Browsing Mathematics by Subject "math.RT"

Now showing items 1-4 of 4

    • Fourier multipliers for Triebel-Lizorkin spaces on compact Lie groups 

      Cardona, D; Ruzhansky, M (Springer (part of Springer Nature), 2021)
      We investigate the boundedness of Fourier multipliers on a compact Lie group when acting on Triebel-Lizorkin spaces. Criteria are given in terms of the H\"ormander-Mihlin-Marcinkiewicz condition. In our analysis, we use ...

    • Hybrid sup-norm bounds for Maass newforms of powerful level 

      Saha, A (Mathematical Sciences Publishers, 2017-07-12)
      Let $f$ be an $L^2$-normalized Hecke--Maass cuspidal newform of level $N$, character $\chi$ and Laplace eigenvalue $\lambda$. Let $N_1$ denote the smallest integer such that $N|N_1^2$ and $N_0$ denote the largest integer ...

    • The Manin constant and the modular degree 

      Cesnavicius, K; Neururer, M; Saha, A
      The Manin constant $c$ of an elliptic curve $E$ over $\mathbb{Q}$ is the nonzero integer that scales the pullback of a N\'{e}ron differential under a minimal parametrization $\phi\colon X_0(N)_{\mathbb{Q}} \twoheadrightarrow ...

    • Sup-norms of eigenfunctions in the level aspect for compact arithmetic surfaces 

      Saha, A (Springer (part of Springer Nature), 2019-11-01)
      Let $D$ be an indefinite quaternion division algebra over $\mathbb{Q}$. We approach the problem of bounding the sup-norms of automorphic forms $\phi$ on $D^\times(\mathbb{A})$ that belong to irreducible automorphic ...