Об аналогах системы ... (Russian Edition) - Softcover

9783659685781: Об аналогах системы ... (Russian Edition)
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Известная система функций Радемахера широко применяется в теории ортогональных рядов и её приложениях и имеет важную теоретико-вероятностную интерпретацию. В настоящей работе определяется обширный класс систем типа Радемахера, содержащий в себе систему Радемахера и изучаются свойства систем этого класса. Далее на основе конструкции скрещенного произведения двух ортонормированных систем функций определяются континуальные аналоги систем типа Радемахера. Вводятся понятия преобразований и интегралов Фурье-Радемахера интегрируемых функций и функций, интегрируемых в квадрате. Изучаются свойства указанных преобразований и интегралов Фурье-Радемахера.

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