L-functions and character sums for quadratic forms (II)
H. Stark (1969)
Acta Arithmetica
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H. Stark (1969)
Acta Arithmetica
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Meinhard Peters (1980)
Acta Arithmetica
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Tikao Tatuzawa (1973)
Acta Arithmetica
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Kenneth Williams (1981)
Acta Arithmetica
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Chin-Cheng Lin (1995)
Revista Matemática Iberoamericana
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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.
Břetislav Novák (1976)
Acta Arithmetica
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K Chandrasekharan, Raghavan Narasimhan (1961)
Acta Arithmetica
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R. Cook (1974)
Acta Arithmetica
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C. G. G. Van Herk (1951)
Compositio Mathematica
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