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- W2972738132 abstract "We study Hadamard operators on S′(Rd) and give a complete characterization. They have the form L(S)=S⋆T where ⋆ means the multiplicative convolution and T∈OH′(R⁎d), the space of distributions which are θ-rapidly decreasing in infinity and at the coordinate hyperplanes. We use the theory of convolution operators on the space Y(Rd) of exponentially decreasing C∞-functions on Rd (see [7], [17]) and the exponential transformation to characterize the Hadamard operators on S′(Q), Q the positive quadrant, and this result we use as a building block for our main result." @default.
- W2972738132 created "2019-09-19" @default.
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- W2972738132 date "2020-01-01" @default.
- W2972738132 modified "2023-09-25" @default.
- W2972738132 title "Hadamard type operators on temperate distributions" @default.
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- W2972738132 doi "https://doi.org/10.1016/j.jmaa.2019.123499" @default.
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