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  • Je dokázáno, že Berezinova transformace libovolného omezeného lineárního operátoru na Segal-Bargmannově prostoru má omezené derivace všech řádů. Podobné tvrzení platí i v kontextu omezených symetrických oblastí. Jsou diskutována i další zobecnění. (cs)
  • We show that the Berezin transform of any bounded linear operator on the Segal-Bargmann space is a function whose partial derivatives of all orders are bounded. Similar assertion holds in the context of bounded symmetric domains. Further generalizations are also discussed.
  • We show that the Berezin transform of any bounded linear operator on the Segal-Bargmann space is a function whose partial derivatives of all orders are bounded. Similar assertion holds in the context of bounded symmetric domains. Further generalizations are also discussed. (en)
Title
  • On the derivatives of the Berezin transform
  • O derivacích Berezinovy transformace (cs)
  • On the derivatives of the Berezin transform (en)
skos:prefLabel
  • On the derivatives of the Berezin transform
  • O derivacích Berezinovy transformace (cs)
  • On the derivatives of the Berezin transform (en)
skos:notation
  • RIV/67985840:_____/06:00043223!RIV07-AV0-67985840
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  • 2285;2294
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  • P(IAA1019304), Z(AV0Z10190503)
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  • 8
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  • 490441
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  • RIV/67985840:_____/06:00043223
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  • Bergman kernel; Berezin transform; bounded symmetric domain (en)
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  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [5E7033BD50F6]
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  • Proceedings of the American Mathematical Society
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  • 134
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  • Engliš, Miroslav
  • Zhang, G.
http://linked.open...n/vavai/riv/zamer
issn
  • 0002-9939
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