Some elliptic function identities
J. Cassels (1971)
Acta Arithmetica
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J. Cassels (1971)
Acta Arithmetica
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L. Parson (1982)
Acta Arithmetica
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Walter Bloom (1980)
Studia Mathematica
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Michio Ozeki (1976)
Acta Arithmetica
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L. Carlitz (1969)
Acta Arithmetica
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S. Kamienny, G. Stevens (1983)
Compositio Mathematica
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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.
L. Carlitz (1965)
Acta Arithmetica
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