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To prove Theorem 1.1 we shall combine some classical and rather explicit com- putations of Hasse (concerning Gauss sums) and Leopoldt (concerning integer rings in cyclotomic
In section 4, we prove a converse to the comparison theorem for BSDEs and then, with the help of this result we study the case when the generators do not depend on the variable y...
The rest of this paper is organized as follows: in section 2, we set the notations and give the main results. In section 3, we give a few remarks concerning the important
Then, we give sufficient conditions for a σ-finite measure to be invariant for this conditional process with any realization of the given Brownian motion.. In Section 4, we show
In this section we prove our main results showing that, if the group G is non commutative and under some mild additional assumptions, independence of the coefficients of the
In the case where all summands have the same conditional distribution given that they are non-zero, a bound on the relative entropy distance between their sum and the compound
Section 7 deals with an ap- plication to normal martingales, and in the appendix (Section 8 ) we prove the forward-backward Itˆ o type change of variable formula which is used in
In this section we prove a fixed point theorem in a complete metric space by employing notion of generalized w-distance.. The following Lemma is crucial in the proof of
