A generalized moment problem

D. Leviatan

doi:10.1007/BF02771628

A generalized moment problem

D. Leviatan^*

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Let {λ_n} (n≧0) satisfy (1.1) we are considering the following problems: What are the necessary and sufficient conditions on a sequence {μ_n} (n≧0) in order that it should possess the representation (1.2) where a(t) is of bounded variation or the representation (1.3) where f(t) ∈L_M[0, 1] or f(t) is essentially bounded.

Original language	English
Pages (from-to)	97-103
Number of pages	7
Journal	Israel Journal of Mathematics
Volume	5
Issue number	2
DOIs	https://doi.org/10.1007/BF02771628
State	Published - Apr 1967

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abstract = "Let \{λn\} (n≧0) satisfy (1.1) we are considering the following problems: What are the necessary and sufficient conditions on a sequence \{μn\} (n≧0) in order that it should possess the representation (1.2) where a(t) is of bounded variation or the representation (1.3) where f(t) ∈LM[0, 1] or f(t) is essentially bounded.",

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AB - Let {λn} (n≧0) satisfy (1.1) we are considering the following problems: What are the necessary and sufficient conditions on a sequence {μn} (n≧0) in order that it should possess the representation (1.2) where a(t) is of bounded variation or the representation (1.3) where f(t) ∈LM[0, 1] or f(t) is essentially bounded.

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A generalized moment problem

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