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Fourier expansions ...
Fourier expansions of vector-valued automorphic functions with non-unitary twists
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- Fedosova, Ksenia (författare)
- Albert-Ludwigs-Universität Freiburg,University of Freiburg
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- Pohl, Anke (författare)
- Universität Bremen
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- Rowlett, Julie, 1978 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences
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(creator_code:org_t)
- 2023
- 2023
- Engelska.
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Ingår i: Communications in Number Theory and Physics. - 1931-4531 .- 1931-4523. ; 17:1, s. 173-248
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https://doi.org/10.4...
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Abstract
Ämnesord
Stäng
- We provide Fourier expansions of vector-valued eigenfunctions of the hyperbolic Laplacian that are twist-periodic in a horocycle direction. The twist may be given by any endomorphism of a finite-dimensional vector space; no assumptions on invertibility or unitarity are made. Examples of such eigenfunctions include vector-valued twisted automorphic forms of Fuchsian groups. We further provide a detailed description of the Fourier coefficients and explicitly identify each of their constituents, which intimately depend on the eigenvalues of the twisting endomorphism and the size of its Jordan blocks. In addition, we determine the growth properties of the Fourier coefficients.
Ämnesord
- NATURVETENSKAP -- Matematik -- Algebra och logik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Algebra and Logic (hsv//eng)
- NATURVETENSKAP -- Matematik -- Geometri (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Geometry (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- twisted automorphic function
- generalized automorphic function
- Fourier expansion
- non-unitary representation
- Fourier expansion
- generalized automorphic function
- non-unitary representation
- twisted automorphic function
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- ref (ämneskategori)
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