Half-plane approximation with radial functions
β Scribed by M.D. Buhmann
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 777 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
## Abstract We consider Toeplitz operators over the discrete half plane with generating functions admitting discontinuities of special kind which we call homogenous ones. The main results are the criteria of invertibility and oneβsided invertibility of such operators. (Β© 2007 WILEYβVCH Verlag GmbH
Let ~Β’ he the class of normalized analytic functions in the unit disk A, F (a,b;c;z) and ~(a;c;z) denote respectively, the Gaussian and confluent hypergeometfic functions. Let ~(fl) = {f E ~1:3 r/C β’ such that Re [ein(f'(z) -fl)] >0, z C A}. For f E sO, we define the hypergeometric transforms Va, b;