N. Representation of the norming constants by two spectra. Electronic Journal of Differential Equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a76/