Solutions to P(i∇)u=0 are exactly the multi-layer distributions of order ≤N on S^{d-1}, or satisfy a higher-order Laplace equation under flatness.
A guide to distribution theory and Fourier transforms
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Fourier analysis is applied to derive inversion formulas for the divergent beam and V-line transforms in two-dimensional tomography.
Quantum graphs are presented as a paradigmatic model for quantum chaos, with the paper providing a didactical overview of foundational results and some recent developments.
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A generalized Liouville theorem via division
Solutions to P(i∇)u=0 are exactly the multi-layer distributions of order ≤N on S^{d-1}, or satisfy a higher-order Laplace equation under flatness.
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THE ROLE OF FOURIER ANALYSIS IN TWO DIMENSIONAL TOMOGRAPHY
Fourier analysis is applied to derive inversion formulas for the divergent beam and V-line transforms in two-dimensional tomography.
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Quantum graph models of quantum chaos: an introduction and some recent applications
Quantum graphs are presented as a paradigmatic model for quantum chaos, with the paper providing a didactical overview of foundational results and some recent developments.