Timeline for Can we calculate the inner product of a semicontinous function with the Dirac delta function?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 24, 2012 at 14:06 | comment | added | Anand | Dear Professor Liviu Nicolaescu, thanks a lot for your references. I am now clear. :-) | |
| Aug 24, 2012 at 13:57 | vote | accept | Anand | ||
| Aug 24, 2012 at 12:44 | comment | added | Liviu Nicolaescu | Anad, now I understand your motivation. The convolution of two distributions is well defined provided that their supports satisfy a certain, easy to verify condition. (This condition is satisfied in your case.) A good place to learn about this is Chap. 11 of the new book Distributions. Theory and Applications by J.J. Duistermaat and J.A.A.C Kolk, Birkauser, 2010, written for advanced undergraduates. Sec. 13.2 of the same book discusses in great detail the wave equation. If you can read French, then have a look at L. Schwartz' Theorie des Distributions. It's a masterpiece. | |
| Aug 24, 2012 at 11:02 | comment | added | Anand | Dear Professor Liviu Nicolaescu, thank you very much for your answer. I will add another motivation in my post. My motivation is not so abstract as what you are thinking. Thanks a lot! :-) | |
| Aug 24, 2012 at 10:31 | history | answered | Liviu Nicolaescu | CC BY-SA 3.0 |