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A division algebra for sequences defined on all the integers


Author: D. H. Moore
Journal: Math. Comp. 20 (1966), 311-317
MSC: Primary 44.40
DOI: https://doi.org/10.1090/S0025-5718-1966-0196433-X
MathSciNet review: 0196433
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  • [1] Louis Brand, "A division algebra for sequences and its associated operational calculus," Amer. Math. Monthly, v. 71, 1964, pp. 719-728. MR 29 #5069. MR 0167802 (29:5069)
  • [2] D. H. Moore, "Convolution products and quotients of sequences. An operational calculus for sequences and for pulsed-data and digital systems," Dissertation, Univ. of Calif., Los Angeles, 1962.
  • [3] D. H. Moore, "Convolution products and quotients and algebraic derivatives of sequences," Amer. Math. Monthly, v. 69, 1962, pp. 132-138. MR 25 #402. MR 0136942 (25:402)
  • [4] George Boole, Calculus of Finite Differences, 4th ed., Chelsea, New York, 1957. MR 20 #1124. MR 0115025 (22:5830a)
  • [5] John Aseltine, Transform Method in Linear System Analysis, McGraw-Hill Electrical and Electronics Engineering Series, McGraw-Hill, New York, 1958. MR 21 #6201. MR 0107476 (21:6201)
  • [6] J. F. Traub, "Generalized sequences with applications to the discrete calculus," Math. of Comp., v. 19, 1965, pp. 177-200. MR 0179489 (31:3737)
  • [7] J. Mikusiński, Operational Calculus, International Series of Monographs on Pure and Applied Mathematics, Vol. 8, Pergamon Press, New York, and Państwowe Wydawnictwo Naukowe, Warsaw, 1959. MR 21 #4333. MR 0105594 (21:4333)

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DOI: https://doi.org/10.1090/S0025-5718-1966-0196433-X
Article copyright: © Copyright 1966 American Mathematical Society

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