Analysis Seminar @CMUC May, 14

Analysis Seminar @CMUC (Center for Mathematics of the University of Coimbra)

Speaker: Margit Pap (Uni. Pécs, Hungary)

Title: THE VOICE TRANSFORM GENERATED BY A
REPRESENTATION OF THE BLASCHKE GROUP ON THE WEIGHTED BERGMAN SPACES

Abstract: 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.
Sections 4 contains the proofs.}

Date: May, 14 (Friday), 14h30.

Room 5.5

abstractM_Pap.pdf

Leave a Reply

Please log in using one of these methods to post your comment:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s