Distributions with exponential growth and Bochner-Schwartz theorem for Fourier hyperfunctions (Q1913420)
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scientific article; zbMATH DE number 878502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Distributions with exponential growth and Bochner-Schwartz theorem for Fourier hyperfunctions |
scientific article; zbMATH DE number 878502 |
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Distributions with exponential growth and Bochner-Schwartz theorem for Fourier hyperfunctions (English)
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14 May 1996
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Summary: Every positive definite Fourier hyperfunction is a Fourier transform of a positive and infra-exponentially tempered measure, which is the generalized Bochner-Schwartz theorem for the Fourier hyperfunctions. To prove this we characterize the distributions with exponential growth via the heat kernel method.
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positive definite Fourier hyperfunction
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Fourier transform
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infra-exponentially tempered measure
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generalized Bochner-Schwartz theorem
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exponential growth
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kernel method
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