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The Fourier transform in Lebesgue spaces
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.
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Hyperbolic P ( Φ ) 2 -model on the Plane. [PDF]
Oh T, Tolomeo L, Wang Y, Zheng G.
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Generalized Legendre Transforms Have Roots in Information Geometry. [PDF]
Nielsen F.
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On the solution for a nonlinear wave equation with variable exponent nonlinearity and a varying delay. [PDF]
Benguessoum A +3 more
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Arrow of Time in Quantum Mechanics and Set Theory. [PDF]
Król J.
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Contraction semigroups in Lebesgue space [PDF]
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Extended Divergence-Measure Fields, the Gauss-Green Formula and Cauchy Fluxes. [PDF]
Chen GG, Irving C, Torres M.
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Generative diffusion models in infinite dimensions: a survey. [PDF]
Franzese G, Michiardi P.
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Microwave-Based Subsurface Characterization through a Combined Finite Element and Variable Exponent Spaces Technique. [PDF]
Schenone V +5 more
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Lebesgue spaces of summable functions [PDF]
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