Toeplitz's operators on the 2-sphere

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On a general type of p-adic parabolic equations

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Revista Colombiana de Matemáticas

Print version ISSN 0034-7426

Abstract

PRIETO SANABRIA, ERNESTO. Toeplitz's operators on the 2-sphere. Rev.colomb.mat. [online]. 2009, vol.43, n.2, pp.87-99. ISSN 0034-7426.

In the article we study the Toeplitz operators defined on the 2-sphere. We show that the Toeplitz operators T_a with radial symbol, acting on the Bergman space A²_h(C), is unitary equivalent to a multiplication operator.

Keywords : Bergman space; Bergman projection; Toeplitz operator.

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