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L-characteristics of fractional powers of difference operators

✍ Scribed by I. N. Gurova; P. E. Sobolevskii

Publisher
SP MAIK Nauka/Interperiodica
Year
1979
Tongue
English
Weight
547 KB
Volume
25
Category
Article
ISSN
0001-4346

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We use Fourier series to establish an integral representation of a right inverse of a difference operator which is the q-analogue of d. The kernel of this integral operator is ~/~4 and is the Rienmann mapping function that maps conformally the interior of an ellipse onto the open unit disc. We also

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We construct fractional powers of operators whose C-regularized resolvent Ε½ . y 1 Ε½ . 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