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On uniform and \(L^ p\)-convergence of eigenfunction expansions for indefinite eigenvalue problems

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Publication:583447
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DOI10.1007/BF01193756zbMath0692.34019MaRDI QIDQ583447

Franz-Josef Kaufmann, Gerhard Freiling

Publication date: 1990

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)


zbMATH Keywords

eigenfunction expansionstrigonometric Fourier seriesregular indefinite boundary eigenvalue problems


Mathematics Subject Classification ID

Ordinary differential operators (34L99)


Related Items (2)

Irregular boundary value problems revisited ⋮ Discontinuous boundary-value problems: expansion and sampling theorems




Cites Work

  • On the distribution of the eigenvalues of a class of indefinite eigenvalue problems
  • Expansion theorems for a class of regular indefinite eigenvalue problems
  • On convergence and growth of partial sums of Fourier series
  • Full- and partial-range eigenfunction expansions for Sturm-Liouville problems with indefinite weights
  • A survey of the regular weighted Sturm-Liouville problem - The non-definite case
  • The L p Behavior of Eigenfunction Expansions
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