\setlength{\parindent}{0pt} \setlength{\parskip}{1em} \newcommand\Tbb{\mathbb{T}} \newcommand\average{-\!\!\!\!\!\!\int} \newcommand\ft[1]{\widehat{#1}} \DeclareMathOperator{\supp}{supp} \DeclareMathOperator{\ess}{ess} \DeclareMathOperator{\dist}{dist} \newcommand\invft[1]{\glsref[invft_symbol]{\widecheck{#1}}} \newcommand\ccinf{C_c^\infty}