New Integrals: Proceedings of the Henstock Conference held in Coleraine, Northern Ireland, August 9–12, 1988

Pat Muldowney (auth.), Peter S. Bullen, Peng Yee Lee, Jean L. Mawhin, Patrick Muldowney, Washek F. Pfeffer (eds.)3540523227, 9783540523222, 0387523227

Table of contents :
About Ralph Henstock….Pages 1-6
Introduction to the new integrals….Pages 7-9
Some applications of a theorem of Marcinkiewicz….Pages 10-18
The superposition operators in the space of Henstock-Kurzweil integrable functions….Pages 19-24
New and old results concerning Henstock’s integrals….Pages 25-37
Double integrals and convergence of double series….Pages 38-53
Integration in infinite-dimensional spaces….Pages 54-65
The PU-integral: its definition and some basic properties….Pages 66-81
1-differentials on 1-cells: a further study….Pages 82-96
Generalized convergence theorems for Denjoy-Perron integrals….Pages 97-109
On some aspects of open multifunctions….Pages 110-130
Infinite-dimensional generalised Riemann integrals….Pages 131-135
The space of Henstock integrable functions II….Pages 136-149
Divergence theorem for vector fields with singularities….Pages 150-166
Some properties of dyadic primitives….Pages 167-179
Analysis of P. Malliavin’s proof of non spectralsyn thesis….Pages 180-200
Papers of G. Cross, Y. Kubota, J.L. Mawhin, M. Morayne, W.F. Pfeffer and W.-C. Yang, and C.A. Rogers….Pages 201-201
Problems….Pages 202-202