Unbounded functional calculus for bounded groups with applications |
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Authors: | Boris Baeumer Markus Haase Mihály Kovács |
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Institution: | (1) Department of Mathematics and Statistics, University of Otago, Dunedin, New Zealand;(2) Delft Institute of Applied Mathematics, Delft University of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands |
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Abstract: | In this paper, we develop the unbounded extension of the Hille–Phillips functional calculus for generators of bounded groups.
Mathematical applications include the generalised Lévy–Khintchine formula for subordinate semigroups, the analyticity of semigroups
generated by fractional powers of group generators, where the power is not an odd integer, and a shifted abstract Grünwald
formula. We also give an application of the theory to subsurface hydrology, modeling solute transport on a regional scale
using fractional dispersion along flow lines.
M. Kovács is partially supported by postdoctoral grant No. 623-2005-5078 of the Swedish Research Council (VR). |
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Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 47A60 47D03 26A33 |
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