Commuting family of block Jacobi matrices (Q678447)
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scientific article; zbMATH DE number 1001357
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commuting family of block Jacobi matrices |
scientific article; zbMATH DE number 1001357 |
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Commuting family of block Jacobi matrices (English)
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17 April 1997
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The well-known connection between orthogonal polynomials and Jacobi matrices is extended to orthogonal polynomials in several variables. This leads to block Jacobi matrices. A multidimensional analogue of the Stone theorem on self-adjoint operators with simple spectrum is obtained.
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commuting family
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orthogonal polynomials
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several variables
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block Jacobi matrices
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Stone theorem
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self-adjoint operators
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