Browsing Mathematics, Statistics, and Physics by Subject "Fourier transform"
Now showing items 15 of 5

Increasing stability in the two dimensional inverse source scattering problem with attenuation and many frequencies
(IOP Publishing, 20180822)In this paper, we investigate the interior inverse source problem for the Helmholtz equation with attenuation in the plane from boundary Cauchy data of multiple frequencies when the source term is assumed to be compactly ... 
On increasing stability of the continuation for elliptic equations of second order without (Pseudo)convexity assumptions
(American Institute of Mathematical Sciences, 201910)We derive bounds of solutions of the Cauchy problem for general elliptic partial differential equations of second order containing parameter (wave number) k which are getting nearly Lipschitz for large k. Proofs use energy ... 
Planartemporal stationary correlation models that depend on the maximum norm
(IEEE, 200703)It is useful to have various stochastic models to describe a wide range of spatial or spatiotemporal dependence and interaction. Two families of planartemporal stationary correlation functions are proposed in this ... 
Recent developments on the construction of spatiotemporal covariance models
(SpringerVerlag, 2008)This paper briefly surveys some recent advances on how to construct spatiotemporal covariance functions, with the emphasis on the methods which can be used to derive covariance functions but not on a summary list of ... 
Stationary random fields in space and time with rational spectral densities
(IEEE, 200703)This paper introduces three spatio–temporal stationary random fields with simple correlation functions and rational spectral densities. The correlation functions have similar forms, but are defined on different space–time ...