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The Refined Szeg÷ Limit Theorem
ABSTRACT HOMOGENEOUS CHAOS G Kallianpur
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apply argument assume assumptions Banach algebra bounded Brownian motion called carried choose circle closed compact complex computation condition consequence consider constant construction contains continuous converges Corollary corresponding define definition denote dimension direction distribution easy elements equal example exists fact finite fixed follows formula Fourier function given gives harmonic functions holds identity implies independent inequality integral interesting intervals invertible isomorphism later lattice Lebesgue Lemma limit linear Math matrices means measure method obtain operators p-harmonic particular point measure Poisson boundary polynomials positive possible probability problem proof properties Proposition prove question random variables random walk relation respect result satisfying sequence simple ſ║ space stationary subgroup subset Suppose Theorem theory tion Toeplitz values write zero