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An operator valued function space integral applied to multiple integrals of functions of class L1

Published online by Cambridge University Press:  22 January 2016

R. H. Cameron  and
D. A. Storvick
R. H. Cameron
Affiliation:
University of Minnesota
D. A. Storvick
Affiliation:
University of Minnesota
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In a recent paper [2], an operator valued function space integral was defined by the authors as follows.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 51 , September 1973 , pp. 91 - 122
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1973

References

[1] Boas, R. P., Entire functions, Academic Press, N.Y., 1954.Google Scholar
[2] Cameron, R. H. and Storvick, D. A., An operator valued function space integral and a related integral equation, J. Math. Mech., 18 (1968), 517–552.Google Scholar
[3] Cameron, R. H. and Storvick, D. A., An integral equation related to the Schroedinger equation with an application to integration in function space, Problems in Analysis, Princeton, 1970.Google Scholar
[4] Cameron, R. H. and Storvick, D. A., An operator valued function space integral applied to integrals of functions of Class L 2 , To appear in J. Math. Anal. Appl.Google Scholar
[5] Cameron, R. H. and Storvick, D. A., An operator valued function space integral applied to integrals of functions of Class L 1 , To appear in Proc. London Math. Soc.Google Scholar
[6] Cuthill, E. H., Integrals on Spaces of Functions which are Real and Continuous on Finite and Infinite Intervals, Thesis, University of Minnesota, 1951.Google Scholar
[7] Fuks, B. A., Analytic Functions of Several Complex Variables, Amer. Math. Soc. Translations of Mathematical Monographs, 8 (1963).Google Scholar
[8] Hille, E. and Phillips, R. S., Functional Analysis and Semigroups, Amer. Math. Soc. Colloq. Publ., 31, 1957.Google Scholar
[9] Whittaker, E. T. and Watson, G. N., Modern Analysis, Cambridge, 1952.Google Scholar