Nonstationary Szegö theorem, band sequences and maximum entropy

A. Ben-Artzi; I. Gohberg

doi:10.1007/BF01236651

Nonstationary Szegö theorem, band sequences and maximum entropy

A. Ben-Artzi^*, I. Gohberg

^*Corresponding author for this work

School of Mathematical Sciences

Tel Aviv University

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

3 Scopus citations

Abstract

Well known theorems concerning positive definite extensions of banded Toeplitz matrices are generalized. The proofs are based upon the theory of m-sequences which is developed herein. The nonstationary versions of the maximum distance and maximum entropy problems are discussed.

Original language	English
Pages (from-to)	10-27
Number of pages	18
Journal	Integral Equations and Operator Theory
Volume	11
Issue number	1
DOIs	https://doi.org/10.1007/BF01236651
State	Published - Jan 1988

Access to Document

10.1007/BF01236651

Cite this

@article{6a261b4548434acf9aa15134d52377cf,

title = "Nonstationary Szeg{\"o} theorem, band sequences and maximum entropy",

abstract = "Well known theorems concerning positive definite extensions of banded Toeplitz matrices are generalized. The proofs are based upon the theory of m-sequences which is developed herein. The nonstationary versions of the maximum distance and maximum entropy problems are discussed.",

author = "A. Ben-Artzi and I. Gohberg",

year = "1988",

month = jan,

doi = "10.1007/BF01236651",

language = "אנגלית",

volume = "11",

pages = "10--27",

journal = "Integral Equations and Operator Theory",

issn = "0378-620X",

publisher = "Birkhauser Verlag Basel",

number = "1",

}

TY - JOUR

T1 - Nonstationary Szegö theorem, band sequences and maximum entropy

AU - Ben-Artzi, A.

AU - Gohberg, I.

PY - 1988/1

Y1 - 1988/1

N2 - Well known theorems concerning positive definite extensions of banded Toeplitz matrices are generalized. The proofs are based upon the theory of m-sequences which is developed herein. The nonstationary versions of the maximum distance and maximum entropy problems are discussed.

AB - Well known theorems concerning positive definite extensions of banded Toeplitz matrices are generalized. The proofs are based upon the theory of m-sequences which is developed herein. The nonstationary versions of the maximum distance and maximum entropy problems are discussed.

UR - http://www.scopus.com/inward/record.url?scp=34250095726&partnerID=8YFLogxK

U2 - 10.1007/BF01236651

DO - 10.1007/BF01236651

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:34250095726

SN - 0378-620X

VL - 11

SP - 10

EP - 27

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

IS - 1

ER -

Nonstationary Szegö theorem, band sequences and maximum entropy

Abstract

Access to Document

Other files and links

Fingerprint

Cite this