Concept
Fonction analytique
Publications associées (106)
MATHICSE Technical Report : The index of singular zeros of harmonic mappings of anti-analytic degree one
We study harmonic mappings of the form f(z) = h(z) z, where h is an analytic function. In particular we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the critical set of f, where the Jacobian of f is non ...
MATHICSE2017Analytic twists of modular forms and applications
We are interested in the study of non-correlation of Fourier coefficients of Maass forms against a wide class of real analytic functions. In particular, the class of functions we are interested in should be thought of as some archimedean analogs of Frobeni ...
EPFL2017Unlocking efficiency and scalability of reversible logic synthesis using conventional logic synthesis
Mathias Soeken, Anupam Chattopadhyay
Latest quantum technologies promise realization of extremely large circuits, whereas, reversible logic synthesis, the key automation step for quantum computing suffers from scalability bottleneck. Sealability can be achieved with Decision Diagram (DD)-base ...
ACM/IEEE2016Unraveling the weak hydrogen bonds of ethynylpyridines and ethynylbenzene with trimethylphosphate - A combined FT-Raman spectroscopic and quantum-chemical study
The interplay of secondary hydrogen bonds of 2- and 3-ethynylpyridine or ethynylbenzene with trimethylphosphate in tetrachloroethene was elucidated using FT-Raman spectroscopy and MP2/6-311 + G(d,p) calculations. The direct participation of C C moiety in t ...
Elsevier Science Bv2016Eigenfunction expansions of ultradifferentiable functions and ultradistributions
In this paper we give a global characterisation of classes of ultradi_erentiable functions and corresponding ultradistributions on a compact manifold X. The characterisation is given in terms of the eigenfunction expansion of an elliptic operator on X. Thi ...
2016Radial expansion for spinning conformal blocks
This paper develops a method to compute any bosonic conformal block as a series expansion in the optimal radial coordinate introduced by Hogervorst and Rychkov. The method reduces to the known result when the external operators are all the same scalar oper ...
Springer2016Eigenfunction Expansions Of Ultradifferentiable Functions And Ultradistributions
In this paper we give a global characterisation of classes of ultradifferentiable functions and corresponding ultradistributions on a compact manifold X. The characterisation is given in terms of the eigenfunction expansion of an elliptic operator on X. Th ...
American Mathematical Society2016The Sommerfeld half-space problem revisited: from radio frequencies and Zenneck waves to visible light and Fano modes
Juan Ramon Mosig, Krzysztof Michalski
The classical Sommerfeld half-space problem is revisited, with generalizations to multilayer and plasmonic media and focus on the surface field computation. A new ab initio solution is presented for an arbitrarily oriented Hertzian dipole radiating in the ...
Taylor & Francis Ltd2016On a Lagrangian Formulation of the Incompressible Euler Equation
In this paper we show that the incompressible Euler equation on the Sobolev space H-s(R-n), s> n/2+1, can be expressed in Lagrangian coordinates as a geodesic equation on an infinite dimensional manifold. Moreover the Christoffel map describing the geodesi ...
Global Science Press2016Analytic regularity and collocation approximation for elliptic PDEs with Random domain deformations
In this work we consider the problem of approximating the statistics of a given Quantity of Interest (QoI) that depends on the solution of a linear elliptic PDE defined over a random domain parameterized by N random variables. The elliptic problem is remap ...
2016