Collected Papers [Paperback]

Marcel Riesz (1886-1969) was the younger of the famed pair of mathematicians and brothers. Although Hungarian he spent most of his professional life in Sweden. He worked on summability theory, analytic functions, the moment problem, harmonic and functional analysis, potential theory and the wave equation. The depth of his research and the clarity of his writing place his work on the same level as that of his brother Fr?d?ric Riesz. This edition of his Collected Papers contains most of Marcel Riesz's published papers with the exception of a few papers in Hungarian that were subsumed into later books. It also includes a translation by J. Horv?th of Riesz's thesis on summable trigonometric series and summable power series. They are thus a valuable reference work for libraries and for researchers.Marcel Riesz (1886-1969) was the younger of the famed pair of mathematicians and brothers. Although Hungarian he spent most of his professional life in Sweden. He worked on summability theory, analytic functions, the moment problem, harmonic and functional analysis, potential theory and the wave equation. The depth of his research and the clarity of his writing place his work on the same level as that of his brother Fr?d?ric Riesz. This edition of his Collected Papers contains most of Marcel Riesz's published papers with the exception of a few papers in Hungarian that were subsumed into later books. It also includes a translation by J. Horv?th of Riesz's thesis on summable trigonometric series and summable power series. They are thus a valuable reference work for libraries and for researchers.Marcel Riesz in Memoriam.- Summable Trigonometric Series and Summable Power Series.- Sur les S?ries Trigonom?triques.- Sur les S?ries de Dirichlet.- Sur la Sommation Des S?ries de Dirichlet.- Sur Les S?ries de Dirichlet et Les S?ries Enti?res.- Sur un Probleme d Abel.- Une M?thode de Sommation ?quivalente ? la M?thode des Moyennes Arithm?tiques.- ?ber einen Satz des Herm Fatou.- ?ber SummlSx