Free operators with operator coefficients
Franz Lehner (1998)
Colloquium Mathematicae
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Franz Lehner (1998)
Colloquium Mathematicae
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Imre Z. Ruzsa, Andrzej Schinzel (1995)
Compositio Mathematica
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M. Gurdek, L. Rempulska, M. Skorupka (1999)
Collectanea Mathematica
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P. Wojtaszczyk (2000)
Studia Mathematica
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We show that in for p ≠ 2 the constants of equivalence between finite initial segments of the Walsh and trigonometric systems have power type growth. We also show that the Riemann ideal norms connected with those systems have power type growth.
O. Fomenko (1961)
Acta Arithmetica
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C. G. G. Van Herk (1951)
Compositio Mathematica
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J. Meder (1958)
Annales Polonici Mathematici
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Luigi Accardi, Yukihiro Hashimoto, Nobuaki Obata (1998)
Banach Center Publications
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Motivated by the central limit problem for algebraic probability spaces arising from the Haagerup states on the free group with countably infinite generators, we introduce a new notion of statistical independence in terms of inequalities rather than of usual algebraic identities. In the case of the Haagerup states the role of the Gaussian law is played by the Ullman distribution. The limit process is realized explicitly on the finite temperature Boltzmannian Fock space. Furthermore,...