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Cosine representations of Bochner type

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Abstract

Conditions under which a function can be represented as an cosine integral tranform of a positive Borel measure are investigated. Like in the classical Bochner case positive definiteness plays the major role among them.

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References

  1. Faulkner G.D., Shonkwiler R.W.,Cosine representation of abelian *-semigroups and generalized cosine operator function, Can. J. Math.30 (1978), 474–482.

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  2. Niechwiej J.,Cosine families of unbounded normal operators, Ann. Polon. Math.50 (1990), 191–208.

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  3. Szafraniec F.H.,Boundedness of the shift operator related to the positive definite forms: an application to moment problems, Ark. Mat19 (1981), 251–259.

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Niechwiej, J., Szafraniec, F.H. Cosine representations of Bochner type. Rend. Circ. Mat. Palermo 39, 486–492 (1990). https://doi.org/10.1007/BF02844776

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  • DOI: https://doi.org/10.1007/BF02844776

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