We consider functions f l , fa analytic in the upper half plane and continuous in its closure and investigate the following problem: Suppose that the product flfa is bounded in the half plane and both factors are bounded on the real axis; which assumptions on the growth of fl are sufficient for fz
On a Class of Functions Analytic in a Half Disk and an Associated Interpolation Problem
β Scribed by D. Alpay; V. Bolotnikov
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 632 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
In this paper we introduce a class of functions analytic in a half disk and for which the Nevanlinna-Pick interpolation problem has a solution in terms of a linear fractional transformation. The method used to solve this problem is that of the fundamental matrix inequality, suitably adapted to the present situation.
c. 1994 Academic Press. Inc
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