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Series of Dirac Delta Functions

In: Asymptotic Analysis

Author

Listed:
  • Ricardo Estrada

    (Universidad de Costa Rica, Escuela de Matemática)

  • Ram P. Kanwal

    (The Pennsylvania State University, Department of Mathematics)

Abstract

In this chapter we discuss several properties of series of Dirac delta functions [31] of the type 6.1.1 $$\sum^{\infty}_{n=0}{a_{n}\delta^{(n)}}{x}$$ 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.

Suggested Citation

  • Ricardo Estrada & Ram P. Kanwal, 1994. "Series of Dirac Delta Functions," Springer Books, in: Asymptotic Analysis, chapter 0, pages 233-245, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4684-0029-8_6
    DOI: 10.1007/978-1-4684-0029-8_6
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