Abstract
Drozzinov and Zavjalov [2] gave the idea of quasi-asymptotic behaviour (q.a.b.) and quasi-asymptotic expansions (q.a.e.) of generalized functions and established tauberian theorems for Fourier-Laplace transforms of generalized functions in the complex domain. In the present work Pseudo-asymptotic expansion (p.a.e.) of generalized functions is defined as an improvement over its quasi-asymptotic expansion (q.a.e.) providing an error term in q.a.e.
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References
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Ju.N. Drozzinov and B.I. Zov’jalov, The quasi-asymptotics of generalized functions and Tauberian theorems in the complex domain, Math. USSR Sbornik, 31 (3) : 329–345(1977).
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© 1993 Springer Science+Business Media New York
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Pathak, R.S. (1993). Pseudo-Asymptotic Expansion of Generalized Functions. In: Pathak, R.S. (eds) Generalized Functions and Their Applications. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1591-7_17
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DOI: https://doi.org/10.1007/978-1-4899-1591-7_17
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-1593-1
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