Long range rotators
Messager, A.; Miracle-Sole, S.; Picco, P.; Ruiz, J. — 1984
Proceedings of the 11th Winter School on Abstract Analysis
Long range rotators
Calcul probabiliste du noyau de Poisson de la sphère
A note on a connection between the Poincaré-Arnold-Melnikov integral and the Picard-Vessiot theory
We obtain an algebraic interpretation by means of the Picard-Vessiot theory of a result by Ziglin about the self-intersection of complex separatrices of time-periodically perturbed one-degree of freedom complex analytical Hamiltonian systems.
Parabolic differential equations and vector-valued Fourier analysis
El producto integral de Riemann-Stieltjes y su aplicación a las funciones medias de las distribuciones truncadas.
Note on stability estimation in sequential hypothesis testing
We introduce a quantitative measure Δ of stability in optimal sequential testing of two simple hypotheses about a density of observations: f=f₀ versus f=f₁. The index Δ represents an additional cost paid when a stopping rule optimal for the pair (f₀,f₁) is applied to test the hypothesis f=f₀ versus a "perturbed alternative" f=f̃₁. An upper bound for Δ is established in terms of the total variation distance between f₁(X)/f₀(X) and f̃₁(X)/f₀(X) with X∼f₀.
On convergence of the empirical mean method for non-identically distributed random vectors
We consider the following version of the standard problem of empirical estimates in stochastic optimization. We assume that the underlying random vectors are independent and not necessarily identically distributed but that they satisfy a "slow variation" condition in the sense of the definition given in this paper. We show that these assumptions along with the usual restrictions (boundedness and equicontinuity) on a class of functions allow one to use the empirical mean method to obtain a consistent...
Upper bounds on the decay of correlations in -symmetric spin systems with long range interactions
Calderon weights and the real interpolation method.
We introduce a class of weights for a which a rich theory of real interpolation can be developed. In particular it led us to extend the commutator theorems associated to this method.
A Coifman-Rochberg type characterization of quasi-power weights.
Transformada de Fourier de funciones vectoriales.
Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
One can find in the mathematical literature many recent papers studying the generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials, defined by means of generating functions. In this article we clarify the range of parameters in which these definitions are valid and when they provide essentially different families of polynomials. In particular, we show that, up to multiplicative constants, it is enough to take as the “main family” those given by and as an “exceptional family”...
Weighted L boundedness of Fourier series with respect to generalized Jacobi weights.
Let w be a generalized Jacobi weight on the interval [-1,1] and, for each function f, let Sf denote the n-th partial sum of the Fourier series of f in the orthogonal polynomials associated to w. We prove a result about uniform boundedness of the operators S in some weighted L spaces. The study of the norms of the kernels K related to the operators S allows us to obtain a relation between the Fourier series with respect to different generalized Jacobi weights.
Generalized poly-Cauchy polynomials and their interpolating functions
We give a generalization of poly-Cauchy polynomials and investigate their arithmetical and combinatorial properties. We also study the zeta functions which interpolate the generalized poly-Cauchy polynomials.
Integrability of hamiltonian systems and differential Galois groups of higher variational equations
Juego de intersección de intervalos finitos.
Función de índices de concentración en las distribuciones truncadas por la derecha.
On a galoisian approach to the splitting of separatrices
Topologías fuertes en espacios linealmente topologizados de funciones continuas.
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