Moment sequences for ultradistributions
Copyright policy )Moment sequences for ultradistributions
We present a necessary and sufficient condition for a sequence to be the moment sequence of an ultradistribution with compact support. This result extends Estrada and Kanwal's criterion for moment sequences of distributions and permits to handle a much larger class of dual Taylor expansions. Applications is made to a class of A-scalar operators (in the sense of Colojoara-Foiaş).
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510.mathematics, A-scalar operators, Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.), Topological linear spaces of test functions, distributions and ultradistributions, necessary and sufficient condition for a sequence to be the moment sequence of an ultradistribution with compact support, boundary value, Spectral operators, decomposable operators, well-bounded operators, etc., dual Taylor expansions, *-selfadjointness, Article, Operations with distributions and generalized functions
510.mathematics, A-scalar operators, Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.), Topological linear spaces of test functions, distributions and ultradistributions, necessary and sufficient condition for a sequence to be the moment sequence of an ultradistribution with compact support, boundary value, Spectral operators, decomposable operators, well-bounded operators, etc., dual Taylor expansions, *-selfadjointness, Article, Operations with distributions and generalized functions
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