๐”– Bobbio Scriptorium
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Quantum systems related to root systems, and radial parts of Laplace operators

โœ Scribed by M. A. Ol'shanetskii; A. M. Perelomov

Book ID
105060682
Publisher
Springer US
Year
1978
Tongue
English
Weight
514 KB
Volume
12
Category
Article
ISSN
0016-2663

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๐Ÿ“œ SIMILAR VOLUMES

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A system of functions 0-normalized with respect to the operator โˆ† in some domain โ„ฆ โŠ‚ R n is constructed. Application of this system to boundary value problems for the polyharmonic equation is considered. Connection between harmonic functions and solutions of the Helmholtz equation is investigated.

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A simple metric property satisfied by bases of (finite, not necessarily reduced) root systems is used to define sets in Euclidean space that provide models for Dynkin diagrams and their positive semideflnite one-vertex extensions. The theory of root systems can be founded on the study of these 'Dynk