The Fourier transform of an unbounded spectral distribution
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- by Brian Kritt PDF
- Proc. Amer. Math. Soc. 35 (1972), 74-80 Request permission
Abstract:
The Fourier transform of an unbounded spectral distribution is studied: An explicit integral representation is obtained; connections are drawn to the associated generalized scalar operator. It is proved that every generalized pseudo-hermitian operator is the infinitesimal generator of a temperate ${C_0}$ group.References
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- Brian Kritt, Generalized pseudo-hermitian operators, Proc. Amer. Math. Soc. 30 (1971), 343–348. MR 281046, DOI 10.1090/S0002-9939-1971-0281046-5
- Brian Kritt, A theory of unbounded generalized scalar operators, Proc. Amer. Math. Soc. 32 (1972), 484–490. MR 293437, DOI 10.1090/S0002-9939-1972-0293437-8
Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 35 (1972), 74-80
- MSC: Primary 47B40
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296731-X
- MathSciNet review: 0296731