On a series of Carlitz involving ultraspherical polynomials
S. K. Chatterjea (1961)
Rendiconti del Seminario Matematico della Università di Padova
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S. K. Chatterjea (1961)
Rendiconti del Seminario Matematico della Università di Padova
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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. Parson (1982)
Acta Arithmetica
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S. K. Chatterjea (1961)
Rendiconti del Seminario Matematico della Università di Padova
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J. Cassels (1971)
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C. G. G. Van Herk (1951)
Compositio Mathematica
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Portugaliae mathematica
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Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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