Timeline for Analytic continuation of $\int_V (f(x_1,\cdots,x_n))^s dx_i$
Current License: CC BY-SA 4.0
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| Oct 16 at 18:34 | comment | added | pisco | @DmitriiKorshunov Thank you very much for the very useful reference. It seems analytic continuation can be indeed proved like this. | |
| Oct 16 at 18:32 | history | edited | pisco | CC BY-SA 4.0 |
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| Oct 16 at 13:40 | comment | added | Dmitrii Korshunov | doesn't it by any chance follow from the general theory (of Gelfand-Atiyah-Berstein-...) of the analytic continuation of complex powers? www-users.cse.umn.edu/~garrett/m/fun/bernstein.pdf Also, since your polynomial is nonzero in the domain, its complex power has perfect sense for all complex numbers. | |
| Oct 16 at 11:01 | history | edited | pisco | CC BY-SA 4.0 |
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| Oct 15 at 11:10 | history | edited | pisco |
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| Oct 15 at 10:44 | history | edited | pisco | CC BY-SA 4.0 |
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| Oct 15 at 10:34 | history | edited | pisco | CC BY-SA 4.0 |
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| Oct 15 at 10:28 | history | asked | pisco | CC BY-SA 4.0 |