منابع مشابه
An Analytic Approach to Stochastic Calculus
Version française abrégée Soit G un groupe de Lie connexe de dimension d dont l’algèbre de Lie G a pour base (X1, . . . , Xd). Soient (Bt)t∈IR+ un mouvement brownien à valeurs dans G, et N une mesure aléatoire de Poisson sur G× IR+, d’intensité μ(dσ)dt. Soit H l’ensemble des fonctions de Cc(G× IR+) qui s’annulent sur {e} × IR+ et telles que σ 7→ f(σ, t) est différentiable en e, t ∈ IR+. Nous dé...
متن کاملOperator Calculus Approach to Solving Analytic Systems
Solving analytic systems using inversion can be implemented in a variety of ways. One method is to use Lagrange inversion and variations. Here we present a different approach, based on dual vector fields. For a function analytic in a neighborhood of the origin in the complex plane, we associate a vector field and its dual, an operator version of Fourier transform. The construction extends natur...
متن کاملAn analytic study on the Euler-Lagrange equation arising in calculus of variations
The Euler-Lagrange equation plays an important role in the minimization problems of the calculus of variations. This paper employs the differential transformation method (DTM) for finding the solution of the Euler-Lagrange equation which arise from problems of calculus of variations. DTM provides an analytical solution in the form of an infinite power series with easily computable components. S...
متن کاملNon-commutative Functional Calculus
We develop a functional calculus for d-tuples of non-commuting elements in a Banach algebra. The functions we apply are free analytic functions, that is nc functions that are bounded on certain polynomial polyhedra.
متن کاملThe Functional Calculus
One of the interesting developments in spectral theory recently has been the application of a new formula for a function j{H) of a self-adjoint operator H by Helffer and Sjostrand [8]. This formula, equation (5) below, depends upon the use of almost analytic extensions of functions initially defined on the real line, an idea due to Hormander [10; 11, p. 63]. One of its main advantages is that i...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1985
ISSN: 0001-8708
DOI: 10.1016/0001-8708(85)90023-4