manuscripta mathematica

, Volume 41, Issue 1–3, pp 109–138 | Cite as

C*-algebras of singular integral operators on the line related to singular Sturm-Liouville problems

  • Houshang H. Sohrab


We study certain C*-algebras of singular integral operators on the line related to the second order ordinary differential operators Ho=-d/dx p(x) d/dx + q(x), with smooth coefficients and domain C o (ℝ) on L2(IR). Using Gelfand theory we find the structure of such algebras and deduce Fredholm criteria for related classes of ordinary differential operators of all orders. We give a complete description of some special cases including the case where p=l and where q≥1 is an even polynomial of arbitrary even degree.


Differential Operator Number Theory Integral Operator Algebraic Geometry Topological Group 
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Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • Houshang H. Sohrab
    • 1
  1. 1.Department of MathematicsUniversity of KansasLawrenceUSA

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