On Principal Parts-Extension for a Noether Operator A
The main purpose of this work is to realize and establish the extension of a noether operator A defined by a third kind singular integral equation. The extended operator of the initial operator A is noted  and acting from a new specific functional space constructed denoted Vm=C−11−11⊕∑k=1mαkF.p1xk...
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| Autor principal: | |
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| Formato: | Capítulo de libro |
| Lenguaje: | inglés |
| Publicado: |
IntechOpen
2022
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| Acceso en línea: | https://www.intechopen.com/chapters/84493 |
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| Sumario: | The main purpose of this work is to realize and establish the extension of a noether operator A defined by a third kind singular integral equation. The extended operator of the initial operator A is noted  and acting from a new specific functional space constructed denoted Vm=C−11−11⊕∑k=1mαkF.p1xk, into the same previous space C0P−11. We investigate the noetherity of the extended initial noether operator noted Â, when we realized the extension taking the unknown function φx from the spaceVm. The index of such noether operator χ is calculated and therefore, the conditions of the noetherity nature of the extended operator are established. |
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| ISBN: | 978-1-83880-992-8 |
| DOI: | 10.5772/intechopen.107925 |