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On the formula of Jacques-Louis Lions for reproducing kernels of harmonic and other functions

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    SYSNO ASEP0106863
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JOstatní články
    TitleOn the formula of Jacques-Louis Lions for reproducing kernels of harmonic and other functions
    TitleO vzorci Jacques-Louiselionse pro reprodukující jádra harmonických a jiných funkcí
    Author(s) Engliš, Miroslav (MU-W) RID, ORCID, SAI
    Lukkassen, D. (NO)
    Peetre, J. (SE)
    Persson, L. E. (SE)
    Source TitleJournal für die Reine und Angewandte Mathematik: Crelles journal - ISSN 0075-4102
    Roč. 570, - (2004), s. 89-129
    Number of pages41 s.
    Languageeng - English
    CountryDE - Germany
    Keywordsformula of Jacques-Louis Lions ; Sobolev space ; Hilber space
    Subject RIVBA - General Mathematics
    R&D ProjectsIAA1019005 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z1019905 - MU-W
    AnnotationA simpler proof is given of the formula, due to J.-L. Lions, for the reproducing kernel of the space of harmonic functions on a domain whose boundary valuesbelong to a Sobolev space. Generalizations to the case when harmonic functions are replaced by functions annihilated by a given elliptic partial differential operator are also given.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2005
Number of the records: 1  

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