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The theory of compressed sensing studies the problem of recovering a high dimensional sparse vector from its projections onto lower dimensional subspaces. The recently introduced framework of infinite-dimensional compressed sensing [1], to some extent gene ...
We use a Leibniz-rule-type inequality for fractional derivatives to prove conditions under which a solution u(x, t) of the k-generalized KdV equation is in the space L-2(vertical bar x vertical bar(2s) dx) for s is an element of R+. ...
We prove a fixed point theorem for a family of Banach spaces, notably for L^1. Applications include the optimal answer to the "derivation problem" for group algebras which originated in the 1960s. ...
Afin de déterminer l’orbite qu’un satellite d’observation d’exoplanètes devait adopter, il a été nécessaire de considérer les points de Lagrange et plus particulièrement le deuxième de ces points. Dans les pages suivantes, nous localisons les trois premier ...
A new method for H-infinity gain-scheduled controller design by convex optimization is proposed that uses only frequency-domain data. The method is based on loop shaping in the Nyquist diagram with constraints on the weighted infinity-norm of closed-loop t ...
Recent advances in vector-field imaging have brought to the forefront the need for efficient denoising and reconstruction algorithms that take the physical properties of vector fields into account and can be applied to large volumes of data. With these req ...
In a dramatic crisis context, Lisbon reveals itself as an attractive and dynamic city of alternative bustling creativity. Trying to understand this paradox, I analyse two successful “alternative cultural spaces”: Lx Factory and Pensão Amor. Urban strategie ...
We present and compare two different approaches to conditional risk measures. One approach draws from convex analysis in vector spaces and presents risk measures as functions on Lp spaces, while the other approach utilizes module-based convex analysis wher ...
Electric field distributions within lightning protection volume of a single lightning rod are studied for the case of a vertical downward leader. The boundaries of volumes with the electrical strength exceeding its critical value for ionization in air are ...
This paper deals with the nite horizon stochastic optimal control problem with the expectation of the p-norm as the objective function and jointly Gaussian, although not necessarily independent, additive disturbance process. We develop an approximation str ...
