Construction of Hardy spaces on Riemann surfaces with boundaries

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00448470" target="_blank" >RIV/67985840:_____/15:00448470 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10773-014-2477-y" target="_blank" >http://dx.doi.org/10.1007/s10773-014-2477-y</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10773-014-2477-y" target="_blank" >10.1007/s10773-014-2477-y</a>

Result language
angličtina
Original language name
Construction of Hardy spaces on Riemann surfaces with boundaries
Original language description
We consider the holomorphic unramified mapping of two arbitrary finite bordered Riemann surfaces. Extending the map to the doubles X 1 and X 2 of Riemann surfaces we define the vector bundle on the second double as a direct image of the vector bundle onfirst double. The line bundles of half-order differentials ... and ... are chosen so that the vector bundle ... on X 2 would be the direct image of the vector bundle ... We then show that the Hardy spaces ... and ... are isometrically isomorphic. Using Theorems 3.1, 3.2 we then conjecture the existence a covariant functor from the category ... of finite bordered surfaces with vector bundle and signature matrices to the category of Kreinn spaces and isomorphisms which are ramified covering of Riemann surfaces.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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