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On approximation of functions satisfying defective renewal equations
defective renewal equation Laplace transform
2011/2/22
Functions satisfying a defective renewal equation arise commonly in applied probability models. Usually these functions don’t admit a explicit expression. In this work we consider to approximate them ...
Wach modules and critical slope p-adic L-functions
p-adic L-function Wach module ordinary modular form.
2011/1/17
We study Kato and Perrin-Riou's critical slope p-adic L-function attached to an ordinary modular form using the methods of [LLZ10a]. We show that it may be decomposed as a sum of two bounded measures ...
On the convergence of Chebyshev--Padé approximations to real-valued algebraic functions
Chebyshev--Padé approximations real-valued algebraic functions
2010/12/13
В работе анонсируются новые результаты о сходимости аппроксимаций Чебышёва–
Паде для вещественных алгебраических функций, заданных на отрезке [−1, 1]. Скорость
сходимости аппроксимаций на отре...
Subgradients of Minimal Time Functions Under Minimal Requirements
Variational analysis and optimization minimal time functions Minkowski gauges
2010/12/1
This paper concerns the study of a broad class of minimal time functions corresponding to control problems with constant convex dynamics and closed target sets in arbitrary Banach spaces. In contrast ...
Strong Semiclassical Approximation of Wigner Functions for the Hartree Dynamics
Strong Semiclassical Approximation Wigner Functions Hartree Dynamics
2010/11/29
We consider the Wigner equation corresponding to a nonlinear Schr¨odinger evolution of the Hartree type in the semiclassical limit ~ → 0.
Asymptotic Approximationof Jacobi Functions and Their Zeros with Error Bounds
Asymptotic approximation Jacobi function Zero Error bounds
2007/12/12
The study of zeros of orthogonal functions is an important topic. In this paper, by improving the middle variable $x(t)$, we've got a new form of asymptotic approximation, completed with error bounds,...