Tauberian and Abelian theorems for correlation function of a homogeneous isotropic random field
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Publication:1190932
DOI10.1007/BF01066693zbMath0753.60048MaRDI QIDQ1190932
Andrew Ya. Olenko, Nikolai N. Leonenko
Publication date: 27 September 1992
Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)
Random fields (60G60) Random fields; image analysis (62M40) Special integral transforms (Legendre, Hilbert, etc.) (44A15)
Related Items (9)
Non-Gaussian scenarios for the heat equation with singular initial conditions ⋮ On the limit distribution of the correlogram of a stationary Gaussian process with weak decrease in correlation ⋮ Sojourn measures of Student and Fisher-Snedecor random fields ⋮ Bispectrum and a non-linear model for a non-Gaussian homogenous and isotropic field in 3D ⋮ Tauberian and Abelian theorems for long-range dependent random fields ⋮ Exact parabolic asymptotics for singular \(n\)-D Burgers' random fields: Gaussian approximation ⋮ Gaussian fields and Gaussian sheets with generalized Cauchy covariance structure ⋮ Parameter identification for singular random fields arising in Burgers' turbulence ⋮ On the rate of convergence to the normal law for solutions of the Burgers equation with singular initial data.
Cites Work
- Multiple Wiener-Ito integrals. With applications to limit theorems
- Expansion in series of homogeneous temperature functions of the first and second kinds
- Convergence of integrated processes of arbitrary Hermite rank
- Non-central limit theorems for non-linear functional of Gaussian fields
- A Tauberian Theorem for Integral Transforms of Hankel Type
- COMPLEX FOURIER--BESSEL TRANSFORMS
- A Table of Ramanujan's Function τ(n )
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