Bi-Positive Sequences the Bilateral Moment Problem

Vinuesa, Jaime; Guadalupe, Rafael

doi:10.4153/cmb-1986-072-8

Can. math. bull.

1986

DOI: 10.4153/cmb-1986-072-8

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Bi-Positive Sequences the Bilateral Moment Problem

Jaime Vinuesa¹,

Rafael Guadalupe²

Abstract: We pose a “moment problem” in a more general setting than the classical one. Then we find a necessary and sufficient condition for a sequence to have a solution of the “problem“where σ is a “distribution function”.

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The Stieltjes Moment Problem with Complex Exponents

Durán

1992

Mathematische Nachrichten

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In this paper, we characterize the complex sequences (zJn which satisfy the following condition: For each complex sequence (an)", there exists a function f such that the functions t z n f ( t ) are LEBESGUE integrable and a,= t z n f ( t ) d t for all neN. In this case, we give for every sequence (a")" infinitely many Cm functions f satisfying some growth conditions in x = O and x = + co, and such that a, = m 0 . m t'"f(t)dt.Finally, we extend this result fo; BANACH space valued functions.

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The Stieltjes Moment Problem with Complex Exponents

Durán

1992

Mathematische Nachrichten

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Orthogonal Laurent polynomials and strong moment theory: a survey

Jones

Njåstad

1999

Journal of Computational and Applied Mathematics

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Bi-Positive Sequences the Bilateral Moment Problem

Abstract: We pose a “moment problem” in a more general setting than the classical one. Then we find a necessary and sufficient condition for a sequence to have a solution of the “problem“where σ is a “distribution function”.

Cited by 2 publications

References 2 publications

The Stieltjes Moment Problem with Complex Exponents

The Stieltjes Moment Problem with Complex Exponents

Orthogonal Laurent polynomials and strong moment theory: a survey

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