Rendiconti del Circolo Matematico di Palermo

, Volume 14, Issue 3, pp 257–266 | Cite as

Set functions and an Extremal Problem in absolute continuity

  • William D. L. Appling


Interval Function Extremal Problem Absolute Continuity Usual Meaning Type Limit 
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  1. [1]
    E. Hellinger,Die Orthogonalinvarianten Quadratischer Formen von unendlichvielen Variablen, Dissertation, Gottingen, 1907.Google Scholar
  2. [2]
    A. Kolmogoroff,Untersuchen uber den Integralbegriff, Math. Ann. 103 (1930), pp. 654–696.CrossRefMathSciNetGoogle Scholar
  3. [3]
    W. D. L. Appling,Interval Functions and the Hellinger Integral, Duke Math. J., vol. 29 (1962), pp. 515–520.MATHCrossRefMathSciNetGoogle Scholar
  4. [4]
    W. D. L. Appling,Characterizations of some absolutely continuous additive set functions, Rend. Circ. Mat. Palermo, Serie II, Tomo XII, 1963, pp. 347–352.MathSciNetGoogle Scholar

Copyright information

© Springer 1965

Authors and Affiliations

  • William D. L. Appling
    • 1
  1. 1.DentonU.S.A.

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