Harmonic analysis on free groups
نویسندگان
چکیده
منابع مشابه
2. Harmonic Analysis on Compact Groups
These notes recall some general facts about Fourier analysis on a compact group K. They will be applied eventually to compact Lie groups, particularly to the maximal compact subgroups of real reductive Lie groups. But much of the early material makes no use of the Lie group structure, so I’ll work without it for as long as possible. Thanks to Ben Harris (2007) for correcting a number of slips o...
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Paul Garrett [email protected] http://www.math.umn.edu/ g̃arrett/ [This document is http://www.math.umn.edu/ ̃garrett/m/fun/notes 2012-13/06c cpt ab gps.pdf] 1. Approximate identities on topological groups 2. Uniqueness of invariant measure 3. Simultaneous eigenfunctions for integral operators 4. Simultaneous eigenfunctions are characters The spectral theory for normal compact operators on Hil...
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The rotations are the symmetries preserving the (cyclic) ordering of vertices. Thus, a rotation g is determined by the image gv, so the subgroup N of rotations has n elements. A reflection is an order-2 symmetry reversing the ordering of vertices. Imbedding the n-gon in R, there are n axes through which the n-gon can be reflected, so there are n reflections. Since |G| = 2n, every symmetry is ei...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1986
ISSN: 0001-8708
DOI: 10.1016/0001-8708(86)90057-5