On the Problem of Plateau / Subharmonic Functions - Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 1. Folge - T. Rado - Grāmatas - Springer-Verlag Berlin and Heidelberg Gm - 9783540054795 - 1971. gada 4. janvāris
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T. Rado
On the Problem of Plateau / Subharmonic Functions - Ergebnisse Der Mathematik Und Ihrer Grenzgebiete. 1. Folge

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Paredzamā piegāde . gada 26. nov. - . gada 4. dec.
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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 implication.

109 pages, biography

Mediji Grāmatas     Paperback Book   (Grāmata ar mīksto vāku un līmēto muguru)
Izlaists 1971. gada 4. janvāris
ISBN13 9783540054795
Izdevēji Springer-Verlag Berlin and Heidelberg Gm
Lapas 109
Izmēri 152 × 229 × 10 mm   ·   258 g
Valoda Angļu  

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