Download e-book for kindle: Complex Geometry of Groups: January 5-11, 1998, Olmue, Chile by Angel Carocca, Victor Gonzalez-Aguilera, Rubi E. Rodriguez

By Angel Carocca, Victor Gonzalez-Aguilera, Rubi E. Rodriguez

ISBN-10: 0821813811

ISBN-13: 9780821813812

ISBN-10: 1119843863

ISBN-13: 9781119843863

ISBN-10: 1219743674

ISBN-13: 9781219743674

ISBN-10: 2419831071

ISBN-13: 9782419831079

ISBN-10: 4419772913

ISBN-13: 9784419772918

ISBN-10: 6519902772

ISBN-13: 9786519902776

ISBN-10: 9719895535

ISBN-13: 9789719895534

This quantity provides the complaints of the I Iberoamerican Congress on Geometry: Cruz del Sur held in Olmue, Chile. the most subject used to be 'The Geometry of teams: Curves, Abelian types, Theoretical and Computational Aspects'. individuals got here from around the globe. the quantity gathers the increased contributions from lots of the members within the Congress. Articles mirror the subject in its range and harmony, and particularly, the paintings performed at the topic via Iberoamerican mathematicians. unique effects and surveys are incorporated at the following parts: curves and Riemann surfaces, abelian types, and intricate dynamics. The methods are diverse, together with Kleinian teams, quasiconformal mappings and Teichmuller areas, functionality thought, moduli areas, automorphism teams, algebraic geometry, and extra

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Additional info for Complex Geometry of Groups: January 5-11, 1998, Olmue, Chile

Sample text

J. Duffin) . :§ r 50 A § 7. Unendliche Reihen 44. Für jedes natürliche n seien n Zahlen n L niert derart, daß, für eine feste KonstanteC, 1,2, ... , n) defi- a~n) (11 = 0=1 la~n)1 <. C (n = 1,2, ... ) und, für jedes natürliche 11, a~n) -- 0 (n -- 00) gilt. eine Nullfolge, n L a~n) ~. (n = so ist auch 'YJn = 1,2, ... ) eine Nullfolge . • =1 45. Gilt a. - ce, so gilt Lim 2- n n-+CCI f (n) a. = ce. v=1 l' 46. An: a~n), a~n), ... A! 0=1 la~n)1 (n = 1,2, ... ) endlich sind und unterhalb einer von n unabhängigen Schranke C liegen.

A. >- 0), so gilt v=l >- 0 und konvergiert = o. lim a. u. "-.... 1 25. =2 26. =1 (oe, ß >- 0) ? 27 . Untersuche die Konvergenz oder Divergenz der folgenden Reihen: a) '~3 1 (lg IgV)lglg. ~3 1 1 (lgv)lg. ~3 (lg v) 18 Ig v • 48 A § 7. Unendliche Reihen 28. Sind Pb ... , Pn+l von Null verschieden und ist = al + ... +av (v = 1, 2, ( ) PI a1+ P2 a2 + ... + Pv a. pV+l-pv ... , n), 8, b• -_ (v P,P'+1 = 1, 2, .... , n), so gilt identisch 29. Konvergiert so konvergiert "" L a. und ist '=1 L b. und ist gleich ,=1 L"" av • v=1 30.

36. Sind Cl, ... , Cn n positive Konstanten und cpl(X), ... =1 c. , ß> konvex. , ß> eigentlich konvex, so ist auch L c. (x) • =1 11 in (oe, ß> eigentlich konvex . 37. Sind CPl (x), ... (x) dort konvex. , ß> eigentlich konvex, so gilt dasselbe für C/>(x). 38. ,~ß> konvexen Funktionen. , ß>. (oe 39. ,ß-x) , I sobald x+ e bzw. x- e in (oe, ß> liegt. :;§ 0 A § 6. Unendliche Folgen 40. Ist f(x) stetig in (rx, ß> und gilt für jedes x aus (rx, ß): . f(x+(j)+f(x-(j)-2f(x) L 1m (j2 ~ ...... o = 0, so ist f(x) linear in (rx, ß> (H.

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Complex Geometry of Groups: January 5-11, 1998, Olmue, Chile by Angel Carocca, Victor Gonzalez-Aguilera, Rubi E. Rodriguez

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