Matrix entries of real representations of the groups  and .

Gordienko, V.M.

Displaying similar documents to “Matrix entries of real representations of the groups $O (3)$ and $S O (3)$ .”

First-order systems of linear partial differential equations: normal forms, canonical systems, transform methods

Heinz Toparkus (2014)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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In this paper we consider first-order systems with constant coefficients for two real-valued functions of two real variables. This is both a problem in itself, as well as an alternative view of the classical linear partial differential equations of second order with constant coefficients. The classification of the systems is done using elementary methods of linear algebra. Each type presents its special canonical form in the associated characteristic coordinate system. Then you can formulate...

Singularly perturbed semilinear Neumann problem with non-normally hyperbolic critical manifold.

Vrábel, Róbert (2010)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Spectral properties of a solution to the Gellerstedt problem for mixed-type equations and their applications.

Sabitov, K.B., Kuchkarova, A.N. (2001)

Sibirskij Matematicheskij Zhurnal

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Large energy simple modes for a class of Kirchhoff equations.

Ghisi, Marina (2003)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Positivity of Lyapunov exponents for Anderson-type models on two coupled strings.

Boumaza, Hakim, Stolz, Günter (2007)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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The Leray measure of nodal sets for random eigenfunctions on the torus

Ferenc Oravecz, Zeév Rudnick, Igor Wigman (2008)

Annales de l’institut Fourier

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We study nodal sets for typical eigenfunctions of the Laplacian on the standard torus in $d \geq 2$ dimensions. Making use of the multiplicities in the spectrum of the Laplacian, we put a Gaussian measure on the eigenspaces and use it to average over the eigenspace. We consider a sequence of eigenvalues with growing multiplicity $𝒩 \to \infty$ . The quantity that we study is the Leray, or microcanonical, measure of the nodal set. We show that the expected value of the Leray measure of an eigenfunction...