We deal with a perturbation of a hyperbolic integrable Hamiltonian system with n degrees of freedom The integrable system is assumed to have n dimensional hyperbolic invariant tori with coincident whiskers separatrices Following Eliasson we use a geometric approach closely related to the Lagrangian properties of the whiskers to show that the splitting distance between the perturbed stable and u...

In this paper, the authors provide several sharp upper and lower bounds for Neuman–Sándor mean in terms of arithmetic contra-harmonic means, present some new inequalities involving hyperbolic sine function cosine function.

We obtain new characterizations for Bergman spaces with standard weights in terms of Lipschitz type conditions in the Euclidean, hyperbolic, and pseudo-hyperbolic metrics. As a consequence, we prove optimal embedding theorems when an analytic function on the unit disk is symmetrically lifted to the bidisk.

Global and local regularities of functions are analyzed in anisotropic function spaces, under the common framework supplied by hyperbolic wavelet bases. Local and directional regularity features are characterized by means of global quantities derived from the coefficients of hyperbolic wavelet decompositions. A multifractal analysis is introduced, that jointly accounts for scale invariance and ...

Linear superposition principles of hyperbolic and trigonometric function solutions are analyzed for Hirota bilinear equations, with an aim to construct a specific sub-class of N-soliton solutions formulated by linear combinations of hyperbolic and trigonometric functions. An algorithm using weights is discussed and a few illustrative application examples are presented. 2013 Elsevier Inc. All ri...

We prove a version of Shimizu’s lemma for quaternionic hyperbolic space. Namely, consider groups of quaternionic hyperbolic isometries containing a parabolic map fixing infinity. We show that any element of such a group not fixing infinity has an isometric sphere whose radius is bounded by a function of the parabolic translation length at its centre. Mathematics Subject Classifications (2000): ...

In [1] a hyperbolic analogue of pseudoanalytic function theory was developed. In the present contribution we show that one of the central objects of the inverse problem method the Zakharov-Shabat system is closely related to a hyperbolic Vekua equation for which among other results a generating sequence and hence a complete system of formal powers can be constructed explicitly.

We compute the leading asymptotics of the counting function for closed geodesics on a convex co-compact hyperbolic manifold in terms of spectral data and scattering resonances for the Laplacian. Our result extends classical results of Selberg for compact and nite-volume surfaces to this class of in nite-volume hyperbolic manifolds.

Time discounting is the phenomenon that a desired result in the future is perceived as less valuable than the same result now. Economic theories can take this psychological fact into account in several ways. In the economic literature the most widely used type of additive time discounting is exponential discounting. In exponential discounting, the fall of valuation depends by a constant factor ...