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About Ralph Henstock

  • Pat Muldowney
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1419)

Keywords

Gauge Function Convergence Factor Divergent Series Division Space Birkbeck College 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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List of publications of R. Henstock

  1. 1.
    . On interval functions and their integrals, J 21 (1946) 204–09, MR 8, 572.MathSciNetzbMATHGoogle Scholar
  2. 2.
    . The efficiency of matrices for Taylor series, J 22 (1947) 104–07, MR 9, 278.MathSciNetzbMATHGoogle Scholar
  3. 3.
    . On interval functions and their integrals (II), J 23 (1948) 118–28, MR 10, 239.MathSciNetzbMATHGoogle Scholar
  4. 4.
    . The efficiency of matrices for bounded sequences, J 25 (1950) 27–33, MR 11, 429.MathSciNetzbMATHGoogle Scholar
  5. 5.
    . Sets of uniqueness for trigonometric series and integrals, Proceedings Cambridge Philosophical Society, 46 (1950) 538–48, MR 12, 496.MathSciNetCrossRefzbMATHGoogle Scholar
  6. 6.
    . Density integration, P (2) 53 (1951) 192–211, MR 13, 20.MathSciNetzbMATHGoogle Scholar
  7. 7.
    . (with A. M. Macbeath) On the measure of sum-sets (I) The theorems of Brunn, Minkowski, and Lusternik, P (3) 3 (1953) 182–94, MR 15, 109.MathSciNetzbMATHGoogle Scholar
  8. 8.
    . Linear functions with domain a real countably infinite dimensional space, P (3) 5 (1955) 238–56, MR 17, 176.MathSciNetzbMATHGoogle Scholar
  9. 9.
    . The efficiency of convergence factors for functions of a continuous real variable, J 30 (1955) 273–86, MR 17, 359.MathSciNetzbMATHGoogle Scholar
  10. 10.
    . Linear and bilinear functions with domain contained in a real countably infinite dimensional space, P (3) 6 (1956) 481–500, MR 18, 584.MathSciNetzbMATHGoogle Scholar
  11. 11.
    . On Ward's Perron-Stieltjes integral, C 9 (1957) 96–109, MR 18, 880.MathSciNetzbMATHGoogle Scholar
  12. 12.
    . The summation by convergence factors of Laplace-Stieltjes integrals outside their half-plane of convergence, Mathematische Zeitschrift 67 (1957) 10–31, MR 18, 880.MathSciNetCrossRefzbMATHGoogle Scholar
  13. 13.
    . A new descriptive definition of the Ward integral, J 35 (1960) 43–48, MR 22 #1648.MathSciNetzbMATHGoogle Scholar
  14. 14.
    . The use of convergence factors in Ward integration, P (3) 10 (1960) 107–21, MR 22 #12197.MathSciNetzbMATHGoogle Scholar
  15. 15.
    . The equivalence of generalized forms of the Ward, variational, Denjoy-Stieltjes, and Perron-Stieltjes integrals, P (3) 10 (1960) 281–303, MR 22 #12198.MathSciNetzbMATHGoogle Scholar
  16. 16.
    . N-variation and N-variational integrals of set functions, P (3) 11 (1961) 109–33, MR 23 #A995.MathSciNetzbMATHGoogle Scholar
  17. 17.
    . Definitions of Riemann type of the variational integrals, P (3) 11 (1961) 402–18, MR 24 #A1994.MathSciNetzbMATHGoogle Scholar
  18. 18.
    . Difference-sets and the Banach-Steinhaus theorem, P (3) 13 (1963) 305–21, MR 26 #6776.MathSciNetzbMATHGoogle Scholar
  19. 19.
    . Tauberian theorems for integrals, C 15 (1963) 433–39, MR 28 #2187.MathSciNetzbMATHGoogle Scholar
  20. 20.
    . Theory of integration, (Butterworths, London, 1963), MR 28 #1274.zbMATHGoogle Scholar
  21. 21.
    . The integrability of functions of interval functions, J 39 (1964) 589–97 MR 29 #5975.MathSciNetzbMATHGoogle Scholar
  22. 22.
    . Majorants in variational integration, C 18 (1966) 49–74, MR 32 #2545.MathSciNetzbMATHGoogle Scholar
  23. 23.
    . A Riemann-type integral of Lebesgue power, C 20 (1968) 79–87, MR 36 #2754.MathSciNetzbMATHGoogle Scholar
  24. 24.
    . Linear Analysis, (Butterworths, London, 1968), MR 54 #7725.zbMATHGoogle Scholar
  25. 25.
    . Generalized integrals of vector-valued functions, P (3) 19 (1969) 509–36, MR 40 #4420.MathSciNetzbMATHGoogle Scholar
  26. 26.
    . Integration by parts, Aequationes Math. 9 (1973) 1–18, MR 47 #3608.MathSciNetCrossRefzbMATHGoogle Scholar
  27. 27.
    . (with S. Foglio) The N-variational integral and the Schwartz distributions III, J (2) 6 (1973) 693–700, MR 48 # 2755.MathSciNetzbMATHGoogle Scholar
  28. 28.
    . Integration in product spaces, including Wiener and Feynman integration, P (3) 27 (1973) 317–44, MR 49 #9145.MathSciNetzbMATHGoogle Scholar
  29. 29.
    . Additivity and the Lebesgue limit theorems, The Greek Mathematical Society C. Caratheodory Symposium Sept. 3–7, 1973, pp. 223–41 (published 1974), MR 57 #6355.MathSciNetGoogle Scholar
  30. 30.
    . Integration, variation and differentiation in division spaces, I 78 (1978) No. 10 69–85, MR 80d: 26011.MathSciNetzbMATHGoogle Scholar
  31. 31.
    . The variation on the real line, I 79 (1979) No. 1, 1–10, MR 81d: 26005.MathSciNetzbMATHGoogle Scholar
  32. 32.
    . Generalized Riemann integration and an intrinsic topology, C 32 (1980), 395–413, MR 82b: 26010.MathSciNetzbMATHGoogle Scholar
  33. 33.
    . Division spaces, vector-valued functions and backwards martingales, I 80 (1980), No. 2, 217–232, MR 82i: 60091.MathSciNetzbMATHGoogle Scholar
  34. 34.
    . Density integration and Walsh functions, Bulletin Malaysian Math. Soc. (2) 5 (1982) 1–19.MathSciNetzbMATHGoogle Scholar
  35. 35.
    . A problem in two-dimensional integration, Journal Australian Math. Soc. (series A) 35 (1983) 386–404, MR84k: 26010.MathSciNetCrossRefzbMATHGoogle Scholar
  36. 36.
    . The Lebesgue syndrome, Real Analysis Exchange 9 No. 1 (1983–84) 96–110.zbMATHGoogle Scholar
  37. 37.
    . The reversal of power and integration, Bulletin Institute of Math. and App. 22 (3–4) (1986) 60–61.zbMATHGoogle Scholar
  38. 38.
    Lectures on the theory of integration, World Scientific, Singapore, 1988.Google Scholar
  39. 39.
    A short history of integration theory, Southeast Asian Bulletin of Math. 12, No.2 (1988).Google Scholar
  40. 40.
    General theory of integration, (Oxford University Press — in preparation).Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Pat Muldowney

There are no affiliations available

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