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MULTIVARIABLE ISOMETRIES RELATED TO CERTAIN CONVEX DOMAINS

Authors
  • ATHAVALE, A
Publication Date
Dec 03, 2018
Identifiers
DOI: 10.1002/2014GL061345
OAI: oai:dsapce.library.iitb.ac.in:100/23494
Source
DSpace at IIT Bombay
Keywords
License
Unknown
External links

Abstract

Several interesting results exist in the literature on subnormal operator tuples having their spectral properties tied to the geometry of strictly pseudoconvex domains or to that of bounded symmetric domains in C-n. We introduce a class Omega((n)) of convex domains in C-n which, for n >= 2, is distinct from the class of strictly pseudoconvex domains and the class of bounded symmetric domains and which lends itself to the application of theories related to the abstract inner function problem and the (partial derivative)over-bar-Neumann problem, allowing us to make a number of interesting observations about certain subnormal operator tuples associated with the members of the class Omega((n)).

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