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About Ralph Henstock

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New Integrals

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1419))

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List of publications of R. Henstock

  1. . On interval functions and their integrals, J 21 (1946) 204–09, MR 8, 572.

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  2. . The efficiency of matrices for Taylor series, J 22 (1947) 104–07, MR 9, 278.

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  3. . On interval functions and their integrals (II), J 23 (1948) 118–28, MR 10, 239.

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  4. . The efficiency of matrices for bounded sequences, J 25 (1950) 27–33, MR 11, 429.

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  5. . Sets of uniqueness for trigonometric series and integrals, Proceedings Cambridge Philosophical Society, 46 (1950) 538–48, MR 12, 496.

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  6. . Density integration, P (2) 53 (1951) 192–211, MR 13, 20.

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  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.

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  8. . Linear functions with domain a real countably infinite dimensional space, P (3) 5 (1955) 238–56, MR 17, 176.

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  9. . The efficiency of convergence factors for functions of a continuous real variable, J 30 (1955) 273–86, MR 17, 359.

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  10. . Linear and bilinear functions with domain contained in a real countably infinite dimensional space, P (3) 6 (1956) 481–500, MR 18, 584.

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  11. . On Ward's Perron-Stieltjes integral, C 9 (1957) 96–109, MR 18, 880.

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  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.

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  13. . A new descriptive definition of the Ward integral, J 35 (1960) 43–48, MR 22 #1648.

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  14. . The use of convergence factors in Ward integration, P (3) 10 (1960) 107–21, MR 22 #12197.

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  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.

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  16. . N-variation and N-variational integrals of set functions, P (3) 11 (1961) 109–33, MR 23 #A995.

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  17. . Definitions of Riemann type of the variational integrals, P (3) 11 (1961) 402–18, MR 24 #A1994.

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  18. . Difference-sets and the Banach-Steinhaus theorem, P (3) 13 (1963) 305–21, MR 26 #6776.

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  19. . Tauberian theorems for integrals, C 15 (1963) 433–39, MR 28 #2187.

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  20. . Theory of integration, (Butterworths, London, 1963), MR 28 #1274.

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  21. . The integrability of functions of interval functions, J 39 (1964) 589–97 MR 29 #5975.

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  22. . Majorants in variational integration, C 18 (1966) 49–74, MR 32 #2545.

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  23. . A Riemann-type integral of Lebesgue power, C 20 (1968) 79–87, MR 36 #2754.

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  24. . Linear Analysis, (Butterworths, London, 1968), MR 54 #7725.

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  25. . Generalized integrals of vector-valued functions, P (3) 19 (1969) 509–36, MR 40 #4420.

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  26. . Integration by parts, Aequationes Math. 9 (1973) 1–18, MR 47 #3608.

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  27. . (with S. Foglio) The N-variational integral and the Schwartz distributions III, J (2) 6 (1973) 693–700, MR 48 # 2755.

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  28. . Integration in product spaces, including Wiener and Feynman integration, P (3) 27 (1973) 317–44, MR 49 #9145.

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  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.

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  30. . Integration, variation and differentiation in division spaces, I 78 (1978) No. 10 69–85, MR 80d: 26011.

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  31. . The variation on the real line, I 79 (1979) No. 1, 1–10, MR 81d: 26005.

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  32. . Generalized Riemann integration and an intrinsic topology, C 32 (1980), 395–413, MR 82b: 26010.

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  33. . Division spaces, vector-valued functions and backwards martingales, I 80 (1980), No. 2, 217–232, MR 82i: 60091.

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  34. . Density integration and Walsh functions, Bulletin Malaysian Math. Soc. (2) 5 (1982) 1–19.

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  35. . A problem in two-dimensional integration, Journal Australian Math. Soc. (series A) 35 (1983) 386–404, MR84k: 26010.

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  36. . The Lebesgue syndrome, Real Analysis Exchange 9 No. 1 (1983–84) 96–110.

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  37. . The reversal of power and integration, Bulletin Institute of Math. and App. 22 (3–4) (1986) 60–61.

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  38. Lectures on the theory of integration, World Scientific, Singapore, 1988.

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  39. A short history of integration theory, Southeast Asian Bulletin of Math. 12, No.2 (1988).

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  40. General theory of integration, (Oxford University Press — in preparation).

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Authors
  1. Pat Muldowney
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Peter S. Bullen Peng Yee Lee Jean L. Mawhin Patrick Muldowney Washek F. Pfeffer

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© 1990 Springer-Verlag

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Muldowney, P. (1990). About Ralph Henstock. In: Bullen, P.S., Lee, P.Y., Mawhin, J.L., Muldowney, P., Pfeffer, W.F. (eds) New Integrals. Lecture Notes in Mathematics, vol 1419. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0083093

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  • DOI: https://doi.org/10.1007/BFb0083093

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52322-2

  • Online ISBN: 978-3-540-46955-1

  • eBook Packages: Springer Book Archive

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