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- W1998697678 abstract "In this paper we construct fractional and imaginary powers for the positive momentum B of a spectral distribution and prove the basic properties. The main result is that for any a > 0, -BO, generates a bounded strongly continuous holomorphic semigroup of angle 2 . In particular for a = 1 , using Stone's generalized theorem, if iB generates a k-times integrated group of type O(It1k) with a(B) C [0, +oo[, then -B generates a strongly continuous holomorphic semigroup of angle I . A similar corollary is given in the regularized group situation." @default.
- W1998697678 created "2016-06-24" @default.
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- W1998697678 date "1995-06-01" @default.
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- W1998697678 title "Fractional powers of momentum of a spectral distribution" @default.
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- W1998697678 doi "https://doi.org/10.1090/s0002-9939-1995-1242090-0" @default.
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