Journal article
A non-analytic growth bound for Laplace transforms and semigroups of operators
- Abstract:
- Let f : ℝ+ → ℂ be an exponentially bounded, measurable function. We introduce a growth bound ζ(f) which measures the extent to which f can be approximated by holomorphic functions. This growth bound is related to the location of the domain of holomorphy of the Laplace transform of f far from the real axis. The definition extends to vector and operator-valued cases. For a C0-semigroup T of operators, ζ(T) is closely related to the critical growth bound of T.
- Publication status:
- Published
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- Publisher copy:
- 10.1007/s000200300000
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Bibliographic Details
- Journal:
- INTEGRAL EQUATIONS AND OPERATOR THEORY
- Volume:
- 45
- Issue:
- 2
- Pages:
- 125-154
- Publication date:
- 2003-02-05
- DOI:
- ISSN:
-
0378-620X
- URN:
-
uuid:5800a3bd-55d4-491c-9711-03c063b75b3e
- Source identifiers:
-
14281
- Local pid:
- pubs:14281
Item Description
- Language:
- English
- Keywords:
Terms of use
- Copyright date:
- 2003
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