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Orthogonal polynomials and moment problem
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Date
2004
Author
Topkara, Mustafa
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The generalized moment of order k of a mass distribution sigma for a natural number k is given by integral of lambda to the power k with respect to mass distribution sigma and variable lambda. In extended moment problem, given a sequence of real numbers, it is required to find a mass distribution whose generalized moment of order k is k'th term of the sequence. The conditions of existence and uniqueness of the solution obtained by Hamburger are studied in this thesis by the use of orthogonal polynomials determined by a measure on real line. A chapter on the study of asymptotic behaviour of orthogonal functions on compact subsets of complex numbers is also included.
Subject Keywords
Moment problems (Mathematics).
,
Orthogonal polynomials.
URI
http://etd.lib.metu.edu.tr/upload/1109164/index.pdf
https://hdl.handle.net/11511/13892
Collections
Graduate School of Natural and Applied Sciences, Thesis
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M. Topkara, “Orthogonal polynomials and moment problem,” M.S. - Master of Science, Middle East Technical University, 2004.