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The aim of this paper is to show that it is possible to tackle the problem of quantizing an extension of the PU oscillator within a Lagrangian and a canonical ormulation, using
The purpose of this Note is to give an extension to the Lagrange identity [1] and [2], and then an extension to the Cauchy-Bouniakovsky inequality, since the right hand side
Our approach is based on an extension of stress minimization with a weighting scheme that gradually imposes radial constraints on the inter- mediate layout during the
In this section we will apply the Young integral and rough path integral of local time defined in sections 2 and 3 to prove a useful extension to Itˆ o’s formula.. Assume the
Theorem 1. ., be an arbitrary sequence of elements of Ω i.e.. The result in b) suggest an obvious algorithm for generating perfect samples from the common row-distribution of M ω
Proof : The only problem is to prove formula (4), that is to prove that u is the sum of its Taylor expansion with respect to λ. In the case where A is a complex Banach algebra,
We show that the class of Banach spaces for which (∗) holds whenever only g satisfies the (CI) condition is more general than the class of UMD spaces, in particular it includes the
Abstract. We obtain strong convergence results for quasi-contractive operators in arbitrary Banach space via some recently introduced iterative schemes and also establish