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.
Esmaeelzadeh,F. (2025). A study on admissible vectors in the quasi-regular representations of generalized Weyl-Heisenberg groups. Journal of Frame and Matrix Theory, 2(1), 23-35. doi: 10.22034/jfmt.2025.487997.1018
MLA
Esmaeelzadeh,F. . "A study on admissible vectors in the quasi-regular representations of generalized Weyl-Heisenberg groups", Journal of Frame and Matrix Theory, 2, 1, 2025, 23-35. doi: 10.22034/jfmt.2025.487997.1018
HARVARD
Esmaeelzadeh F. (2025). 'A study on admissible vectors in the quasi-regular representations of generalized Weyl-Heisenberg groups', Journal of Frame and Matrix Theory, 2(1), pp. 23-35. doi: 10.22034/jfmt.2025.487997.1018
CHICAGO
F. Esmaeelzadeh, "A study on admissible vectors in the quasi-regular representations of generalized Weyl-Heisenberg groups," Journal of Frame and Matrix Theory, 2 1 (2025): 23-35, doi: 10.22034/jfmt.2025.487997.1018
VANCOUVER
Esmaeelzadeh F. A study on admissible vectors in the quasi-regular representations of generalized Weyl-Heisenberg groups. JFMT, 2025; 2(1): 23-35. doi: 10.22034/jfmt.2025.487997.1018
