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We establish the Fourier inversion for the smooth vectors in L2(GL2, ω) over a number field F, using minimal knowledge from automorphic representation theory. We point out a possible way… Click to show full abstract
We establish the Fourier inversion for the smooth vectors in L2(GL2, ω) over a number field F, using minimal knowledge from automorphic representation theory. We point out a possible way to establish Fourier inversion for larger classes of functions. We also point out the incompleteness of some commonly believed “proof” of Fourier inversion in the literature. Moreover, the explicit computation of the intertwining operator has independent interests.
Keywords:
fourier inversion;
representation theory;
note spectral;
automorphic representation
Journal Title: International Journal of Number Theory
Year Published: 2017
Link to full text (if available)
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Journal Title: International Journal of Number Theory
Year Published: 2017
Link to full text (if available)
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recommendations!