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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/113/03/0281-0291

    • Keywords

       

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

    • Abstract

       

      LetM be a Hilbert module of holomorphic functions over a natural function algebraA(Ω), where Ω ⊆ ℂm is a bounded domain. LetM0 ⊆M 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 =M ⊖M0 The invariants are given explicitly in the particular case ofk = 2.

    • Author Affiliations

       

      Ronald G Douglas1 Gadadhar Misra1 2

      1. Texas A&M University, College Station, Texas - 77843, USA
      2. Indian Statistical Institute, R.V. College Post, Bangalore - 560 059, India

    • Dates

       
      Published
      August 2003
      Manuscript received
      15 June 2002

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