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type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the
In the three-dimensional flat space, a classical Hamiltonian, which has five functionally independent integrals of motion, including the Hamiltonian, is characterized
Proposition 2.5. Suppose that the Krull dimension of Λ is at least 3 and that X is a finitely generated, pseudo-null Λ-module. One can choose Λo so that X is a finitely
so.. Let us now concentrate on integral points. When the rank is one, the structure of the Mordell-Weil group is known, so we are using it to find integral points on C t. But, in
Some classes of multivariate in- finitely divisible distributions admitting stochastic integral representations.. A connection between free and classical
We propose an extension of Walsh’s classical martingale measure stochastic integral that makes it possible to integrate a general class of Schwartz distributions, which contains
Keywords Wiener space, Sobolev space, Stochastic integral, Fractional Brownian Motion, Itˆ o’s formula.. AMS Subject Classification (1991)
We obtain that the limit of the second order quadratic variation depends on the structure of the sequence of subdivisions, and one more time that the mesh must be at most o(1/ log
