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Titlebook: Asymptotic Analysis; A Distributional App Ricardo Estrada,Ram P. Kanwal Book 19941st edition Birkhäiser Boston 1994 Kernel.Moment.Power.Tay

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发表于 2025-3-21 18:23:47 | 显示全部楼层 |阅读模式
期刊全称Asymptotic Analysis
期刊简称A Distributional App
影响因子2023Ricardo Estrada,Ram P. Kanwal
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图书封面Titlebook: Asymptotic Analysis; A Distributional App Ricardo Estrada,Ram P. Kanwal Book 19941st edition Birkhäiser Boston 1994 Kernel.Moment.Power.Tay
影响因子Asymptotic analysis is an old subject that has found applications in vari­ ous fields of pure and applied mathematics, physics and engineering. For instance, asymptotic techniques are used to approximate very complicated integral expressions that result from transform analysis. Similarly, the so­ lutions of differential equations can often be computed with great accuracy by taking the sum of a few terms of the divergent series obtained by the asymptotic calculus. In view of the importance of these methods, many excellent books on this subject are available [19], [21], [27], [67], [90], [91], [102], [113]. An important feature of the theory of asymptotic expansions is that experience and intuition play an important part in it because particular problems are rather individual in nature. Our aim is to present a sys­ tematic and simplified approach to this theory by the use of distributions (generalized functions). The theory of distributions is another important area of applied mathematics, that has also found many applications in mathematics, physics and engineering. It is only recently, however, that the close ties between asymptotic analysis and the theory of distributions have bee
Pindex Book 19941st edition
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发表于 2025-3-21 22:57:09 | 显示全部楼层
Cleaning Data with Conditional Dependencies,The purpose of this chapter is to present the distributional theory of asymptotic expansions for functions of one variable. This chapter and the next, where the multidimensional expansions are studied, are the central part of the book.
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A Distributional Theory of Asymptotic Expansions,The purpose of this chapter is to present the distributional theory of asymptotic expansions for functions of one variable. This chapter and the next, where the multidimensional expansions are studied, are the central part of the book.
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The Asymptotic Expansion of Multi-Dimensional Generalized Functions,In this chapter we continue our study of the asymptotic development of distributions and the corresponding analysis of integrals with a large parameter. We presently consider the multi-dimensional situation.
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Series of Dirac Delta Functions,In this chapter we discuss several properties of series of Dirac delta functions [31] of the type . As we have seen in the previous chapters, not only do such series form the building blocks in the asymptotic expansion of distributions, but they also arise in other contexts.
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