Indefinite Hardy spaces on finite bordered Riemann surfaces
type: Item
instance of: scholarly article
title: Indefinite Hardy spaces on finite bordered Riemann surfaces
zbMATH Open document ID: 0952.30035
author: Daniel Alpay
author: Victor Vinnikov
published in: Journal of Functional Analysis
publication date: 2000-05-09T00:00:00Z
review text: Indefinite inner products obtained by picking up different signs when integrating over different components were considered. Necessary and sufficient conditions were found for such an indefinite inner product to be nondegenerate. It was shown that when this condition is satisfied a Krein space is received. The elements of the space are sections of a vector bundle rather than functions. Appropriate extension of this bundle to the double of the finite bordered Riemann surface was constructed.
Mathematics Subject Classification ID: 30F10
Mathematics Subject Classification ID: 46C20
zbMATH DE Number: 1443267
zbMATH Keywords: indefinite inner product
zbMATH Keywords: Krein space
zbMATH Keywords: Riemann surface
MaRDI profile type: Publication
full work available at URL: jfan.1999.3549
OpenAlex ID: W1966265522
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DOI: 10.1006/JFAN.1999.3549
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