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MODULAR CURVES AND RIGID-ANALYTIC SPACES
MODULAR CURVES RIGID-ANALYTIC SPACES
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2015/7/6
The aim of this paper is to give a purely rigid-analytic development of the theory of canonical subgroups
with arbitrary torsion-level in generalized elliptic curves over rigid spaces over k (using L...
Normal Form for the Schrödinger equation with analytic non--linearities
Normal Form Schrö dinger equation analytic non--linearities
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2011/1/17
We discuss a class of normal forms of the completely resonant non–linear Schr¨odinger equation on a torus. We stress the geometric and combinatorial constructions arising from this study. Further anal...
A Fourier analytic approach to the problem of mutually unbiased bases
Mutually unbiased bases complex Hadamard matrices difference sets Delsarte’s method
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2010/12/15
We give an entirely new approach to the problem of mutually unbiased bases (MUBs), based on a Fourier analytic technique in additive combinatorics. The method provides a short and
elegant generalizat...
Analytic continuations of Fourier and Stieltjes transforms and generalized moments of probability measures
Fourier transform Stieltjes transform Cauchy distribution non-commutative probability theory
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2010/12/1
We consider analytic continuations of Fourier transforms and Stieltjes transforms. This nables us to gen-eralize moments for some class of probability measures which do not have moments in the usual ...