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Weyl transforms associated with the Hankel transform in Clifford analysis
Author(s) -
Zhao Jiman,
Li Hongbo
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.712
Subject(s) - hankel transform , mathematics , pure mathematics , space (punctuation) , compact space , integral transform , hartley transform , clifford analysis , mathematical analysis , algebra over a field , fractional fourier transform , fourier transform , fourier analysis , computer science , dirac operator , operating system
In this paper, we define the Hankel–Wigner transform in Clifford analysis and therefore define the corresponding Weyl transform. We present some properties of this kind of Hankel–Wigner transform, and then give the criteria of the boundedness of the Weyl transform and compactness on the L p space. Copyright © 2005 John Wiley & Sons, Ltd.