The Distributional Hankel Transform of Marcel Riesz's Ultrahyperbolic Kernel | Zendy

Aguirre Téllez Manuel A. | Zendy

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The Distributional Hankel Transform of Marcel Riesz's Ultrahyperbolic Kernel

Author(s) -

Aguirre Téllez Manuel A.

Publication year - 1994

Publication title -

studies in applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.164

H-Index - 46

eISSN - 1467-9590

pISSN - 0022-2526

DOI - 10.1002/sapm1994932133

Subject(s) - hankel transform , kernel (algebra) , hankel matrix , mathematics , riesz transform , section (typography) , integral transform , pure mathematics , mathematical analysis , fourier transform , computer science , operating system

In this article we give a sense to the distributional Hankel transform of Marcel Riesz's ultrahyperbolic kernel. First we evaluate Rα ( u ) in α = −2 k and α = 2 k for the cases μ even and ν odd, μ even and ν even, and μ odd and ν odd, μ odd and ν even, where and Finally in Section 4 we obtain the distributional Hankel transform of Marcel Riesz's ultrahyperbolic kernel.

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