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Showing 1 to 2 of 2 for “"Left-definite Theory."”.
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Applied left-definite theory : the Jacobi polynomials, their Sobolev orthogonality, and self-adjoint operators.
… The key to this construction is the left-definite theory associated with the Jacobi differential equation, and the left-definite spaces and operators will be constructed explicitly. The results will then be generalized to the case where α > –1, β = –1.
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Glazman-Krein-Naimark theory, left-definite theory, and the square of the Legendre polynomials differential operator.
As an application of a general left-definite spectral theory, Everitt, Littlejohn and Wellman, in 2002, developed the left-definite theory associated with the classical Legendre self-adjoint second-order differential operator A in L² (−1, 1) which has the Legendre polynomials {Pn} ∞ n=0 as …