Representation of the norming constants by two spectra
Electronic journal of differential equations, Tome 2010 (2010)
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
@article{EJDE_2010__2010__a76,
     author = {Harutyunyan,  Tigran N.},
     title = {Representation of the norming constants by two spectra},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1222.34030},
     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/