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Partial Differential Equations: Basic Theory by Michael E. Taylor B01_0344

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"This is the International Edition. The content is in English, same as US version but different cover. Please DO NOT buy if you can not accept this difference. Ship from Shanghai China, please allow about 3 weeks on the way to US or Europe. Message me if you have any questions."

Paperback

First published June 25, 1996

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Michael E. Taylor

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January 4, 2024
Chapter 1, Section 4. The function phi(x)=1/z is holomorphic on the complex plane except at origin.
It is integrable near 0 and bounded outside a neighboorhood of 0, and hence it defines a tempered distribution. Aditionally, partial_{z barra}phi(z) a a tempered distbution with support at 0.

Proposition 4.8. partial_{z barra} (1/z)=pi delta
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