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We study solutions to convolution equations for functions with discrete support in ℝn, a special case being functions with support in the integer points. The Fourier transform of a solution… Click to show full abstract
We study solutions to convolution equations for functions with discrete support in ℝn, a special case being functions with support in the integer points. The Fourier transform of a solution can be extended to a holomorphic function in some domains in ℂn, and we determine possible domains in terms of the properties of the convolution operator.
Keywords:
transforms solutions;
convolution equations;
convolution;
domains holomorphy;
fourier transforms;
holomorphy fourier
Journal Title: Science China Mathematics
Year Published: 2017
Link to full text (if available)
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Journal Title: Science China Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!