New integrals : proceedings of the Henstock Conference held in Coleraine, Northern Ireland, August 9-12, 1988

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New integrals : proceedings of the Henstock Conference held in Coleraine, Northern Ireland, August 9-12, 1988

P.S. Bullen ... [et al.] (eds.)

（Lecture notes in mathematics, 1419）

Springer-Verlag, c1990

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Note

Editors: P.S. Bullen, P.Y. Lee, J.L. Mawhin, P. Muldowney, W.F. Pfeffer

"Twelfth Summer Symposium in Real Analysis, ... was held at the Coleraine campus of the University of Ulster"--Pref

Includes bibliographical references

Description and Table of Contents

Table of Contents

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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