| Authors: | Vučković, Đorđe Vindas, Jasson |
Title: | Rotation invariant ultradistributions | Journal: | Generalized Functions and Fourier Analysis | Series/Report no.: | Operator Theory: Advances and Applications | Volume: | 260 | First page: | 253 | Last page: | 267 | Issue Date: | 1-Jan-2017 | ISSN: | 0255-0156 | DOI: | 10.1007/978-3-319-51911-1_15 | Abstract: | We prove that an ultradistribution is rotation invariant if and only if it coincides with its spherical mean. For it, we study the problem of spherical representations of ultradistributions on ℝn. Our results apply to both the quasianalytic and the non-quasianalytic case. |
Keywords: | Hyperfunctions | Rotation invariant | Spherical harmonics | Spherical means | Spherical representations | Ultradistributions | Publisher: | Springer Link | Project: | Ghent University, BOF-grant 01N01014 |
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