Mathematician:Marcel Riesz

Mathematician

Hungarian mathematician who worked on analysis, number theory and abstract algebra, among other fields.

Younger brother of the mathematician Frigyes Riesz.

Nationality

Hungarian

History

• Born: 16 Nov 1886, Györ, Austria-Hungary (now Hungary)
• Died: 4 Sept 1969 in Lund, Sweden

Theorems and Definitions

• F. and M. Riesz Theorem (with Frigyes Riesz)
• Riesz Potential
• Riesz Mean
• Bochner-Riesz Mean (with Salomon Bochner)
• Strong-Riesz Mean
• Riesz Function
• Riesz-Thorin Theorem (with Olof Thorin)

Publications

• 1907: Summierbare trigonometrische Reihen und Potenzreihen (doctoral thesis)
• 1911: Über summierbare trigonometrische Reihen
• 1915: The General Theory of Dirichlet's Series (with G.H. Hardy)
• 1916: Über die Randwerte einer analytischen Funktion (with Frigyes Riesz)
• 1916: Sur l'hypothèse de Riemann
• 1949: L'intégrale de Riemann-Liouville et le problème de Cauchy
• Problems related to characteristic surfaces
• 1953: Sur le lemme de Zolotareff et sur la loi de réciprocité des restes quadratiques

Sources

• John J. O'Connor and Edmund F. Robertson: "Marcel Riesz": MacTutor History of Mathematics archive