£53.00

LAP Lambert Academic Publishing Мультипликативные автоморфные формы. Подмногообразия Тейхмюллера.: Пространства мультипликативных автоморфных форм и подмногообразия в пространствах ... w prostranstwah Shottki i Tejhmüllera

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£130.87 £45.21 £63.90 £82.59 £101.28 £119.97 £138.66 21 May 2026 12 June 2026 05 July 2026 27 July 2026 19 August 2026

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Description

Первая часть книги связана с функциональным анализом в пространствах мультипликативных автоморфных форм (дифференциалов Прима). Для таких пространств вводятся норма, билинейные спаривания мультипликативных форм в связи с основными видами их двойственности, операторы проектирования измеримых форм на голоморфные и др. По введенным билинейным спариваниям строятся мультипликативные операторы Берса, которые связаны с отражением относительно квазиокружности и устанавливают соответствие между двойственными пространствами мультипликативных голоморфных форм. Для всех рассмотренных операторов и функционалов получены универсальные оценки нормы. Во второй части исследованы топологическая и аналитическая структуры подмногообразий в пространствах Тейхмюллера и Шоттки для двух классов двупорождённых групп конформных автоморфизмов на компактной римановой поверхности. Для этих групп оказалось возможным найти плоские конформные модели и с учетом этого выписать явные (глобальные) координаты в пространстве римановых поверхностей, допускающих конечные группы конформных автоморфизмов.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
01 February 2011
Listed Since
29 January 2013

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