{"product_id":"9783540054795","title":"Ergebnisse der Mathematik und Ihrer Grenzgebiete. 1. Folge","description":"\u003ch1\u003eErgebnisse der Mathematik und Ihrer Grenzgebiete. 1. Folge\u003c\/h1\u003e \u003ch2\u003eRado, T.\u003c\/h2\u003e \u003cp\u003eA 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:\u0026gt; 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 implication.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1971-01-04\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540054795\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-642-65236-3\u003c\/p\u003e \u003cp\u003eDimensions: cm xcm\u003c\/p\u003e \u003cp\u003ePages: 109\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":44478916296844,"sku":"9783540054795","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540054795.jpg?v=1775818256","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540054795","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}