Timeline for History of spectral methods to the study of real analytic $GL_2$-Eisenstein series
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Oct 10, 2015 at 2:02 | vote | accept | Hugo Chapdelaine | ||
| Oct 10, 2015 at 0:12 | history | edited | paul garrett | CC BY-SA 3.0 |
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| Oct 9, 2015 at 23:35 | history | edited | paul garrett | CC BY-SA 3.0 |
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| Oct 9, 2015 at 23:34 | comment | added | paul garrett | ... oop, and, yes, after writing more, I would certainly want to acknowledge that much "physics-y thinking" went into the Lax-Phillips viewpoint, and certainly into Colin de Verdiere's, as well! I have long been a fan of aggressive heuristics coming from physical considerations. I don't pretend to appreciate E. Witten's more contemporary contributions, but Heaviside's and even more Dirac's are quite striking to me. And "solvable models". Such stuff is very inspiring, even if/when it does not come with proofs! :) | |
| Oct 9, 2015 at 23:29 | history | edited | paul garrett | CC BY-SA 3.0 |
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| Oct 9, 2015 at 22:50 | comment | added | Hugo Chapdelaine | I have in mind the book of Lax and Philips who applied scattering theory to the study of automorphic forms. In that book I saw for the first time a truncated version of the hyperbolic Laplacian which has a compact resolvent. Then from a key observation of Colin de Verdiere, one may apply the Fredholm analyticity theorem to obtain the analytic continuation and the functional equation. In any case, thanks again for your answer. | |
| Oct 9, 2015 at 22:50 | comment | added | Hugo Chapdelaine | Dear Paul, thanks for portrait that you have brushed. Regarding your comment about Kubota's book I get your point but my feeling is that his book was probably the first comprehensive and accessible reference on $GL_2$-real analytic Eisenstein series for non-experts. Also in the nice portait that you just depicted, one should also probably mention the substantial contributions which came from physics and functional analysis. | |
| Oct 9, 2015 at 21:43 | history | answered | paul garrett | CC BY-SA 3.0 |