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Creators/Authors contains: "Kuchment, Peter"

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  1. (, Journal of Mathematical Physics)
    The article surveys the known results and conjectures about the analytic properties of dispersion relations and Fermi surfaces for periodic equations of mathematical physics and their spectral incarnations. 
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    Full Text Available 
  2. ; (, Journal of Spectral Theory)
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  3. ; (, Pure and applied functional analysis)
    WeestablishabsolutecontinuityofthespectrumofaperiodicSchr¨odiner operatorin Rn with periodicperforations.Wealsoproveanalyticdependeceof the dispersionrelationontheshapeoftheperforation. 1. Introduction 
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    Accepted Manuscript Full Text Available
  4. ; (, Contemporary mathematics - American Mathematical Society)
    Let D and U be linear operators in a vector space (or more generally, elements of an associative algebra with a unit). We establish binomialtype identities for D and U assuming that either their commutator [D,U] or the second commutator [D, [D,U]] is proportional to U. Operators D = d/dx (differentiation) and U- multiplication by eλx or by sin λx are basic examples, for which some of these relations appeared unexpectedly as byproducts of an authors’ medical imaging research [2–5]. 
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  5. ; ; (, Inverse Problems)
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  6. ; ; (, Journal of Mathematical Physics)