ДОКАЗАТЕЛЬСТВО.
(б) Если ![](data:image/png;base64,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) , то ![](data:image/png;base64,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) , поэтому ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADsAAAALCAYAAADBX/UeAAAACXBIWXMAAA7NAAAORgG7kaUaAAADr0lEQVR4nOWUfUxbZRTGf+1toZS2fLiJG2XoYOg6s4B8DLIMgkvjsGMONo3TuMTAFJHEzPkFJH5u/4g6NicscxBxOp0mqNHFGIb4kSXTtEqQkC0DtvEhc+1oy2haYG29vXSbZcyCf7onee+97/ue+5znnPecV+Hz+fzcJFBwtp2Hd3bz9t4KdH91U/NWExM2J+kVtVQWGq4aWtoaaTkyTk3jC9yKm64v3qDZU8zerblzduZ3j/Lco9VsaXmHLG30fxYd4Pno/d2ckefzcpUxZM81bKF2RyOmXXUYU+KwD/Ww9bU9HBVKxGBFCBEqotQR/NR6kKUbX2L7sl62vHqIDTk70UcL2HrasLo0XGCSCKUPOSo06kjwhIqYvNhP84Em+i5NF4tSHCnZGygrCU2IRqcRFfslIW0dnSTdk8eUdYDM/AKi5eGDtZzoQOVXMqqMvC4J3/82gFbmQ1BPE0VF61AK0/uKK4Zy2Rjnz9q584EkZEt8JE+N4vbIQDyABQYjRdqfOfyt419F9LQ14c0op27dHWEFB06gbvcRjKUP8uOnr+PSbBKDnd4bOfkr5tPDeL0RCMKk9E42ZJCRtljazyrchG5shOPnQzllUfEUF5dw6qvvZvWpmLlgszthzIldpkZQysKKDiFTKLHZLopf4YPtPNbOLbmbyTMs4uP3oGa/6eqpqjQaEhISQ+xjtOp5aZlVX+AheCfx+XVk3ptNfeshYlKcxKxeR+SFDvZ/7uXJRzKxdJ3kz+FuzJZeVmcsm5Vs+X3bSNjXwPM1rdL8RmUs+RQUuK39HPuyC+9CDef+MJOQly0FHKc3kKO/sehAu3Sd7qNv4DKnzi0nLVnO4Tc/IKdsOxqrmUHrGfzHf8dgXEWsaD/lDTgMBusVIiSSleufpir2KEOeDKoLV9Hf3sKE0oDvshuHfBFV5UV4R21MyFMle/+Me1zQJlJRvWtOWU43PYTrRCfxKfk8k6ZHe5dhTv0agNM5hiK1gDJRhs3hYolmnCGbQIHKj9VxicLHnxKtXDgd48TquNazMjFQ5+APHGhI5IlKk9QPWUHSBbfn8ZhphZgUGWuLrpXVoLmV+s9+Ifp+09zU/QO6+DHera7n2R3lIuf66cVgL84VC5ems1EcV+AY7mXzi9uky1Sfu5aVwXWPfYjmhjpG3DEsvi0ShT9pDd98vWZW0uQVd8+6npRVyr4PS+clMIDABfLKwU/m/V84xCamSuU6E6o4PZW1e6gMzq+7oP7PuKmC/RvcOzJDZCFAjwAAAABJRU5ErkJggg==) . Следовательно, ![](data:image/png;base64,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) . Любую функцию ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAALCAYAAAB24g05AAAACXBIWXMAAA5eAAAORgEgY8H3AAAB1klEQVR4nKWSX0hTYRjGfzt+MWtOpy3m1lnlYCpmQbE/obVBo9xNUDd64U2hkIRBN0WKEJREfy5kedsouimigqiramB2E0qmFwUllLM8NHVuhCM28pw8Z2QYu4nei+/ix/c87/t87ydUTdUoUXOJYa7NBIh1BddY9vM4Z+IvuD3Yt8aEfpjUHHevXuLZVAp/xymal0ZZbu0mFqlaZ2qr8xM/X0ds8ALR0xdpqNIQujhx6wo3xxbp6+/Ht62MgRt5Lp+wrUo0kpOvSKpumh0/eKsIIn4vIa9KYuIrrrCM0CQLWqHA4aPtNHmciPwslkozVkkzJpvPpnkcv89MWxv7Ii3GJFvd9SQ/fWNekosRviyU4evYg3NzBTkFct/zxkXdPBA6xL07D5H9QeqdNQbPZFKIDbvZqL+BaSXLdHqZg1uKeStqt+Mrh6n0Co1Sipejb3BY7Iw9H0GujNDgMPNuWmF/dAeu1YiiMDfBgtREtc1sZNa7HukM8+DpI6xBL+XuXZwc2MnkhxS11k28fz2CYovS21hsKIauP+FYz1kj8++q8bTSbhrn40+Z0F67wcIOD/mMwiJ2eo/7/qzx3PBQqW9grCzwFzNXuzjQ4lrHREn1P9R/G/wCF/uR3yhsJ58AAAAASUVORK5CYII=) из ![](data:image/png;base64,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) можем продолжить нулем в промежуток ![](data:image/png;base64,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) . Полученную функцию разложим в ряд Фурье по собственным функциям задачи (3.8)-(3.9), который сходится по норме пространства ![](data:image/png;base64,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) . Тогда этот ряд сходится и по норме пространства ![](data:image/png;base64,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) , поскольку члены ряда уже не ортогональны, то это есть базис Рисса.
(в) Если ![](data:image/png;base64,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) , то из равенств
![](data:image/png;base64,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) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACIAAAALCAYAAAAa5F88AAAACXBIWXMAAA75AAAORgEkeuChAAACmUlEQVR4nM2UX0iTURjGn7VPzTaVTStdpstV25iR/UFl7lNDIpcFItRFhUKIEBghWJEXgWgGohGYWpGwpAQpwZsoqpG4zCaZC5ubm01yONP2B21z02y2fSNt+I3Cm3ouDi/Ped9zfuc9h0N4vd5l0GjRPo6yS7fQ2HYDscurKZ+e1qFhUorW0ly6snWLoDMtg0/QqYuA4l4j4IPQqtrR3GJEpaIWAnkVmqx61NTWo6TiMpJYtOcIqRet19E1YYVzkokrN6sh4UYGQJwWLVQj05CS2bB/UGHsRwIsb1VIzi6nEhzGXny2E5j1MUds9Bm+fYk4EfbEtOCd3oykA4l/DeGaGcbdNxYoFE3ovXMRHd2DuHZWFgAxmEwY6O6EIyoFeU4D1G4euC4rxHEcKoGzKxsF0UN43GUKWjQ+no9+qzPI+/i8HR09+iBPRJ5EsTyNihc8k4hibAWLCezewYFKO7eSR+yXHceSeRSvDEYMcRJRIRfivgaYnXf7plkhT+f4OoUwLjPI2yLYizzmtiBvc3L8SsxghMHucVGx2eQBgxu9CuIf+KlimB8oISu+QNFK90mhNkzA1xYwFuagGdbhy7QO6r5hHMlIBdvrwLhtCQeFSSFBf+n3F8TmiCEIb0aHsgf6sVmQpdvR03wVmu7+AIjLvQkZsgJkSRKoAklOPkY7H6FPm4D0lHBMeWJQdu4ENthm8G3OhvfKZ2ClFyMzMWJtRwShocLYPFTX1+DlgBGHSyqQmcJG2+159I/zQDxsqIJXKEfRUTKooOjUGbxWj2BRRCL/WMHKnP9xY2cWStL4f+wGndg8CQoLJVT83W1DTvl55NTxQZyurKOnj4zFoVxyje9fiOSti4F2D7EwFv4LpP1H/oX+G5CfqivdwlsakawAAAAASUVORK5CYII=)
выводим, что ![](data:image/png;base64,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) ![](data:image/png;base64,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) . Следовательно, по теореме единственности решения задачи Коши ![](data:image/png;base64,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) .
(г) Этот пункт является следствием теоремы 3.2.
Достарыңызбен бөлісу: |