Resonance counting and spectral gaps for hyperbolic surfaces via Fourier decay GG14QF0JKJ

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Main Theorem	statement	theorem 1.2	arxiv
Separation	statement	lemma 2.11	arxiv
Localized Bourgain--Dyatlov estimate	statement	lemma 3.6	arxiv
Partition estimates	statement	lemma 2.5	arxiv
A0FSE1SSDJ	statement	corollary 3.7	arxiv
A88DYFZ1YY	statement	lemma 2.15	arxiv
Bounded transitions	statement	lemma 2.12	arxiv
E1RE2FHR4E	statement	lemma 2.16	arxiv
Bounded distortion	statement	lemma 2.3	arxiv
EV428ZZQS7	statement	proposition 3.1	arxiv
GBREZ4XPD7	statement	lemma 2.2	arxiv
Structure of $\Lambda(h)$	statement	lemma 2.6	arxiv
Derivative bounds	statement	lemma 2.4	arxiv
KHCJ098TBN	statement	theorem 1.1	arxiv
Integral bound	statement	proposition 3.5	arxiv
Contraction in $\Omega(h)$	statement	lemma 2.7	arxiv
Remez-type inequality	statement	lemma 3.4	arxiv
Ruelle--Perron--Frobenius	statement	proposition 2.1	arxiv
TRJ0ED7Y1Q	statement	lemma 2.8	arxiv
Holomorphic approximation of order $N$	statement	proposition 3.2	arxiv
VAKDKADZG0	statement	lemma 2.9	arxiv
Phase derivative bound	statement	proposition 2.13	arxiv
Y8AF3KAHT5	statement	lemma 3.8	arxiv
Y8QYH0N2SB	statement	lemma 3.3	arxiv
Properties of the Bergman kernel	statement	lemma 2.14	arxiv