Displaying similar documents to “A unified approach to compact symmetric spaces of rank one”

Enclosing solutions of second order equations

Gerd Herzog, Roland Lemmert (2005)

Annales Polonici Mathematici

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We apply Max Müller's Theorem to second order equations u'' = f(t,u,u') to obtain solutions between given functions v,w.

E-symmetric numbers

Gang Yu (2005)

Colloquium Mathematicae

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A positive integer n is called E-symmetric if there exists a positive integer m such that |m-n| = (ϕ(m),ϕ(n)), and n is called E-asymmetric if it is not E-symmetric. We show that there are infinitely many E-symmetric and E-asymmetric primes.

On the symmetric continuity

Jaskuła, Janusz, Szkopińska, Bożena (2015-12-15T14:49:03Z)

Acta Universitatis Lodziensis. Folia Mathematica

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The Lukacs-Olkin-Rubin theorem on symmetric cones through Gleason's theorem

Bartosz Kołodziejek (2013)

Studia Mathematica

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We prove the Lukacs characterization of the Wishart distribution on non-octonion symmetric cones of rank greater than 2. We weaken the smoothness assumptions in the version of the Lukacs theorem of [Bobecka-Wesołowski, Studia Math. 152 (2002), 147-160]. The main tool is a new solution of the Olkin-Baker functional equation on symmetric cones, under the assumption of continuity of respective functions. It was possible thanks to the use of Gleason's theorem.

Symmetric sign patterns with maximal inertias

In-Jae Kim, Charles Waters (2010)

Czechoslovak Mathematical Journal

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The inertia of an n by n symmetric sign pattern is called maximal when it is not a proper subset of the inertia of another symmetric sign pattern of order n . In this note we classify all the maximal inertias for symmetric sign patterns of order n , and identify symmetric sign patterns with maximal inertias by using a rank-one perturbation.

Decomposing a 4th order linear differential equation as a symmetric product

Mark van Hoeij (2002)

Banach Center Publications

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Let L(y) = 0 be a linear differential equation with rational functions as coefficients. To solve L(y) = 0 it is very helpful if the problem could be reduced to solving linear differential equations of lower order. One way is to compute a factorization of L, if L is reducible. Another way is to see if an operator L of order greater than 2 is a symmetric power of a second order operator. Maple contains implementations for both of these. The next step would be to see if L is a symmetric...