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Home    Μελέτη στη μαθηματική ανάλυση και στη γεωμετρία: α) Δείκτης στροφής και ασθενή άστρο όριο ειδικών μέτρων πιθανότητας. β) Επιφάνειες με ισομετρικές καμπύλες  

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Identifier uch.math.phd//1994DIS0131
Title Μελέτη στη μαθηματική ανάλυση και στη γεωμετρία: α) Δείκτης στροφής και ασθενή άστρο όριο ειδικών μέτρων πιθανότητας. β) Επιφάνειες με ισομετρικές καμπύλες
Alternative Title Two projects in mathematical analysis and geometry: a) Winding number and weak star limits of probability measures of special type. b) Surfaces with congruent curves
Creator Papadoperakis, John
Abstract This thesis contains two independent subjects one in mathematical analysis and the other in geometry, Chapter A: winding number and weak star limits of probability measures of special type. We study the weak star accumulation points of sequences of probability measures of the form (type). The motivation of our study has been given by a result relating interval averages with the winding number. Chapter B: surfaces with congruent periodic curves in RK satisfies certain conditions, then these curves have constant functions of curvature. The motivation of our result has been to prove that, if a surface in R3 homeomorphic to the sphere contail "many" congruent periodic curves, then the surfaces is a sphere and the curves are circles.
Issue date 1994-08-01
Date available 1997-06-6
Collection   School/Department--School of Sciences and Engineering--Department of Mathematics--Doctoral theses
  Type of Work--Doctoral theses
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