Concept

Analytic function

Related publications (106)

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Analytic Sensing: Noniterative Retrieval Of Point Sources From Boundary Measurements

Dimitri Nestor Alice Van De Ville, Thierry Blu, Djano Kandaswamy

We consider the problem of locating point sources in the planar domain from overdetermined boundary measurements of solutions of Poisson's equation. In this paper, we propose a novel technique, termed "analytic sensing," which combines the application of G ...

SIAM2009

Endogenous Completeness of Diffusion Driven Equilibrium Markets

Semyon Malamud, Julien Hugonnier

We study the existence of equilibria with endogenously complete mar- kets in a continuous-time, heterogenous agents economy driven by a multi- dimensional diﬀusion process. Our main results show that if prices are real analytic as functions of time and the ...

2009

Grazing function g and collimation angular acceptance

Valentina Previtali

The grazing function g is introduced—a synchrobetatron optical quantity that is analogous (and closely connected) to the Twiss and dispersion functions β, α, η, and η′. It parametrizes the rate of change of total angle with respect to synchrotron amplitude ...

American Physical Society2009

Fractional Laplacian Pyramids

Michaël Unser, Ricard Delgado Gonzalo, Pouya Dehghani Tafti

We provide an extension of the L-2-spline pyramid (Unser et al., 1993) using polyharmonic splines. We analytically prove that the corresponding error pyramid behaves exactly as a multi-scale Laplace operator. We use the multiresolution properties of polyha ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Analysis of the Second Moment of the LT Decoder

Mohammad Amin Shokrollahi, Ghid Maatouk

We analyze the second moment of the ripple size during the LT decoding process and prove that the standard deviation of the ripple size for an LT-code with length k is of the order of root k. Together with a result by Karp et. al (2004) stating that the ex ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2009

Numerical analysis of fringe patterns recorded in holographic interferometry using high-order ambiguity function

Pramod Rastogi, Sai Siva Gorthi

This letter introduces a new approach for the demodulation of fringe patterns recorded in holographic interferometry using high-order ambiguity function (HAF). The proposed approach is capable of retrieving the phase from a single fringe pattern. The main ...

Taylor & Francis2009

Global sensitivity analysis of computer models with functional inputs

Global sensitivity analysis is used to quantify the influence of uncertain model inputs on the response variability of a numerical model. The common quantitative methods are appropriate with computer codes having scalar model inputs. This paper aims at ill ...

2009

On the classification of the coadjoint orbits of the Sobolev Bott-Virasoro group

François Gay-Balmaz

The purpose of this paper is to give the classification of the Bott-Virasoro coadjoint orbits, with nonzero central charge, in the functional analytic setting of smooth Hilbert manifolds. The central object of the paper is thus the completion of the Bott-V ...

2009

Artificial tongues and leaves

Natalie Renuka Banerji, Stefan Matile, Eric Vauthey, Alexandre Fürstenberg

The objective with synthetic multifunctional nanoarchitecture is to create large suprastructures with interesting functions. For this purpose, lipid bilayer membranes or conducting surfaces have been used as platforms and rigid-rod molecules as shape-persi ...

2008

The Marr Wavelet Pyramid

Michaël Unser, Dimitri Nestor Alice Van De Ville

We introduce a new semi-orthogonal complex wavelet basis of L-2(R-2). The basis functions are associated to the complex gradient-Laplace operator, which plays a central role in image processing. We define analytically a single-generator wavelet that is shi ...

Ieee Service Center, 445 Hoes Lane, Po Box 1331, Piscataway, Nj 08855-1331 Usa2008