Hongyu L. He

activity

20022024

most citedWave Front Sets of Reductive Lie Group Representations

14 citations · 42 across the 23 of their papers we have counts for

collaborators

24 papers

math.RT2024

Projection of Elliptic Orbits and Branching Laws

Hongyu He

Let $G$ be a Lie group, and $H \subset G$ a closed subgroup. Let $π$ be an irreducible unitary representation of $G$ . In this paper, we briefly discuss the orbit method and its appl…

math.NT2021

A Thin Fundamental Set for SL(2, Z)

Hongyu He

Let $Γ = S L (2, Z)$ and $G = S L (2, R)$ . Let $g = k an$ be the Iwasawa decomposition. Let $ε$ be a small positive number. In this paper, we construct a fundamental set $\mat…

math.RT2020

On the growth of Rankin-Selberg L-functions for $S L (2)$

Hongyu He

In this paper, we establish bounds of the Rankin-Selberg $L$ -function for $S L (2)$ using the supnorm of the Eisenstein series and a purely representation theoretic index over the re…

math.RT2020

Certain L2-norms on automorphic representations of SL(2)

Hongyu He

Let $Γ$ be a non-uniform lattice in $S L (2, R)$ . In this paper, we study various $L^{2}$ -norms of automorphic representations of $S L (2, R)$ . We bound these norms with…

math.RT2020

Certain L^2-norm and Asymptotic bounds of Whittaker Function for GL(n)

Hongyu He

Whittaker functions of $G L (n, R)$ , are most known for its role in the Fourier-Whittaker expansion of cusp forms. Their behavior in the Siegel set, in large, is well-unders…

math.RT2020

Representation of ax+b group and Dirichlet Series

Hongyu He

Let $G$ be the $a x + b$ group. There are essentially two irreducible infinite dimensional unitary representations of $G$ , $(μ, L^{2} (R^{+}))$ and $(μ^{*}, L^{2} (R^{+}))$ . In th…

Projection of Elliptic Orbits and Branching Laws

A Thin Fundamental Set for SL(2, Z)

On the growth of Rankin-Selberg L-functions for SL(2)

Certain L2-norms on automorphic representations of SL(2)

Certain L^2-norm and Asymptotic bounds of Whittaker Function for GL(n)

Representation of ax+b group and Dirichlet Series

On the growth of Rankin-Selberg L-functions for $S L (2)$