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Identifier uch.math.msc//2006tsifountidou
Title Ιστορικές ρίζες του Ολοκληρώματος Stieltjes
Alternative Title Historical Roots of Stieltjes Integral
Author Τσιφουντίδου, Φωτεινή
Abstract This master thesis is consisted of two parts. In the first part we study T.-J. Stieltjes' last paper on continued fractions. In this beautiful work, he studied the analytical behavior of the continued fraction of the form 1 a1z + 1 a2+. . . + 1 2k−1z+ 1 a2k+. . . , where a1, a2, . . . , an, . . . are all positive numbers and z is a complex number. Among the other mathematical notions, which he defines, is the famous type of integral which nowadays has his name. In the second part we study some important papers which are related to the history of Stieltjes integral and were published by F. Riesz, H. Lebesgue and J. Radon at the beginning of the 20th century.
Language Greek
Subject Riesz Representation
Stieltjes integral
continued fractions
the moment problem
Issue date 2006-06-07
Collection   School/Department--School of Sciences and Engineering--Department of Mathematics--Post-graduate theses
  Type of Work--Post-graduate theses
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