On the basis property of eigenelements of ordinary linear differential operators in a space of the type \(L_{p}\), \(p \geq 2\) (Q444006)
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scientific article; zbMATH DE number 6065277
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the basis property of eigenelements of ordinary linear differential operators in a space of the type \(L_{p}\), \(p \geq 2\) |
scientific article; zbMATH DE number 6065277 |
Statements
On the basis property of eigenelements of ordinary linear differential operators in a space of the type \(L_{p}\), \(p \geq 2\) (English)
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13 August 2012
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Consider regular linear differential operators with coefficients in the space \(L_{p}\) of vector functions on a finite interval. It is proved that the eigenfunctions in the same class for \(p\geq 2\) can be expanded in generalized Fourier series.
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matrix coefficients
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Fourier series
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basis property
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0.91620517
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0.8866074
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0.8842491
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0.8762327
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0.8742896
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0.8725028
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