Results 1 to 10 of about 203,888 (281)

Stein meets Malliavin in normal approximation [PDF]

open access: yes, 2015
Stein's method is a method of probability approximation which hinges on the solution of a functional equation. For normal approximation the functional equation is a first order differential equation.
Chen, Louis H. Y.
core   +1 more source

On power series expansions of the S-resolvent operator and the Taylor formula

open access: yes, 2015
The $S$-functional calculus is based on the theory of slice hyperholomorphic functions and it defines functions of $n$-tuples of not necessarily commuting operators or of quaternionic operators.
Colombo, Fabrizio, Gantner, Jonathan
core   +1 more source

Non-commutative functional calculus: Unbounded operators [PDF]

open access: yesJournal of Geometry and Physics, 2009
In a recent work, \cite{cgss}, we developed a functional calculus for bounded operators defined on quaternionic Banach spaces. In this paper we show how the results from \cite{cgss} can be extended to the unbounded case, and we highlight the crucial differences between the two cases.
Sabadini, Irene   +11 more
openaire   +8 more sources

Vector–valued functional calculus for a convolution algebra of distributions on cone [PDF]

open access: yesМатематичні Студії, 2011
For {the} Fourier image $widehat{D}'_Gamma$ of {the} algebra $D'_Gamma$ of the distributions with supports on {a}cone $Gamma$ the functional calculus for generators of$n$--parametric $(C_o)$--semigroups of operators is determined.
O. V. Lopushansky   +2 more
doaj  

Classical Solutions of Path-dependent PDEs and Functional Forward-Backward Stochastic Systems [PDF]

open access: yes, 2012
In this paper we study the relationship between functional forward-backward stochastic systems and path-dependent PDEs. In the framework of functional It\^o calculus, we introduce a path-dependent PDE and prove that its solution is uniquely determined by
Ji, Shaolin, Yang, Shuzhen
core   +2 more sources

Particular case of operator calculus for generalized functions with supports in cone

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2012
In this work the construction of functional calculus for strongly continuous semigroups of operators in Schwartz distribution algebra on some cone is generalized.
A. V. Solomko
doaj   +1 more source

The stack calculus [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2013
We introduce a functional calculus with simple syntax and operational semantics in which the calculi introduced so far in the Curry-Howard correspondence for Classical Logic can be faithfully encoded.
Alberto Carraro   +2 more
doaj   +1 more source

Functional Ito Calculus, Path-dependence and the Computation of Greeks

open access: yes, 2017
Dupire's functional It\^o calculus provides an alternative approach to the classical Malliavin calculus for the computation of sensitivities, also called Greeks, of path-dependent derivatives prices.
Jazaerli, Samy, Saporito, Yuri F.
core   +1 more source

A herbrandized functional interpretation of classical first-order logic [PDF]

open access: yes, 2017
We introduce a new typed combinatory calculus with a type constructor that, to each type σ, associates the star type σ^∗ of the nonempty finite subsets of elements of type σ.
Ferreira, Fernando, Ferreira, Gilda
core   +1 more source

Non-occurrence of the Lavrentiev phenomenon for a class of convex nonautonomous Lagrangians

open access: yesOpen Mathematics, 2020
We consider the classical functional of the Calculus of Variations of the ...
Mariconda Carlo, Treu Giulia
doaj   +1 more source

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