Generation of class fields by the modular function
Kuk Jin Hong, Ja Kyung Koo (2000)
Acta Arithmetica
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Kuk Jin Hong, Ja Kyung Koo (2000)
Acta Arithmetica
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Acta Arithmetica
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Rendiconti del Seminario Matematico della Università di Padova
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Acta Arithmetica
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We give a Hörmander-type sufficient condition on an operator-valued function M that implies the L-boundedness result for the operator T defined by (Tf)^ = Mf^ on the (2n + 1)-dimensional Heisenberg group H. Here ^ denotes the Fourier transform on H defined in terms of the Fock representations. We also show the H-L boundedness of T, ||Tf|| ≤ C||f||, for H under the same hypotheses of L-boundedness.
L. Carlitz (1964)
Acta Arithmetica
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Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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