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Equiconvergence theorems for differential operators

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Abbreviations

b.v.p.:

boundary-value problems

e.f.:

eigenfunctions

e.a.f.:

eigenfunctions and associated eigenfunctions

e.v.:

eigenvalues

ch.v.:

characteristic values

f.s.s.:

fundamental system of solutions

sp.f.:

spectral function

g.sp.f.:

generalized spectral function

s.a.:

self-adjoint

span:

minimal closed subspace containing a given set of elements

[a]:= a + O(1/ρ):

the Birkhoff symbol

Entier(h):

the largest integer ≤h

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  1. A. M. Minkin
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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory. Vol. 49, Functional Analysis-4, 1997.

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Minkin, A.M. Equiconvergence theorems for differential operators. J Math Sci 96, 3631–3715 (1999). https://doi.org/10.1007/BF02172664

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