On sets that are uniquely determined by a restricted set of integrals

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On Sets That Are Uniquely Determined by a Restricted Set of Integrals

In many applied areas, such as tomography and crystallography, one is confronted by an unknown subset 5 of a measure space (X, X) such as R" , or an unknown function 0 < (j> < 1 on X , having known moments (integrals) relative to a specified class F of functions f:X—*R. Usually, these F-moments do not fully determine the object S or function . We will say that 5 is a set of uniqueness if no ...

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 1990

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-1990-1076178-4