Titlebook: European Congress of Mathematics; Barcelona, July 10–1 Carles Casacuberta,Rosa Maria Miró-Roig,Sebastià X Conference proceedings 2001 Sprin

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sterilization

The Role of Oscillations in Some Nonlinear Problemse advances in pure mathematics. This interaction between image processing and functional analysis also benefits partial differential equations..Indeed new estimates on wavelet coefficients of functions with bounded variation (Theorems 6.6 and 7.5) imply new Gagliardo-Nirenberg inequalities (Section

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New Families of Solutions in ,-Body Problems-body problem and they are very rare for more than three bodies. Simple solutions, such as the so-called ., in which all the bodies rotate around the center of mass keeping the mutual distances constant, are in themselves a major problem. Recently, the first example of a new class of solutions has b

分離

Irreducible Modular Representations of a Reductive ,-Adic Group and Simple Modules for Hecke Algebraover .. The two main points in the search for a classification of the irreducible complex representations of . is to try to prove that any irreducible cuspidal representation is induced from an open compact subgroup and that the irreducible representations with a given inertial cuspidal support are

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Spectrum and Statistical Properties of Chaotic Dynamicsnvariant measure and its mixing properties, in particular decay of its correlation functions for smooth observables. In many cases, there is a connection (via the spectrum of a Ruelle-Perron-Frobenius transfer operator) with the analytic properties of a weighted dynamical zeta function, weighted dyn

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Sampling in Complex and Harmonic Analysisof great practical importance in signal analysis and data transmission, but they also admit other mathematical formulations relating them to fundamental questions about existence of good bases in function spaces. This circle of ideas in complex analysis has experienced in recent years a notorious re

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羊齒

A Conjecture of De Giorgi on Symmetry for Elliptic Equations in ?nvariable? When . = 2, this conjecture was proved in 1997 by N. Ghoussoub and C. Gui. More recently, L. Ambrosio and the author have proved it for . = 3. The question, however, remains open for . ≥ 4. A connection with the Bernstein problem for minimal hypersurfaces suggests that the conjecture may b