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Some analysis of two generalized Heisenberg groups
Publication details: New Delhi Springer 2024Edition: Vol.55(1), MarDescription: 153-167pSubject(s): Online resources: In: Indian journal of pure and applied mathematicsSummary: This paper studies two generalized Heisenberg groups: for and . More precisely, we first classify uniform lattices and then give an explicit description of spectral decomposition of for any uniform lattice , in particular for the uniform lattice , where is defined to be . Finally using the Selberg trace formula and spectral decomposition of , we obtain an identity which involves the Fourier transform.| Item type | Current library | Status | Barcode | |
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School of Engineering & Technology Archieval Section | Not for loan | 2024-1556 |
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This paper studies two generalized Heisenberg groups: for and . More precisely, we first classify uniform lattices and then give an explicit description of spectral decomposition of for any uniform lattice , in particular for the uniform lattice , where is defined to be . Finally using the Selberg trace formula and spectral decomposition of , we obtain an identity which involves the Fourier transform.
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