Necessary and Sufficient Conditions for a System of Eigenfunctions and Associated Functions of a Sturm-liouville Operator with Discontinuous Coefficients to Possess the Basis Property
Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 119
In this paper we establish necessary and sufficient
conditions which an arbitrary minimal and complete system of eigenfunctions
and associated functions of a Sturm--Liouville operator with discontinuous
coefficients must satisfy in order to have the basis property in the sense
of V.A.~Il'in [1].
Classification :
34B25
@article{PIM_1985_N_S_38_52_a16,
author = {Neboj\v{s}a L. La\v{z}eti\'c},
title = {Necessary and {Sufficient} {Conditions} for a {System} of {Eigenfunctions} and {Associated} {Functions} of a {Sturm-liouville} {Operator} with {Discontinuous} {Coefficients} to {Possess} the {Basis} {Property}},
journal = {Publications de l'Institut Math\'ematique},
pages = {119 },
year = {1985},
volume = {_N_S_38},
number = {52},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a16/}
}
TY - JOUR AU - Nebojša L. Lažetić TI - Necessary and Sufficient Conditions for a System of Eigenfunctions and Associated Functions of a Sturm-liouville Operator with Discontinuous Coefficients to Possess the Basis Property JO - Publications de l'Institut Mathématique PY - 1985 SP - 119 VL - _N_S_38 IS - 52 UR - http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a16/ LA - en ID - PIM_1985_N_S_38_52_a16 ER -
%0 Journal Article %A Nebojša L. Lažetić %T Necessary and Sufficient Conditions for a System of Eigenfunctions and Associated Functions of a Sturm-liouville Operator with Discontinuous Coefficients to Possess the Basis Property %J Publications de l'Institut Mathématique %D 1985 %P 119 %V _N_S_38 %N 52 %U http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a16/ %G en %F PIM_1985_N_S_38_52_a16
Nebojša L. Lažetić. Necessary and Sufficient Conditions for a System of Eigenfunctions and Associated Functions of a Sturm-liouville Operator with Discontinuous Coefficients to Possess the Basis Property. Publications de l'Institut Mathématique, _N_S_38 (1985) no. 52, p. 119 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_38_52_a16/