On interpolation for Hardy functions in a certain class of domains under moment type constraints

D. Alpay; V. Bolotnikov; Ph Loubaton

On interpolation for Hardy functions in a certain class of domains under moment type constraints

D. Alpay, V. Bolotnikov, Ph Loubaton

Department of Mathematics

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

4 Scopus citations

Abstract

We use reproducing kernel methods to characterize H₂ functions satisfying certain second order conditions. As an application we get a description of all solutions of the left-sided residue interpolation problem under the second order constraints.

Original language	English
Pages (from-to)	539-571
Number of pages	33
Journal	Houston Journal of Mathematics
Volume	23
Issue number	3
State	Published - 1 Dec 1997

ASJC Scopus subject areas

General Mathematics

Cite this

@article{4cfdfcb81b964952a5e6e5d76512793e,

title = "On interpolation for Hardy functions in a certain class of domains under moment type constraints",

abstract = "We use reproducing kernel methods to characterize H2 functions satisfying certain second order conditions. As an application we get a description of all solutions of the left-sided residue interpolation problem under the second order constraints.",

author = "D. Alpay and V. Bolotnikov and Ph Loubaton",

year = "1997",

month = dec,

day = "1",

language = "English",

volume = "23",

pages = "539--571",

journal = "Houston Journal of Mathematics",

issn = "0362-1588",

publisher = "University of Houston",

number = "3",

}

TY - JOUR

T1 - On interpolation for Hardy functions in a certain class of domains under moment type constraints

AU - Alpay, D.

AU - Bolotnikov, V.

AU - Loubaton, Ph

PY - 1997/12/1

Y1 - 1997/12/1

N2 - We use reproducing kernel methods to characterize H2 functions satisfying certain second order conditions. As an application we get a description of all solutions of the left-sided residue interpolation problem under the second order constraints.

AB - We use reproducing kernel methods to characterize H2 functions satisfying certain second order conditions. As an application we get a description of all solutions of the left-sided residue interpolation problem under the second order constraints.

UR - https://www.scopus.com/pages/publications/0031498545

M3 - Article

AN - SCOPUS:0031498545

SN - 0362-1588

VL - 23

SP - 539

EP - 571

JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

IS - 3

ER -

On interpolation for Hardy functions in a certain class of domains under moment type constraints

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this