Minimal h2interpolation in the carathéodoryc lass

E. Beller; B. Pinchuk

doi:10.1090/S0002-9939-1978-0507325-8

Minimal h²interpolation in the carathéodoryc lass

E. Beller
, B. Pinchuk

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

For (c1,…, cn) in C, let C(c1,…, cn) denote the class of functions Formula Presented which are analytic and satisfy Re f(z) > 0 in the unit disc. The unique function of least H²norm in C(c1,…, cn) is explicitly determined.

Original language	English
Pages (from-to)	289-293
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	72
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1978-0507325-8
State	Published - Nov 1978

Keywords

Coefficient body
H
Minimal interpolation
Multiplier rule
Positive real part
Riesz-herglotz representation

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10.1090/S0002-9939-1978-0507325-8

Cite this

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abstract = "For (c1,…, cn) in C, let C(c1,…, cn) denote the class of functions Formula Presented which are analytic and satisfy Re f(z) > 0 in the unit disc. The unique function of least H2norm in C(c1,…, cn) is explicitly determined.",

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AB - For (c1,…, cn) in C, let C(c1,…, cn) denote the class of functions Formula Presented which are analytic and satisfy Re f(z) > 0 in the unit disc. The unique function of least H2norm in C(c1,…, cn) is explicitly determined.

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KW - H

KW - Minimal interpolation

KW - Multiplier rule

KW - Positive real part

KW - Riesz-herglotz representation

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ER -

Minimal h²interpolation in the carathéodoryc lass

Abstract

Keywords

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