White Noise Representation of Earthquakes

White Noise Representation of Gaussian Random Fields

We obtain a representation theorem for Banach space valued Gaussian random variables as integrals against a white noise. As a corollary we obtain necessary and sufficient conditions for the existence of a white noise representation for a Gaussian random field indexed by a measure space. We then show how existing theory for integration with respect to Gaussian processes indexed by [0, 1] can be ...

Pervasive white and colored noise removing from magnetotelluric time series

Magnetotellurics is an exploration method which is based on measurement of natural electric and magnetic fields of the Earth and is increasingly used in geological applications, petroleum industry, geothermal sources detection and crust and lithosphere studies. In this work, discrete wavelet transform of magnetotelluric signals was performed. Discrete wavelet transform decomposes signals into c...

White Noise Analysis on manifolds and irreducibility of the energy representation of a gauge group

The energy representation of a gauge group on a Riemannian manifold has been discussed by several authors, for instance, in Refs. 1, 2, 4, 5, 7 and 13. Their methods are essentially to reduce the problem to the estimate of the support of a Gaussian measure in an infinite dimensional space. The best result in this direction seems to be the one in Ref. 13. After all these contributions, the irred...

On Irreducibility of the Energy Representation of the Gauge Group and the White Noise Distribution Theory

We consider the energy representation for the gauge group. The gauge group is the set of C∞mappings from a compact Riemannian manifold to a semi-simple compact Lie group. In this paper, we obtain irreducibility of the energy representation of the gauge group for any dimension of M . To prove irreducibility for the energy representation, we use the fact that each operator from a space of test fu...

WhIte noISe: overComIng overStImulAtIon