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

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Author(s): Pat Muldowney (auth.), Peter S. Bullen, Peng Yee Lee, Jean L. Mawhin, Patrick Muldowney, Washek F. Pfeffer (eds.)
Series: Lecture Notes in Mathematics 1419
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1990

Language: English
Pages: 208
City: Berlin
Tags: Real Functions

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