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Description: |
In this talk are presented results connected to the voice transform of the Blaschke group generated a representation of the group on the weighted Bergman spaces {\cal{H}}^m(\Bbb D). We give a representation U_a of Blaschke group on the weighted Bergman spaces {\cal{H}}^m(\Bbb D), we compute the matrix elements of the representation. It is proved that the representation is irreducible on {\cal{H}}^m(\Bbb D). Using the representation U_a we construct a rational orthonormal wavelet system and we prove that the weighted Bergman projection operator can be expressed using the voice transform and the wavelet system. The analogue of the Plancherel formulae is proved and
the square integrability of the representation is studied.
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Date: |
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| Start Time: |
14:30 |
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Speaker: |
Margit Pap (Univ. Pécs, Hungary)
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Institution: |
University of Pécs, Hungary
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Place: |
Room 5.5
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| Research Groups: |
-Analysis
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See more:
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