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New Integrals

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

  • Conference proceedings
  • © 1990

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Editors:
  1. Peter S. Bullen
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  2. Peng Yee Lee
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  3. Jean L. Mawhin
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  4. Patrick Muldowney
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  5. Washek F. Pfeffer
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1419)

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Table of contents (18 papers)

  1. Front Matter

    Pages I-IV
    Download chapter PDF

  2. About Ralph Henstock

    • Pat Muldowney
    Pages 1-6

  3. Introduction to the new integrals

    • Ralph Henstock
    Pages 7-9

  4. Some applications of a theorem of Marcinkiewicz

    • P. S. Bullen
    Pages 10-18

  5. The superposition operators in the space of Henstock-Kurzweil integrable functions

    • Chew Tuan Seng
    Pages 19-24

  6. New and old results concerning Henstock's integrals

    • Susana Fernandez Long de Foglio
    Pages 25-37

  7. Double integrals and convergence of double series

    • Cecile Pierson-Gorez
    Pages 38-53

  8. Integration in infinite-dimensional spaces

    • Ralph Henstock
    Pages 54-65

  9. The PU-integral: its definition and some basic properties

    • Jaroslav Kurzweil, Jiří Jarník
    Pages 66-81

  10. 1-differentials on 1-cells: a further study

    • Solomon Leader
    Pages 82-96

  11. Generalized convergence theorems for Denjoy-Perron integrals

    • Lee Peng Yee
    Pages 97-109

  12. On some aspects of open multifunctions

    • P. Maritz
    Pages 110-130

  13. Infinite-dimensional generalised Riemann integrals

    • P. Muldowney
    Pages 131-135

  14. The space of Henstock integrable functions II

    • Piotr MikusiÅ„ski, Krzysztof Ostaszewski
    Pages 136-149

  15. Divergence theorem for vector fields with singularities

    • Washek F. Pfeffer
    Pages 150-166

  16. Some properties of dyadic primitives

    • V. A. Skvortsov
    Pages 167-179

  17. Analysis of P. Malliavin's proof of non spectral synthesis

    • J. D. Stegeman
    Pages 180-200

  18. Papers of G. Cross, Y. Kubota, J.L. Mawhin, M. Morayne, W.F. Pfeffer and W.-C. Yang, and C.A. Rogers

    • Peter S. Bullen, Peng Yee Lee, Jean L. Mawhin, Patrick Muldowney, Washek F. Pfeffer
    Pages 201-201

  19. Problems

    • Peter S. Bullen, Peng Yee Lee, Jean L. Mawhin, Patrick Muldowney, Washek F. Pfeffer
    Pages 202-202

  20. Back Matter

    Pages 203-206
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Keywords

Bibliographic Information

  • Book Title: New Integrals

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

  • Editors: Peter S. Bullen, Peng Yee Lee, Jean L. Mawhin, Patrick Muldowney, Washek F. Pfeffer

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0083092

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-3-540-52322-2Published: 21 February 1990

  • eBook ISBN: 978-3-540-46955-1Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: CCXVI, 208

  • Topics: Real Functions

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