Concept
David Hilbert
Publications associées (26)
ECMA-407: New Approaches to 3D Audio Content Data Rate Reduction with RVC-CAL
Marco Mattavelli, Claudio Paolo Alberti, Junaid Jameel Ahmad
Inverse problems have only been known in spatial audio for a very short time; their only solution, called "inverse coding" in literature, is essentially based on time-level modeling. Inverse problems, however, unlike parametric coding, require only an init ...
Audio Engineering Society (AES)2014On the Dihedral Main Conjectures of Iwasawa Theory for Hilbert Modular Eigenforms
We construct a bipartite Euler system in the sense of Howard for Hilbert modular eigenforms of parallel weight two over totally real fields, generalizing works of Bertolini-Darmon, Longo, Nekovar, Pollack-Weston, and others. The construction has direct app ...
Canadian Mathematical Soc2013On Generalized Weighted Hilbert Matrices
We study spectral properties of generalized weighted Hilbert matrices. In particular, we establish results on the spectral norm, the determinant, and various relations between the eigenvalues and eigenvectors of such matrices. We also study the asymptotic ...
Pacific Journal Mathematics2013New Results in the Theory of Linear and Integer Programming
The polynomial Hirsch conjecture states that the vertex-edge diameter of a d-dimensional polyhedron with n facets is bounded by a polynomial in d and n. For the special case where the polyhedron is defined as the set of points satisfying a system Ax ≤ b of ...
EPFL2012Exact Complex-Wave Reconstruction in Digital Holography
Michaël Unser, Christian Depeursinge, Nicolas Pavillon, Chandra Sekhar Seelamantula
We address the problem of exact complex-wave reconstruction in digital holography. We show that, by confining the object-wave modulation to one quadrant of the frequency domain, and by maintaining a reference-wave intensity higher than that of the object, ...
OSA2011Universal Bounds And Semiclassical Estimates For Eigenvalues Of Abstract Schrodinger Operators
We prove trace inequalities for a self-adjoint operator on an abstract Hilbert space, which extend those known previously for Laplacians and Schrodinger operators, freeing them from restrictive assumptions on the nature of the spectrum and allowing operato ...
2010Jump-diffusions in Hilbert spaces: existence, stability and numerics
By means of an original approach, called 'method of the moving frame', we establish existence, uniqueness and stability results for mild and weak solutions of stochastic partial differential equations (SPDEs) with path-dependent coefficients driven by an i ...
2010Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry
David Hilbert discovered in 1895 an important metric that is canonically associated to any convex domain in the Euclidean (or projective) space. This metric is known to be Finslerian, and the usual proof assumes a certain degree of smoothness of t ...
2009Finitary Winning in omega-Regular Games
Games on graphs with omega-regular objectives provide a model for the control and synthesis of reactive systems. Every omega-regular objective can be decomposed into a safety part and a liveness part. The liveness part ensures that something good happens " ...
2009Weak metrics on Euclidean domains
A weak metric on a set is a function that satisfies the axioms of a metric except the symmetry and the separation axioms. The aim of this paper is to present some interesting weak metrics and to study some of their properties. In particular, we introduce a ...
2007