Harmonic and Subharmonic Function Theory on the Hyperbolic Ball
暫譯: 超球面上的諧波與亞諧波函數理論
Stoll, Manfred
- 出版商: Cambridge
- 出版日期: 2016-06-30
- 售價: $3,050
- 貴賓價: 9.5 折 $2,898
- 語言: 英文
- 頁數: 230
- 裝訂: Quality Paper - also called trade paper
- ISBN: 1107541484
- ISBN-13: 9781107541481
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相關分類:
離散數學 Discrete-mathematics
海外代購書籍(需單獨結帳)
相關主題
商品描述
This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other relevant results for the hyperbolic upper half-space are included both in the text and in the end-of-chapter exercises. These exercises expand on the topics covered in the chapter and involve routine computations and inequalities not included in the text. The book also includes some open problems, which may be a source for potential research projects.
商品描述(中文翻譯)
這本綜合性的專著非常適合該領域的資深研究者以及希望深入了解該主題的研究生。該文本對廣泛的讀者群體來說是可接觸的,因為它不需要任何李群(Lie groups)的知識,僅需有限的微分幾何(differential geometry)知識。作者的主要重點是超球體(hyperbolic ball)上的潛能理論(potential theory),但文本中也包含了許多與超上半空間(hyperbolic upper half-space)相關的結果,這些結果同樣出現在章節末的練習題中。這些練習題擴展了章節中涵蓋的主題,並涉及文本中未包含的常規計算和不等式。書中還包括一些開放性問題,這些問題可能成為潛在研究項目的來源。