ЛЕММА 2.4. Если оператор интегрирования, определенный формулой (2.4), то имеет место формула
![](data:image/png;base64,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) (2.6)
где - инволюция, определенный формулой (2.1).
ДОКАЗАТЕЛЬСТВО. ![](data:image/png;base64,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)
ЛЕММА 2.5. Если вольтерровый оператор, - унитарный оператор и имеют место равенства
![](data:image/png;base64,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) ![](data:image/png;base64,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) ![](data:image/png;base64,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) (2.7)
то операторное уравнение
![](data:image/png;base64,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) (2.8)
имеет в пространстве единственное решение вида
![](data:image/png;base64,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) (2.9)
где ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAANCAYAAABlyXS1AAAACXBIWXMAAA7cAAAPKQGQvGl7AAAA2ElEQVR4nGP5///ffwYcgAVE3Dm6hmHKuhMMkXn1DObyvKiSIhr2DCGuDAxv33xiYECXFBAWZXhy5wYDn6glprEvzi5hmP3wI8M0Vy5Uyc/3DzJMXfuSocDJluHF1w8M4m//MNy9eIrh6eu/DCwr121g8E6vYxB5spdh7pKdDIpVYQyHVx5h2LzqNwNLSnE/xAz5EIZ2awaGfz8+MnwyVmZ4rmIOsRMZ/Pj2hkGaUZChOFQPVfLbu7sMsydMYjBJ6GAwVGBAleQSUmbIb5oI5f3HNBbDn7gAAC4OR+QnzxYcAAAAAElFTkSuQmCC) - собственное значение оператора ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAALCAYAAACtWacbAAAACXBIWXMAAA4CAAAORgFbLwl7AAAA9UlEQVR4nGP5DwQMBAALiHh98zDDyt0XGRgkNRhygl0gMj9fM+w5fJ+BXdMMqOj3M4a6ydsZqiuyGI5fugjXffbQMobpq18yCPpqQUz6/eI1w5N3/xlCvbzBCv6+v8Xw+K8lg578MoYTr94AFbFKMXT05jDUZ1cwiKxeyqDCycCwYdEShh+q9gxnn35mOP7jGQPLq1dPGcTk9RnsNVkYnr8DOuv/cYaHzCoMemz/GVh+cTF8vP6AgWVGUw7Dd14NBlZ+TwZv6fcMk2NaGUQzZzI4an1lmDDxAYP6p7cMLHVT1qN4t2LJFjh7y+bNiCAgKpyooggABTVWelDG2ugAAAAASUVORK5CYII=) , а ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAANCAYAAACUwi84AAAACXBIWXMAAA+MAAAPKQE6RWo4AAAA40lEQVR4nGP5DwQMeAALPkm4gh+fPjAwcHIwvHjwmIFbXJZBlI8DWcE7hsXdsxjUddgZdlz/yPDjryJDX3M8QsG5JU0MnIENDOuWNjM09NYyzGyZgGrFiZMsDBaerxgeseoz3N2wiIFJJxAsceHAFoZHL/8ysITl+TC0pOQznP3Iz/CVx5uholIfrODY2gMMa5f8Z2ARUXVgSI3ZxuCg3cwQoMEON/qrnhLD8yobiC+eXuZjkHNmR7L5HYPQTz6G4lA9iAK3hhokyW8Ms+rKGNRjJzEYyWINKC6GtKY5JIYkPgAA+VBEOCy9wRQAAAAASUVORK5CYII=) - собственные векторы этого оператора.
ДОКАЗАТЕЛЬСТВО. По условию леммы оператор компактный, а в силу условий ![](data:image/png;base64,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) ![](data:image/png;base64,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) оператор ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAkAAAALCAYAAACtWacbAAAACXBIWXMAAA4CAAAORgFbLwl7AAAA9UlEQVR4nGP5DwQMBAALiHh98zDDyt0XGRgkNRhygl0gMj9fM+w5fJ+BXdMMqOj3M4a6ydsZqiuyGI5fugjXffbQMobpq18yCPpqQUz6/eI1w5N3/xlCvbzBCv6+v8Xw+K8lg578MoYTr94AFbFKMXT05jDUZ1cwiKxeyqDCycCwYdEShh+q9gxnn35mOP7jGQPLq1dPGcTk9RnsNVkYnr8DOuv/cYaHzCoMemz/GVh+cTF8vP6AgWVGUw7Dd14NBlZ+TwZv6fcMk2NaGUQzZzI4an1lmDDxAYP6p7cMLHVT1qN4t2LJFjh7y+bNiCAgKpyooggABTVWelDG2ugAAAAASUVORK5CYII=) - самосопряженный и компактный. По теореме Гильберта-Шмидта для любого вектора пространства имеет место разложение
![](data:image/png;base64,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)
где ![](data:image/png;base64,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) . В нашем случае ![](data:image/png;base64,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) , поэтому
Если ![](data:image/png;base64,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) то ![](data:image/png;base64,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) , ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABYAAAALCAYAAAB7/H1+AAAACXBIWXMAAA6qAAAORgGuYJr4AAABV0lEQVR4nGP59+/ffwYaABZqGfT48n6GTYfuMOhaezOoGEpTx+CfT88wdC+/zJAWb87Q3tnJsPuHLsTgb28fMayfP5Xhk3IgQ7qvBsP0idMZEnIrGLjZGMEaX989w3DsylMko1gYFHXMGPSURcG8+xeOMfBLKjHoquoxOLG2MXxcMA9iMBM7N4Oqti7DxU8MDH9fX2F48kEDbigIsHMLMkhK/kNxJT83O5z99/dvBj4ObjBbgJOZQY7hK8RgDh5hhpfvHzPwqtkyHN/axcBqlMLw4cc/BgEOJoiL75xh2LDtEorB5t7CDPISfGA2r5gow/Vztxm+f9NjOPFGlGGVRCoijNl+f2LYvHwOg6u2OMPdswcY3tppAw1mA8sp24QztAExLiBt4MNgtb+OoaThFoOIWxBDd4UxwmD3+HYGdyg7FKcR2AEzlxBDSvUUFDGqJTd0MPQMBgCJSl/TEUfpGgAAAABJRU5ErkJggg==) , следовательно, система {![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAANCAYAAACUwi84AAAACXBIWXMAAA+MAAAPKQE6RWo4AAAA40lEQVR4nGP5DwQMeAALPkm4gh+fPjAwcHIwvHjwmIFbXJZBlI8DWcE7hsXdsxjUddgZdlz/yPDjryJDX3M8QsG5JU0MnIENDOuWNjM09NYyzGyZgGrFiZMsDBaerxgeseoz3N2wiIFJJxAsceHAFoZHL/8ysITl+TC0pOQznP3Iz/CVx5uholIfrODY2gMMa5f8Z2ARUXVgSI3ZxuCg3cwQoMEON/qrnhLD8yobiC+eXuZjkHNmR7L5HYPQTz6G4lA9iAK3hhokyW8Ms+rKGNRjJzEYyWINKC6GtKY5JIYkPgAA+VBEOCy9wRQAAAAASUVORK5CYII=) } является полной ортогональной системой. Полагая ее ортонормированной, имеем
Достарыңызбен бөлісу: |