A q-Analog of the Hua Equations

  • O. Bershtein B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine
  • S. Sinel’shchikov B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkiv, 61103, Ukraine

Анотація

A necessary condition is established for a function to be in the image of a quantum Poisson integral operator associated to the Shilov boundary of the quantum matrix ball. A quantum analogue of the Hua equations is introduced.

Mathematics Subject Classification: 81R50, 17B37, 31B10.

Ключові слова:

quantum matrix ball, Shilov boundary, Poisson integral operator, invariant kernel, Hua equations

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Як цитувати

(1)
O. Bershtein і S. Sinel’shchikov, A q-Analog of the Hua Equations, Журн. мат. фіз. анал. геом. 5 (2009), 219-244.

Номер

Том 5 № 3 (2009)

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