2013
DOI: 10.1007/s00028-013-0178-2
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Resolvent characterisation of generators of cosine functions and C 0-groups

Abstract: Abstract. The paper provides new characterisations of generators of cosine functions and C 0 -groups on UMD spaces and their applications to some classical problems in cosine function theory. In particular, we show that on UMD spaces, generators of cosine functions and C 0 -groups can be characterised by means of a complex inversion formula. This allows us to provide a strikingly elementary proof of Fattorini's result on square root reduction for cosine function generators on UMD spaces. Moreover, we give a co… Show more

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Cited by 8 publications
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