Equivalence in \(L_ p[0,1]\) of the system \(e^{i2\pi kx}\) \((k=0,\pm 1,\dots )\) and the system of the eigenfunctions of an ordinary functional-differential operator

DOI10.1007/BF01137059zbMath0733.34070OpenAlexW2016934711MaRDI QIDQ810243

G. V. Radzievskij, Alexander Gomilko

Publication date: 1991

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01137059

zbMATH Keywords

equivalencefunctional-differential equationboundary-value problemeigenfunctionsHölder spacebounded linear operatorgeneralized eigenfunctions

Mathematics Subject Classification ID

Boundary value problems for functional-differential equations (34K10)

Related Items (2)

On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator ⋮ Properties in L p of root functions for a nonlocal problem with involution

Cites Work

• The development of general differential and general differential-boundary systems
• The L p Behavior of Eigenfunction Expansions
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