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The Fourier transform in Lebesgue spaces

open access: yesCzechoslovak Mathematical Journal
For each $f\in L^p({\mathbb R)}$ ($1\leq p<\infty$) it is shown that the Fourier transform is the distributional derivative of a Hölder continuous function. For each $p$ a norm is defined so that the space Fourier transforms is isometrically isomorphic to $L^p({\mathbb R)}$. There is an exchange theorem and inversion in norm.
openaire   +3 more sources

Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]

open access: yesCommun Math Phys
Oh T, Tolomeo L, Wang Y, Zheng G.
europepmc   +1 more source

Generative diffusion models in infinite dimensions: a survey. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci
Franzese G, Michiardi P.
europepmc   +1 more source

Lebesgue spaces of summable functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
openaire   +2 more sources

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