| 書目名稱 | On the Problem of Plateau / Subharmonic Functions | | 編輯 | Tibor Radó | | 視頻video | http://file.papertrans.cn/702/701268/701268.mp4 | | 叢書名稱 | Ergebnisse der Mathematik und Ihrer Grenzgebiete. 1. Folge | | 圖書封面 |  | | 描述 | A convex function f may be called sublinear in the following sense; if a linear function l is ::=: j at the boundary points of an interval, then l:> j in the interior of that interval also. If we replace the terms interval and linear junction by the terms domain and harmonic function, we obtain a statement which expresses the characteristic property of subharmonic functions of two or more variables. This ge- neralization, formulated and developed by F. RIEsz, immediately at- tracted the attention of many mathematicians, both on account of its intrinsic interest and on account of the wide range of its applications. If f (z) is an analytic function of the complex variable z = x + i y. then If (z) I is subharmonic. The potential of a negative mass-distribu- tion is subharmonic. In differential geometry, surfaces of negative curvature and minimal surfaces can be characterized in terms of sub- harmonic functions. The idea of a subharmonic function leads to significant applications and interpretations in the fields just referred to, and· conversely, every one of these fields is an apparently in- exhaustible source of new theorems on subharmonic functions, either by analogy or by direct i | | 出版日期 | Book 1971 | | 關(guān)鍵詞 | Functions; Plateausches Problem; Problem of Plateau; Subharmonische Funktion; function; minimum; subharmon | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-65236-3 | | isbn_softcover | 978-3-540-05479-5 | | isbn_ebook | 978-3-642-65236-3 | | copyright | Springer Science+Business Media New York 1971 |
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