Concept

Theta function

Related publications (136)

Extrapolation et synthèse

Let G a locally compact group, H a closed subgroup and 1 < p < ∞. It's well-known that the restriction of the functions from G to H is a surjective linear contraction from Ap(G) onto Ap(H). We prove, when H is amenable, that every element in Ap(H) with com ...

EPFL2007

Generalized Daubechies Wavelet Families

Michaël Unser, Thierry Blu, Cédric René Jean Vonesch

We present a generalization of the orthonormal Daubechies wavelets and of their related biorthogonal flavors (Cohen-Daubechies-Feauveau, 9⁄7). Our fundamental constraint is that the scaling functions should reproduce a predefined set of exponential polynom ...

IEEE2007

Gossiping in a Multi-Channel Radio Network (An Oblivious Approach to Coping With Malicious Interference)

Rachid Guerraoui, Seth Gilbert

We study oblivious deterministic gossip algorithms for multi-channel radio networks with a malicious adversary. In a multi-channel network, each of the n processes in the system must choose, in each round, one of the c channels of the system on which to pa ...

Springer2007

The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points. II

Philippe Michel

We prove a general subconvex bound in the level aspect for Rankin–Selberg L-functions associated with two primitive holomorphic or Maass cusp forms over Q. We use this bound to establish the equidistribution of incomplete Galois orbits of Heegner points on ...

2006

Exact Local Reconstruction Algorithms for Signals with Finite Rate of Innovation

Martin Vetterli, Thierry Blu, Pier Luigi Dragotti

Consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, piecewise polynomial or piecewise sinusoidal signals, and call the number of degrees of freedom ...

2006

On the exponential convergence of Matching Pursuits in quasi-incoherent dictionaries

Pierre Vandergheynst, Rémi Gribonval

The purpose of this paper is to extend results by Villemoes and Temlyakov about exponential convergence of Matching Pursuit with some structured dictionaries for ``simple'' functions in finite or infinite dimension. Our results are based on an extension of ...

2006

MAC layer functions for SLEF

Alaeddine El Fawal, Lorenzo Keller

We develop three functions around the MAC layer: (1) Pseudo broadcast is a technique used to improve throughput of broadcast transmissions in case of congested networks. The mechanism consists in sending a packet in unicast to a station using RTS/CTS. Othe ...

2006

A new method for the inversion of interferometry data using basis functions derived from singular value decomposition of local measurements in tokamak plasmas

Ivo Furno, Henri Weisen, Roland Behn, Emiliano Fable

A novel method for inverting time-resolved line-integrated interferometric plasma density measurements is described. The method uses singular value decomposition of local density profiles from Thomson scattering measurements obtained at low sampling rates ...

2005

Green-Ampt approximations

David Andrew Barry

The solution to the Green and Ampt infiltration equation is expressible in terms of the Lambert W-1 function. Approximations for Green and Ampt infiltration are thus derivable from approximations for the W-1 function and vice versa. An infinite family of a ...

2005

A Fast Recursive Implementation of Gabor Filters

Michael Ansorge

This paper presents two methods, based on the rational approximation of functions, for designing Gabor like IIR filters with reduced computational complexity. The performance of the designed filters is discussed and comparisons with other approaches are ma ...

2005

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