The Weinstein transform associated with generalized distributions

doi:10.21203/rs.3.rs-2373649/v1

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The Weinstein transform associated with generalized distributions

https://doi.org/10.21203/rs.3.rs-2373649/v1

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Björck [4], and Hörmander [8], investigated the linear partial differential operators and generalized distributions associated with the Fourier transform by utilizing the convolution properties on the spaces of types D_ω(Rⁿ), Eω(Rⁿ), and S_ω(Rⁿ). Motivated by above results the present paper examined various properties of the Wein-stein transform over generalized distributions D_ω (R₊ⁿ⁺¹) and other spaces. The convolution properties of generalized distributions associated with the Weinstein transform on space D_ω (R₊ⁿ⁺¹) ) are discussed.

Mathematics Subject Classification (2010). 46F05. 46F10. 46F12. 42A85.

Fourier transform

Weinstein operator

Weinstein transform

Weinstein convolution

Generalized distributions.

No competing interests reported.

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The Weinstein transform associated with generalized distributions

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