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Archimedean Derivatives and Rankin-Selberg integrals

Chai, Jingsong

Abstract Details

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.

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Citations

  • Chai, J. (2012). Archimedean Derivatives and Rankin-Selberg integrals [Doctoral dissertation, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1338258794

    APA Style (7th edition)

  • Chai, Jingsong. Archimedean Derivatives and Rankin-Selberg integrals. 2012. Ohio State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1338258794.

    MLA Style (8th edition)

  • Chai, Jingsong. "Archimedean Derivatives and Rankin-Selberg integrals." Doctoral dissertation, Ohio State University, 2012. http://rave.ohiolink.edu/etdc/view?acc_num=osu1338258794

    Chicago Manual of Style (17th edition)