The asymptotic expansion of certain multi-dimensional generalized functions. (English) Zbl 0764.41029
The paper applies regularization of divergent integrals in the derivation of the asymptotic expansion of certain multi-dimensional generalized functions. Several illustrations are presented to demonstrate that the asymptotic development of generalized functions provides a clear formulation of many concepts in asymptotic analysis, such as the expansion of oscillatory integrals and the expansion of certain series.
Reviewer: N.M.Temme (Amsterdam)
MSC:
| 41A60 | Asymptotic approximations, asymptotic expansions (steepest descent, etc.) |
| 41A63 | Multidimensional problems |
| 46F10 | Operations with distributions and generalized functions |
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