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Arithmetic operations with regular C-fractions

โœ Scribed by Lisa Lorentzen


Book ID
105172425
Publisher
Springer-Verlag
Year
1992
Tongue
English
Weight
359 KB
Volume
61
Category
Article
ISSN
0029-599X

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We construct fractional powers of operators whose C-regularized resolvent ลฝ . y 1 ลฝ . wyA C is O 1rw in an appropriate sector. This includes operators with polynomially bounded resolvent. Our construction has the properties one expects, analogous to the case when C s I; in particular, it satisfies m