A spectral radius formula for the Fourier transform on compact groups and applications to random walks |
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| Authors: | M. Anoussis |
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| Affiliation: | a Department of Mathematics, University of the Aegean, 832 00 Karlovasi - Samos, Greece
b Laboratory of Mathematics and Statistics, Agricultural University of Athens, Iera Odos 75, 118 55 Athens, Greece |
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| Abstract: | Let G be a compact group, not necessarily abelian, let ? be its unitary dual, and for f∈L1(G), let fn?f∗?∗f denote n-fold convolution of f with itself and f? the Fourier transform of f. In this paper, we derive the following spectral radius formula |
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| Keywords: | Primary 43A77 Secondary 43A10, 43A20, 60B10, 60F15 |
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