Luong, Bao, Fourier Analysis on Finite Abelian Groups, Applied and Numerical Harmonic Analysis, Birkha¨user, Boston, MA, 2009.B. Luong. Fourier Analysis on Finite Abelian Groups . Birkhäuser, 2009. MATHBao Luong. Fourier Analysis on Finite Abelian Groups: Applied and Numerical Harmonic ...
dual group/ A0220 Group theory A0230 Function theory, analysisGeneralising known results [2] for vector groups, it is shown that, for an arbitrary multiplier ω for an arbitrary locally compact Abelian group G, there is a faithful normal semifinite trace on the von Neuman algebra generated by...
06 国际基础科学大会-Linear stability of Ricci solitons-Huai-Dong Cao 1:06:54 国际基础科学大会-On mass-capacity inequalities and their implications-Pengzi Miao 1:05:13 国际基础科学大会-Recent progress on minimal and constant mean curvature surfaces 1:04:39 国际基础科学大会-Entropy Analysis and ...
DRDNWS Maslen - 《Journal of Fourier Analysis & Applications》 被引量: 0发表: 2018年 General protocols for the efficient distillation of indistinguishable photons Our protocols are based on Fourier transforms on finite abelian groups, special cases of which include the discrete Fourier transform and ...
The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous ...
The Fourier transform on compact groups is a major tool in representation theory (Knapp 2001) and non-commutative harmonic analysis. Let G be a compact Hausdorff topological group. Let Σ denote the collection of all isomorphism classes of finite-dimensional irreducible unitary representations, along ...
On the Bogolyubov-Ruzsa lemma Fourier analysissumsetsgeneralised arithmetic progressionscoset progressionssmall doublingOur main result is that if A is a finite subset of an abelian group ... Sanders,Tom - 《Analysis & Pde》 被引量: 156发表: 2010年 A Probabilistic Technique for Finding Almost-...
Lecture of Monday, 21 February 2011 (two hours) Review of Fourier series as an example of Fourier transform, with emphasis on the algebraic aspects: the two groups involved (the circle group T = U (1), and the integers), the formal symmetry between transform and anti-transform, etc. A ...
In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this ...
A. POLISHCHUK, Abelian varieties, theta functions and the Fourier transform. Cambridge University Press, Cambridge, 2003.Polishchuk, A., Abelian varieties, ... A Polishchuk 被引量: 55发表: 2003年 Transform analysis of the high-resolution Shane-Wirtanen catalog: The power spectrum and the bispectru...