Let $$F_{\infty }={{\mathbb {F}}_q}\left( \!\left( {1/T}\right) \!\right) $$ be the completion of $${\mathbb {F}}_q(T)$$ at 1/T. We develop a theory Fourier expansions for harmonic cochains on edges Bruhat–Tits building $${{\,\textrm{PGL}\,}}_r(F_{\infty })$$ , $$r\ge 2$$ generalizing an earlier construction Gekeler $$r=2$$ . then apply this to study modular units Drinfeld symmetric space $$\Om...

Formant trajectories have been shown to convey a great deal of speaker-specific information and their speaker-discriminatory potential has been quantified using Linear Discriminant Analysis on laboratory material [16]. This study tests the applicability of LDA on three sets of real-case forensic recordings. Given the limitations of LDA, we used the actual formant trajectory values (F1–F3) and c...