Timeline for $L^p$ norm means
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 7, 2023 at 17:25 | comment | added | Will Jagy | I think you are right. My old notes seem not entirely careful between some expressions where I did integrate something and the simpler volume expression. Anyway, the best early expression is Whittaker and Watson, first edition. | |
| Dec 7, 2023 at 17:20 | history | edited | Will Jagy | CC BY-SA 4.0 |
added 18 characters in body
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| Dec 7, 2023 at 16:25 | comment | added | Venkata Karthik Bandaru | By any chance is a factor ${ \frac{1}{pqr} }$ missing in the final expression ? From the density in theorem 3.3 of draft here, in the ${ p = q = r \in [1, \infty) }$ case the integral evaluates to ${ \frac{1}{p ^3} \frac{\Gamma(a/p) \Gamma(b/p) \Gamma(c/p)}{\Gamma(1 + a/p + b/p + c/p)} }.$ | |
| Sep 9, 2014 at 1:53 | comment | added | Igor Rivin | Very cool (though not obviously useful here, since the norms are not polynomials [this does, of course, give the answer for $\|x\|_q^q.$, which comes out quite nicely] | |
| Sep 9, 2014 at 1:34 | history | answered | Will Jagy | CC BY-SA 3.0 |