Equivalence of quotient Hilbert modules

Article

DOI: 10.1007/BF02829607

Cite this article as:
Douglas, R.G. & Misra, G. Proc. Indian Acad. Sci. (Math. Sci.) (2003) 113: 281. doi:10.1007/BF02829607

Abstract

LetM be a Hilbert module of holomorphic functions over a natural function algebraA(Ω), where Ω ⊆ ℂm is a bounded domain. LetM0M be the submodule of functions vanishing to orderk on a hypersurfaceZ ⊆ Ω. We describe a method, which in principle may be used, to construct a set of complete unitary invariants for quotient modulesQ =MM0 The invariants are given explicitly in the particular case ofk = 2.

Keywords

Hilbert modules function algebra quotient module longitudinal and transversal curvature kernel function jet and angle 

Copyright information

© Indian Academy of Sciences 2003

Authors and Affiliations

  1. 1.Texas A&M UniversityTexasUSA
  2. 2.Indian Statistical InstituteBangaloreIndia

Personalised recommendations