218 research outputs found

    On an analogue of the Wiener Tauberian theorem for symmetric spaces of the noncompact type

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    Let X be a symmetric space and G the connected component of the group of isometries of X. If ƒ ∈ L1(X), we consider conditions under which Sp{gƒ:g ∈ G} is dense in L1(X) in terms of the "Fourier transform" of ƒ. This continues earlier work on this kind of problem by L. Ehrenpreis and F. I. Mautner, R. Krier and the author

    Toward a theory of nonlinear stochastic realization

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    Bibliography: leaves 14-15."October, 1981" "Feedback and Synthesis of Linear and Nonlinear Systems -Proceedings of the Workshop in Bielefeld, West-Germany, June 22-26, 1981, and Rome Italy, June 29-July 3, 1981.""National Science Foundation Grant ECS-7903731" "Air Force Office of Scientific Research grant AFOSR 78-3519"Anders Lindquist, Sanjoy Mitter, Giorgio Picci

    Ernst Schroeder and Zermelo’s Anticipation of Russell’s Paradox

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    Ernst Zermelo presented an argument showing that there is no set of all sets that are members of themselves in a letter to Edmund Husserl on April 16th of 1902, and so just barely anticipated the same contradiction in Betrand Russell’s letter to Frege from June 16th of that year. This paper traces the origins of Zermelo’s paradox in Husserl’s criticisms of a peculiar argument in Ernst Schroeder’s 1890 Algebra der Logik. Frege had also criticized that argument in his 1985 “A Critical Elucidation of Some Points in E. Schroeder Vorlesungen über die Algebra der Logik”, but did not see the paradox that Zermelo found. Alonzo Church, in “Schroeder’s Anticipation of the Simple Theory of Types” from 1939, cricized Frege’s treatment of Schroeder’s views, but did not identify the connection with Russell’s paradox

    Statistical Communication Theory

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    Contains research objectives and reports on six research projects

    Continuous measures on compact Lie groups

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    Theory of nonlinear transducers

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    "August 12, 1950."Bibliography: p. 47.Army Signal Corps Contract No. W36-039-sc-32037 Project No. 102B Dept. of the Army Project No. 3-99-10-022H.E. Singleton
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