On Berberian's representation
N. Ivanovski (1975)
Matematički Vesnik
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N. Ivanovski (1975)
Matematički Vesnik
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Tomasz Łuczak, Tomasz Schoen (2008)
Acta Arithmetica
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Anne-Marie Aubert, Tomasz Przebinda (2014)
Open Mathematics
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We describe a new approach to the Weil representation attached to a symplectic group over a finite or a local field. We dissect the representation into small pieces, study how they work, and put them back together. This way, we obtain a reversed construction of that of T. Thomas, skipping most of the literature on which the latter is based.
Forslund, Robert R. (1995)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Yong-Gao Chen, Min Tang (2011)
Acta Arithmetica
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Asger Törnquist, William Weiss (2009)
Fundamenta Mathematicae
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We prove the following descriptive set-theoretic analogue of a theorem of R. O. Davies: Every Σ¹₂ function f:ℝ × ℝ → ℝ can be represented as a sum of rectangular Σ¹₂ functions if and only if all reals are constructible.
Janusz Kaja (1982)
Colloquium Mathematicae
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Nikanorova, M.Yu. (2005)
Journal of Mathematical Sciences (New York)
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Repka, Joe (1978)
International Journal of Mathematics and Mathematical Sciences
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David Cimasoni, Vladimir Turaev (2006)
Fundamenta Mathematicae
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The present paper is a continuation of our previous paper [Topology 44 (2005), 747-767], where we extended the Burau representation to oriented tangles. We now study further properties of this construction.
Abdulrahim, Mohammad N., Al-Tahan, Madline (2010)
International Journal of Mathematics and Mathematical Sciences
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Jiří Novák (1981)
Časopis pro pěstování matematiky
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Włodzimierz Fechner, Justyna Sikorska (2010)
Bulletin of the Polish Academy of Sciences. Mathematics
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We deal with the stability of the orthogonal additivity equation, presenting a new approach to the proof of a 1995 result of R, Ger and the second author. We sharpen the estimate obtained there. Moreover, we work in more general settings, providing an axiomatic framework which covers much more cases than considered before by other authors.