Martin Plešinger
Pondělí 18. března 2019, 14:20 hodin
Místnost G4-MAT, 4. patro budovy G, kampus Husova (Univerzitní nám. 1410/1)
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Anotace
In this seminar, we focus on Hermite orthogonal polynomials and in particular on Gram matrices of such polynomials in non-standard (shifted) inner products. The weight function of the non-standard inner product is obtained from the Gauss probability density function by its horizontal shift by a real parameter. We are interested in the spectral properties, in particular the extreme eigenvalues of these matrices and some of their modifications. We show how the eigenvalues depend on the parameter.