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Non-abelian $p$-adic $L$-functions and Eisenstein series of unitary groups; the CM method
Eisenstein series unitary groups the CM method Number Theory
2011/8/26
Abstract: In this work we prove the so-called "torsion congruences" between abelian $p$-adic $L$-functions that are related to automorphic representations of definite unitary groups. These congruences...
Relative trace formulae toward Bessel and Fourier-Jacobi periods of unitary groups
Relative trace formulae Fourier-Jacobi periods of unitary groups
2011/2/24
We propose a relative trace formula approach and state the corresponding fundamental lemma
toward the global restriction problem involving Bessel or Fourier-Jacobi periods of unitary groups Un×Um, ex...
Wavelet filters and infinite-dimensional unitary groups
Wavelet filters infinite-dimensional unitary groups
2010/11/1
In this paper, we study wavelet filters and their dependence on two numbers, the scale N and the genus g. We show that the wavelet filters, in the quadrature mirror case, have a harmonic analysis whi...