We investigate the relevance of admissibility criteria based on Plancherel measure for the characterization of tight Weyl-Heisenberg frames with integer oversampling. For this purpose we observe that functions giving rise to such Weyl-Heisenberg frames are admissible with regard to the action of a suitably defined type-I discrete group G. This allows to relate the construction of Weyl-Heisenber...

We consider the Robinson–Schensted–Knuth algorithm applied to a random input and study growth of bottom rows corresponding Young diagrams. prove multidimensional Poisson limit theorem for resulting Plancherel process. In this way we extend result Aldous Diaconis more than just one row. This can be interpreted as convergence multi-line Hammersley process its stationary distribution which is give...