A study on admissible vectors in the quasi-regular representations of generalized Weyl-Heisenberg groups

This paper explores the quasi-regular representation of the generalized Weyl-Heisenberg group, deriving a specific form for an admissible vector within this framework. We further investigate the square-integrable representations associated with this group, establishing criteria for admissibility and integrability. Finally, illustrative examples are provided to substantiate the theoretical results and clarify the technical aspects of our approach.

کلیدواژه ها:

Generalized Weyl-Heisenberg group‎ ، ‎Square integrable‎ ، ‎Admissible vector‎