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A series representation for the Titchmarsh-Weyl \(m\)-function

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Publication:1206964
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DOI10.1016/0022-247X(92)90391-PzbMath0776.34005MaRDI QIDQ1206964

B. J. Harris

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)



Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Weyl theory and its generalizations for ordinary differential equations (34B20) Other functions coming from differential, difference and integral equations (33E30) Linear boundary value problems for ordinary differential equations (34B05)


Related Items (1)

The asymptotic nature of spectral functions in Sturm-Liouville problems with continuous spectrum



Cites Work

  • Unnamed Item
  • Series representation and asymptotics for Titchmarsh-Weyl m-functions
  • On the order of magnitude of Titchmarsh-Weyl functions
  • Absolutely Continuous Spectra of Second Order Differential Operators with Short and Long Range Potentials
  • An exact method for the calculation of certain Titchmarsh-Weyl m-functions
  • Asymptotics of the Titchmarsh-Weyl m-coefficient for integrable potentials


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