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