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.
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Vučković, Đ., Vindas, J. (2017). Rotation Invariant Ultradistributions. In: Oberguggenberger, M., Toft, J., Vindas, J., Wahlberg, P. (eds) Generalized Functions and Fourier Analysis. Operator Theory: Advances and Applications(), vol 260. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-51911-1_15
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DOI: https://doi.org/10.1007/978-3-319-51911-1_15
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-51910-4
Online ISBN: 978-3-319-51911-1
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