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Abstract. This article reviews Marcel Riesz’s lecture notes on Clifford Numbers and Spinors, 1958, and evaluates its effect on present research on Clifford algebras. The article begins with a critical survey of the history of Clifford algebras. Inaccuracies in citations are pointed out and mistaken priorities are rectified.
Marcel Riesz (16 November 1886 – 4 September 1969) was a Hungarian-born mathematician, known for work on summation methods, potential theory, and other parts of analysis, as well as number theory, partial differential equations, and Clifford algebras. He spent most of his career in Lund (Sweden). He was born in Győr, Hungary (Austria-Hungary ...
29 de jul. de 2023 · In this respect, the four notes Marcel Riesz wrote betw een 1922 and 1923, devoted to the moment problem on the line, burst of original ideas and far. reaching new results [24]. O ne of the widely ...
1970 Marcel Riesz in memoriam. Lars Gårding. Author Affiliations + Acta Math. 124: I-XI (1970). DOI: 10.1007/BF02394565. ABOUT ...
29 de jul. de 2023 · Moment indeterminateness: the Marcel Riesz variational principle. The discrete data encoded in the power moments of a positive measure, fast decaying at infinity on euclidean space, is incomplete for recovery, leading to the concept of moment indeterminateness. On the other hand, classical integral transforms (Fourier-Laplace, Fantappiè ...
MARCEL RIESZ IN MEMORIAM BY LARS GARDING Lund Marcel Riesz was born in GySr, Hungary, November 16, 1886 and died in Lund, Sweden, on September 4, 1969. He studied in Budapest, GSttingen and Paris. In 1911 Mittag-Leffler invited him to come to Sweden where he taught at Stockholms HSgskola.
Marcel Riesz’ extension technique was exploited (and sometimes rein-vented over decades) in relation to the construction of various integrals and measures. Notable in this respect is Daniell’s integral [10, 8]. A general account on extensions of positive functionals and relations to specific inte-
