
doi: 10.1007/bf00934439
The purpose of this paper is to show that the general theory of quadratic forms developed earlier by the author is applicable to singular variational problems as well as to nonsingular ones. In particular, this general theory is applicable to the singular variational problems associated with Legendre polynomials, associated Legendre polynomials, Jacobi polynomials, and Tchebysheff polynomials.
quadratic forms in Hilbert space, General binary quadratic forms, Inner product spaces and their generalizations, Hilbert spaces, singular variational problems, Existence theories for problems in abstract spaces, Quadratic and bilinear forms, inner products, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials
quadratic forms in Hilbert space, General binary quadratic forms, Inner product spaces and their generalizations, Hilbert spaces, singular variational problems, Existence theories for problems in abstract spaces, Quadratic and bilinear forms, inner products, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials
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