The L p Behavior of Eigenfunction Expansions

DOI10.2307/1996112zbMath0291.34015OpenAlexW4229699561MaRDI QIDQ4041926

Harold E. Benzinger

Publication date: 1973

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1996112

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Ordinary differential operators (34L99)

Related Items

Pointwise and Norm Convergence of a Class of Biorthogonal Expansions ⋮ A Canonical Form for a Class of Ordinary Differential Operators ⋮ On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator ⋮ Unnamed Item ⋮ Spectral Families of Projections, Semigroups, and Differential Operators ⋮ Reguläre Eigenwertprobleme mit Mehrpunkt-Integral-Randbedingungen ⋮ Properties in L p of root functions for a nonlocal problem with involution ⋮ Completeness of Eigenvectors in Banach Spaces ⋮ On uniform and \(L^ p\)-convergence of eigenfunction expansions for indefinite eigenvalue problems ⋮ Stone-reguläre Eigenwertprobleme ⋮ An extension of Cauchy's criterion to Nörlund summability ⋮ Perturbation of the heat equation ⋮ A Biorthogonal Expansion Related to the Zeros of an Entire Function ⋮ Derived Birkhoff-Series associated with \(N(y)=\lambda P(y)\) ⋮ 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]