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Departamento de Matemática Técnico Técnico

Seminário de Teoria de Operadores, Análise Complexa e Aplicações  RSS

20/06/2013, 16:30 — 17:30 — Sala P3.10, Pavilhão de Matemática
, Universidade de Coimbra

Berezin Calculus over Weighted Bergman Spaces of Polyanalytic type

Starting from the Poincaré metric ds 2 =1 2 πi(1 z 2 ) 2 dzdz on the the unit disk 𝔻, we will study the range of the Berezin transforms generated from the normalized kernel function K ζ n(z)=K n(z,ζ)K n(ζ,ζ) 1 2 regarding the weighted polyanalytic Bergman spaces A n α(𝔻) of order n. Special emphasize will be given to the invariance of the range of the Berezin transformation under the action of the Möbius transformations φ ζ(z)=za1 ζz. Connection between Berezin calculus over weighted Bergman spaces of polyanalytic type on the disk 𝔻 and on the upper half space + will also be discussed along the talk.

Seminário organizado no contexto do projecto PTDC/MAT/121837/2010.

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