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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

An equiconvergence theorem for a class of eigenfunction expansions


Author: C. G. C. Pitts
Journal: Trans. Amer. Math. Soc. 189 (1974), 337-350
MSC: Primary 34B25
DOI: https://doi.org/10.1090/S0002-9947-1974-0330609-4
MathSciNet review: 0330609
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Abstract: A recent result of Muckenhoupt concerning the convergence of the expansion of an arbitrary function in terms of the Hermite series of orthogonal polynomials is generalised to a class of orthogonal expansions which arise from an eigenfunction problem associated with a second-order linear differential equation.


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DOI: https://doi.org/10.1090/S0002-9947-1974-0330609-4
Article copyright: © Copyright 1974 American Mathematical Society