Lecture Notes in Mathematics

Proceedings of the Henstock Conference held in Coleraine, Northern Ireland, August 9-12, 1988

By: Peter S. Bullen (Editor), Peng Yee Lee (Editor), Jean L. Mawhin (Editor)

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Paperback | 21 February 1990

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216 Pages

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About Ralph Henstock.- to the new integrals.- Some applications of a theorem of Marcinkiewicz.- The superposition operators in the space of Henstock-Kurzweil integrable functions.- New and old results concerning Henstock's integrals.- Double integrals and convergence of double series.- Integration in infinite-dimensional spaces.- The PU-integral: its definition and some basic properties.- 1-differentials on 1-cells: a further study.- Generalized convergence theorems for Denjoy-Perron integrals.- On some aspects of open multifunctions.- Infinite-dimensional generalised Riemann integrals.- The space of Henstock integrable functions II.- Divergence theorem for vector fields with singularities.- Some properties of dyadic primitives.- Analysis of P. Malliavin's proof of non spectralsyn thesis.- Papers of G. Cross, Y. Kubota, J.L. Mawhin, M. Morayne, W.F. Pfeffer and W.-C. Yang, and C.A. Rogers.- Problems.

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