Skip to main content

10 Result(s)

within English Remove this filter Mathematics Remove this filter Topological Groups, Lie Groups Remove this filter **an-Wei Li Remove this filter

and

  1. No Access

    Book

    Zeta Integrals, Schwartz Spaces and Local Functional Equations

    Prof. Wen-Wei Li in Lecture Notes in Mathematics (2018)

  2. No Access

    Chapter

    The Doubling Method

    In order to reconcile our framework with that of Braverman and Kazhdan (Mosc Math J 2:533–553, 2002), two Conjectures 7.1.5 and 7.3.4 will be postulated.

    Wen-Wei Li in Zeta Integrals, Schwartz Spaces and Local Functional Equations (2018)

  3. No Access

    Chapter

    Convergence of Some Zeta Integrals

    We will need Hypothesis 5.2.2 on the existence of eigenmeasures. This is always met in practice.

    Wen-Wei Li in Zeta Integrals, Schwartz Spaces and Local Functional Equations (2018)

  4. No Access

    Chapter

    Introduction

    Zeta integrals are indispensable tools for studying automorphic representations and their L-functions. In broad terms, it involves integrating automorphic forms (global case) or “coefficients” of representations ...

    Wen-Wei Li in Zeta Integrals, Schwartz Spaces and Local Functional Equations (2018)

  5. No Access

    Chapter

    Geometric Background

    The main purpose of this section is to fix notation. We refer to Knop (The Luna-Vust theory of spherical embeddings. In: Proceedings of the Hyderabad conference on algebraic groups, Hyderabad, 1989, pp 225–249...

    Wen-Wei Li in Zeta Integrals, Schwartz Spaces and Local Functional Equations (2018)

  6. No Access

    Chapter

    Speculation on the Global Integrals

    The constructions of basic vectors (also known as “basic functions”) and 𝜗-distributions stem from Sakellaridis (Algebra Number Theory 6:611–667, 2012, §3), to which we refer for further examples.

    Wen-Wei Li in Zeta Integrals, Schwartz Spaces and Local Functional Equations (2018)

  7. No Access

    Chapter

    Analytic Background

    Let F be a local field of characteristic zero and G be an affine F-group. Consider a smooth G-variety Y over F, so that Y (F) becomes an F-analytic manifold with right G(F)-action. The constructions below can be ...

    Wen-Wei Li in Zeta Integrals, Schwartz Spaces and Local Functional Equations (2018)

  8. No Access

    Chapter

    Schwartz Spaces and Zeta Integrals

    Throughout this chapter, we fix

  9. a local field F of characteristic zero,

  10. a split connected reductive F-group G,

    ...

    11. Wen-Wei Li in Zeta Integrals, Schwartz Spaces and Local Functional Equations (2018)

  11. No Access

    Chapter

    Prehomogeneous Vector Spaces

    Unless otherwise specified, F will denote a local field of characteristic zero. We also fix a nontrivial continuous unitary character ...

    Wen-Wei Li in Zeta Integrals, Schwartz Spaces and Local Functional Equations (2018)

  12. No Access

    Chapter

    Towards Generalized Prehomogeneous Zeta Integrals

    Let X be a prehomogeneous vector space under a connected reductive group G over ℝ ...

    Wen-Wei Li in Relative Aspects in Representation Theory,… (2018)