Spectral asymptotics for problems with integral constraints
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Publication:679853
DOI10.1134/S0001434617090073zbMath1383.34101OpenAlexW2766012147MaRDI QIDQ679853
Publication date: 22 January 2018
Published in: Mathematical Notes (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0001434617090073
Gaussian processes (60G15) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)
Related Items (5)
Spectral equivalence of Gaussian random functions: operator approach ⋮ Orthogonality relations for the primitives of Legendre polynomials and their applications to some spectral problems for differential operators ⋮ On the spectra of boundary value problems generated by some one-dimensional embedding theorems ⋮ \( L_2\)-small ball asymptotics for Gaussian random functions: a survey ⋮ On sharp estimates of even-order derivatives in Sobolev spaces
Cites Work
- Karhunen-Loève expansions for the detrended Brownian motion
- Karhunen-Loève expansions for the \(m\)-th order detrended Brownian motion
- On exact constants in some embedding theorems of high order
- Comparison results for the lower tail of Gaussian seminorms
- Comparison theorems for small deviations of random series
- Exact \(L_2\)-small ball behavior of integrated Gaussian processes and spectral asymptotics of boundary value problems
- Exact small ball constants for some Gaussian processes under the \(L^2\)-norm
- A Karhunen-Loève expansion for a mean-centered Brownian bridge
- Lectures on Gaussian Processes
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