Abstract
The theme of the conference entitled ‘Generalized Functions Convergence, Structures and their Applications’ is based on the vital mathematical theory of Functional Analysis envolved in present century, hailed by Browder (1972) as the century of functional analysis. The opinion of some mathematicians about functional analysis as a purely mathematical abstraction is true to some extent. In response to this question, Dieudonne (1972) has referred to the applications of the theory of distributions created by the French mathematician Laurent Schwartz since his theory is based on functional analysis, but further work is necessary, keeping in mind the historical perspective pointed out by Dieudonne.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
F. E. Browder, Hist. Math. 2, 575–590, (1975).
J. Dieudonne, Hist. Math. 2, 537–548, (1975).
H. G. Garnir, Personal discussion, (1971).
J. Lavoine and O.P. Misra, C. R. Ac. Sc. Paris, (1974).
J. Lavoine and O.P. Misra, Math. Proc. Cambridge Phil. Soc., 86 287–293, (1979).
J. Lavoine and O.P. Misra, C. R. Ac. Sc. Paris, 290, 139–142, (1980).
S. Łojasiewicz, Studia Maths., 16, 1–36, (1957).
O. P. Misra, J. Math. Anal. Appls., 39, 590–599, (1972).
O. P. Misra, Simon Stevin, 60, 269–275, (1986).
O. P. Misra and J. Lavoine, “Transform Analysis of Generalized Functions”, North-Holland, (1986).
L. Schwartz, “Theorie des distributions”, Hermann, Paris, (1966)
G. Temple, Proc. Royal Soc. London, 276, 149–177, (1963).
A. H. Zemaninan, SIAM, 13, 463–468, (1965).
A. H. Zemanian, “Generalized Integral Transformations”, John Wiley, New York, (1967).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Plenum Press, New York
About this chapter
Cite this chapter
Misra, O.P. (1988). Some Important Results of Distribution Theory. In: Stanković, B., Pap, E., Pilipović, S., Vladimirov, V.S. (eds) Generalized Functions, Convergence Structures, and Their Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1055-6_25
Download citation
DOI: https://doi.org/10.1007/978-1-4613-1055-6_25
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8312-6
Online ISBN: 978-1-4613-1055-6
eBook Packages: Springer Book Archive