Representation of generalized Toeplitz kernels with a finite number of negative squares

Bruzual Ramón and Domínguez Marisela and Lora Boris: Representation of generalized Toeplitz kernels with a finite number of negative squares. In: Acta scientiarum mathematicarum, (78) 1-2. pp. 111-128. (2012)

Cikk, tanulmány, mű math_078_numb_001_002_111-128.pdf Restricted to: SZTE network Download (1MB)

Abstract

Let F be a measurable «-indefinite generalized Toeplitz kernel defined on a, finite or infinite, interval. We prove that F = F^ -Iwhere is a «-indefinite generalized Toeplitz kernel given by four continuous functions and F ^ is a positive definite generalized Toeplitz kernel which vanishes almost everywhere. We also prove an extension result for measurable «-indefinite generalized Toeplitz kernels defined on a finite interval.

Item Type:	Article
Journal or Publication Title:	Acta scientiarum mathematicarum
Date:	2012
Volume:	78
Number:	1-2
ISSN:	0001-6969
Page Range:	pp. 111-128
Language:	English
Publisher:	Bolyai Institute, University of Szeged
Place of Publication:	Szeged
Official URL:	http://www.acta.hu
Related URLs:	http://acta.bibl.u-szeged.hu/38685/
Uncontrolled Keywords:	Matematika
Additional Information:	Bibliogr.: p. 127-128. ; összefoglalás angol nyelven
Subjects:	01. Natural sciences 01. Natural sciences > 01.01. Mathematics
Date Deposited:	2016. Oct. 15. 14:09
Last Modified:	2026. Mar. 06. 12:34
URI:	http://acta.bibl.u-szeged.hu/id/eprint/16422

Actions (login required)

View Item