A new class of special functions in higher dimensions

[摘要] We introduce a new class of functions Gνf that are defined via integrals over σ-finite measure spaces and their kernels are defined in terms of Bessel functions and measurable functions. We prove that for certain values of ν, the function Gνf is the Fourier transform of the distribution function df.

[学科分类] 数学（综合）

[关键词] distribution functions;Bessel function;Fourier transform