This article is cited in 44 papers

Harmonic analysis of causal operators and their spectral properties

A. G. Baskakov, I. A. Krishtal


Abstract: The definition and study of causal operators are based on the representation theory of group algebras. We study the structure of the spectra of causal operators, obtain conditions for causal invertibility and state criteria for a causal operator to belong to the radical.

UDC: 517.984.3

MSC: 47E05, 46H25, 47A35, 47D03, 47A06, 34G10, 47A10

Received: 22.01.2004

DOI: 10.4213/im639

 English version: Izvestiya: Mathematics, 2005, 69:3, 439–486

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