2011/10/14 by R. Lakshmi Lavanya, Sundaram Thangavelu, Lavanya, R. Lakshmi +1
Mathematics · #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1110.3222
openalex publication_date 2011/10/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to show that any continuous *-homomorphism of L1(Cn)(with twisted convolution as multipli- cation) into B(L2(Rn)) is essentially a Weyl transform. From this we deduce a similar characterisation for the group Fourier transform on the Heisenberg group, in terms of convolution.