Star-Generating Vectors of Rudin's Quotient Modules

2014/04/27 by Chattopadhyay, Arup, Das, B. Krishna, Sarkar, Jaydeb
#46M05 #47A13 #47A15 #47A16 #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1404.6829

Abstract

The purpose of this paper is to study a class of quotient modules of the Hardy module H²(Dⁿ). Along with the two variables quotient modules introduced by W. Rudin, we introduce and study a large class of quotient modules, namely Rudin's quotient modules of H²(Dⁿ). By exploiting the structure of minimal representations we obtain an explicit co-rank formula for Rudin's quotient modules.

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