New Integrals

New Integrals Proceedings of the Henstock Conference held in Coleraine, Northern Ireland, August 9–12, 1988 / [electronic resource] : edited by Peter S. Bullen, Peng Yee Lee, Jean L. Mawhin, Patrick Muldowney, Washek F. Pfeffer. - CCXVI, 208 p. online resource. - Lecture Notes in Mathematics, 1419 0075-8434 ; . - Lecture Notes in Mathematics, 1419 .

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.

9783540469551

10.1007/BFb0083092 doi


Mathematics.
Real Functions.

QA331.5

515.8
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