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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Construction of characteristic functions for classes of infinitely differentiable functions


Authors: M. Allouche, R. Couture and C. T. Tsai
Journal: Proc. Amer. Math. Soc. 111 (1991), 119-126
MSC: Primary 26E10; Secondary 47B15
MathSciNet review: 1045584
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Abstract: Characteristic functions are constructed for classes of infinitely differentiable functions defined on a half-line and for Paley-Wiener classes. A corresponding result is given for normal operators defined in Hilbert space.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1991-1045584-2
PII: S 0002-9939(1991)1045584-2
Keywords: Classes of infinitely differentiable functions, characteristic functions, normal operators
Article copyright: © Copyright 1991 American Mathematical Society