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7. Che´bli–Trime&grave;che hypergroups and <f>W</f>-type spaces

Author

Betancor, J.J., Betancor, J.D., and Méndez, J.M.R.

Subjects
*HYPERGROUPS, *FOURIER transforms
Abstract

The generalized Fourier transformation associated with Che´bli–Trime&grave;che hypergroups is investigated in some spaces of W-type introduced by Gelfand and Shilov. It is established that this transformation is an isomorphism from the space WM,a onto the space WM×,1/a, where the function M and the parameter a determine the growth of the testing functions in the first space, and M× denotes the Young dual function of M. The translation operator and the convolution corresponding to this transform are also studied in this class of spaces. [Copyright &y& Elsevier]

Published
2002
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