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Higher Laplace–Beltrami operators on bounded symmetric domains
It was conjectured by the first author and Peetre that the higher Laplace–Beltrami operators generate the whole ring of invariant operators on bounded symmetric domains. We give a proof of the conjecture f...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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PT-Symmetric Laplace-Beltrami Operator in the Strip on a Sphere
Numerical analysis indicates that all eigenvalues of a PT-symmetric Laplace-Beltrami operator in the strip on a sphere are real. However, a complete proof is not known....
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Green functions for powers of the Laplace-Beltrami operator.
It is shown that, in contrast to the usual biharmonic Green function, the Green function for the biharmonic Laplace-Beltrami operator on any complete Riemannian manifold is of constant sign. Some further details are given f...
BA - Obecná matematika
- 2002 •
- D
Rok uplatnění
D - Stať ve sborníku
Fundamental improvements of the piecewise semi-smooth Laplace-Beltrami operator numerical stability
The Laplace-Beltrami operator plays an important role as C2 function smoother-trivial cases, e.g. computations on non-uniform meshes, the discrete Laplace operator, in this paper, we reformulate the image ...
Pure mathematics
- 2017 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
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Green functions and eigenfunction expansions for the square of the Laplace-Beltrami operator on plane domains.
For a class of plane domains with smooth boundary, we 1) show that the Green function for the square of the Laplace-Beltrami operator with respect to the Poincare metric is always positive; nad 2) obtain an eigenfunction ex...
BA - Obecná matematika
- 2002 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Berezin Transform and the Laplace-Beltrami operator.
Annotation not available...
BA - Obecná matematika
- 1995 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Effective quantum dynamics on the Möbius strip
The Laplace-Beltrami operator in the curved Möbius strip is investigated in the limit when the width of the strip tends to zero. By establishing a norm-resolvent convergence, it is shown that spectral properties of the ...
Mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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THE SPECTRA OF THE SPHERICAL AND EUCLIDEAN TRIANGLE GROUPS
We derive the spectrum of the Laplace-Beltrami operator on the quotient orbifold of the nonhyperbolic triangle groups.
BG - Jaderná, atomová a molekulová fyzika, urychlovače
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A characterization of symmetric domains
We prove that the Laplace-Beltrami operator commutes with the Berezin transform on a Kaehler manifold if and only if it is a Hermitian symmetric space....
BA - Obecná matematika
- 2006 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Convergence of spectra of graph-like thin manifolds
We consider a family of compact manifolds which shrinks with respect to an appropriate parameter to a graph. The main result is that the spectrum of the Laplace-Beltrami operator converges to the spectrum of the (differenti...
BE - Teoretická fyzika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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