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In the absence of local lifting obstructions, the global obstruction lies in a Tate{Shafarevich
group that can be analyzed via Tate duality. But we want more, namely to preserve local
properties of ...
Real harmonizable multifractional stable process and its local properties
Stable process harmonizable process multifractionality
2010/12/31
A real harmonizable multifractional stable process is defined, its H¨older continuity and localizability are proved. The existence of local time is shown and its regularity is established.
Local properties of Hilbert spaces of Dirichlet series
Local properties Hilbert spaces Dirichlet series
2010/11/1
We show that the asymptotic behavior of the partial sums of a sequence of positive numbers determine the local behavior of the Hilbert space of Dirichlet series defined using these as weights. This ex...
The local properties of the Markov processes of Ornstein-Uhlenbeck type
local time Markov process of Ornstein-Uhlenbeck type L´ evy process
2010/9/1
We prove the existence of a local time, the continuity of the local time about t, and the regular property for a.e. x ∈ R of a Ornstein-Uhlenbeck type {Xt, t ∈ R+} driven by a general L´evy proc...