Search ETDs:
Archimedean Derivatives and Rankin-Selberg integrals
Chai, Jingsong

2012, Doctor of Philosophy, Ohio State University, Mathematics.
In this dissertation, we first define two notions: derivatives of smooth admissible representations of moderate growth on general linear groups over real numbers and exceptional poles. Then we study their basic properties and relate them to the archimedean Rankin-Selberg integrals. This is part of an ongoing project to develop the archimedean theory analogous to p-adic case developed by Cogdell and I.I. Piatetski-Shapiro.
James Cogdell (Advisor)
Wenzhi Luo (Committee Member)
Robert Stanton (Committee Member)
75 p.

Recommended Citations

Hide/Show APA Citation

Chai, J. (2012). Archimedean Derivatives and Rankin-Selberg integrals. (Electronic Thesis or Dissertation). Retrieved from https://etd.ohiolink.edu/

Hide/Show MLA Citation

Chai, Jingsong. "Archimedean Derivatives and Rankin-Selberg integrals." Electronic Thesis or Dissertation. Ohio State University, 2012. OhioLINK Electronic Theses and Dissertations Center. 25 Sep 2017.

Hide/Show Chicago Citation

Chai, Jingsong "Archimedean Derivatives and Rankin-Selberg integrals." Electronic Thesis or Dissertation. Ohio State University, 2012. https://etd.ohiolink.edu/

Files

osu1338258794.pdf (359.19 KB) View|Download