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Marcel Riesz in Lund

Historical Lecture

Part of the Lecture Notes in Mathematics book series (LNM,volume 1302)

Keywords

  • Acta Math
  • Moment Problem
  • Monogenic Function
  • Summation Method
  • Riesz Theorem

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References

  1. Brackx, F., Delanghe, R., Sommen, F.: Clifford analysis. Research notes in mathematics 76. Boston: Pitman 1982.

    MATH  Google Scholar 

  2. Bondesson, L., Peetre, J.: The classes Va are monotone. These proceedings.

    Google Scholar 

  3. Cartwright, M.L.: Manuscripts of Hardy, Littlewood, Marcel Riesz and Titchmarsh. Bull. London Math. Soc. 14, 472–532 (1982).

    CrossRef  MATH  MathSciNet  Google Scholar 

  4. Essén, M.: A superharmonic proof of M. Riesz conjugate function theorem. Ark. Mat. 22, 241–249 (1984).

    CrossRef  MATH  MathSciNet  Google Scholar 

  5. Essén, M.: A generalization of the M. Riesz theorem on conjugate functions and the Zygmund LlogL-theorem to Rd, d≥2. Technical report. Uppsala: 1986.

    Google Scholar 

  6. Frostman, O.: Potentil d’équilibre et capcité des ensembles avec quelques applications a la théorie des functions. Commun. Sém. Math. Univ. Lund 3, 1–118 (1935).

    Google Scholar 

  7. Fefferman, C., Stein, E.: Hp spaces of several variables. Acta Math. 129, 137–193 (1972).

    CrossRef  MATH  MathSciNet  Google Scholar 

  8. Gârding, L.: Marcel Riesz in memoriam. Åcta Math. 124, I–XI (1970).

    CrossRef  MATH  Google Scholar 

  9. Gârding, L.: Marcel Riesz. In: Kungl. Fysiogr. Sällsk. Arsbok 1970, pp. 65–70. Lund: 1970.

    Google Scholar 

  10. Gârding, L.: Sharp fronts and lacunas. In: Actes, Congr. International des Mathématiciens, 1/10 septembre 1970, Nice, France, t. 2, pp. 723–729. Paris: Gauthier-Villars 1971.

    Google Scholar 

  11. Gârding, L.: The solution of Cauchy’s problem for two totally hyperbolic linear differential equations by means of Riesz integrals. Ann. Math. 48, 785–826 (1947).

    CrossRef  MATH  Google Scholar 

  12. Gel’fand, I.M., Shilov, G.E.: Generalized functions I. Moscow: Goz. Izd. Fiz.-Mat. Lit. 1958 [Russian].

    Google Scholar 

  13. Horvath, J.: L’oeuvre mathématique de Marcel Riesz I, II. Cah. Semin. Math. Hist. 3, 83–121 (1982), 4, 1–59 (1983).

    Google Scholar 

  14. Horvath, J.: Sur les fonctions conjugées a plusieurs variables. Indag. Math. 16, 17–29 (1953).

    Google Scholar 

  15. Hardy, G.H., Riesz, M.: The general theory of Dirichlet series. Cambridge Tracts in Mathematics 18. Cambridge: Cambridge University Press 1915.

    Google Scholar 

  16. Janson, S., Peetre, J.: Harmonic Interpolation. In: Lecture Notes in Mathematics 1070, pp. 92–124. Springer: Berlin etc. 1984.

    Google Scholar 

  17. Littlewood, J.: Some problems in real and complex analysis. Lexington: Heath 1968.

    MATH  Google Scholar 

  18. McIntosh, A.: Clifford algebras and some applications in analysis. Notes by J. Picton-Warlow.

    Google Scholar 

  19. Peetre, J.: biography of Marcel Riesz. In: Biographic Encyclopedia of Scientists and Technologists. Milano: Mondadori 1974.

    Google Scholar 

  20. Peetre, J.: Van der Waerden’s conjecture and hyperbolicity. (Technical report). Lund: 1981.

    Google Scholar 

  21. Peetre, J.: Two new interpolation methods based on the duality map. Acta Math. 143, 73–91 (1979).

    CrossRef  MATH  MathSciNet  Google Scholar 

  22. Riesz, M.: L’intégrale de Riemann-Liouville et le probleme de Cauchy. Acta Math. 81, 1–223 (1949).

    CrossRef  MATH  MathSciNet  Google Scholar 

  23. Riesz, M.: Sur les fonctions conjuguées. Math. Z. 27, 218–244 (1927).

    CrossRef  MATH  MathSciNet  Google Scholar 

  24. Riesz, M.: Sur les maxima des formes bilinéaires et sur les fonctionelles linéaires. Acta Math. 49, 465–497 (1927).

    CrossRef  MATH  MathSciNet  Google Scholar 

  25. Riesz, M.: Clifford numbers and spinors. Lecture notes. College Park: Institute for Fluid Dynamics and Applied Mathematics of the University of Maryland 1957.

    Google Scholar 

  26. Stein, E.M., Weiss, G.: On the theory of harmonic functions of several variables, I. The theory of Hp-spaces. Acta Math. 103, 25–62 (1960).

    CrossRef  MATH  MathSciNet  Google Scholar 

  27. Thorin, O.: An extension of a convexity theorem of M. Riesz Kungl. Fysiogr. Sällsk. i Lund Förh. 8, 166–170 (1938).

    Google Scholar 

  28. Thorin, O.: Convexity theorems generalizing those of M. Riesz and Hadamard with some applications. Comm. Sém. Math. Univ. Lund. 9, 1–58 (1948).

    MathSciNet  Google Scholar 

  29. Thorin, O.: personal communication (Dec. 1979).

    Google Scholar 

  30. Tits, J., review of [R4]. Math. Rev. 31, 1113–1114 (1966).

    Google Scholar 

  31. Weil, A.: History of mathematics: why and how. In: Proc. Internat. Congr. of Mathematicians, Helsinki, Aug. 15–23, 1978, pp. 227–236. Helsinki: 1980.

    Google Scholar 

  32. Wimp, J.: Sequence transformations and their applications. New York: Academic Press 1981.

    MATH  Google Scholar 

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© 1988 Springer-Verlag

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Peetre, J. (1988). Marcel Riesz in Lund. In: Cwikel, M., Peetre, J., Sagher, Y., Wallin, H. (eds) Function Spaces and Applications. Lecture Notes in Mathematics, vol 1302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078859

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  • DOI: https://doi.org/10.1007/BFb0078859

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