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A note on a generalized form of the Laplacian and of sub-Laplacians
Archiv der Mathematik, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1980
Suppose Ω is an open subset of B, f ∈ C 2 (Ω), and a ∈ Ω. We define $$\left( {\tilde \Delta f} \right)\left( a \right) = \Delta \left( {f \circ {\varphi _a}} \right)\left( 0 \right),$$ (1) where ϕa is the involution defined in §2.2.1, and Δ is the ordinary Laplacian given by $$\Delta g = 4\sum\limits_{i = 1}^n {{D_i}{{\bar D}_i}g ...
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Suppose Ω is an open subset of B, f ∈ C 2 (Ω), and a ∈ Ω. We define $$\left( {\tilde \Delta f} \right)\left( a \right) = \Delta \left( {f \circ {\varphi _a}} \right)\left( 0 \right),$$ (1) where ϕa is the involution defined in §2.2.1, and Δ is the ordinary Laplacian given by $$\Delta g = 4\sum\limits_{i = 1}^n {{D_i}{{\bar D}_i}g ...
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2016
The fractional Laplacian in one dimension Random walkers with constant steps Ordinary diffusion Random jumpers Central limit theorem and stable distributions Power-law probability jump lengths A principal-value integral Wires and springs The fractional Laplacian Fourier transform Effect of fractional order Numerical computation of the fractional ...
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The fractional Laplacian in one dimension Random walkers with constant steps Ordinary diffusion Random jumpers Central limit theorem and stable distributions Power-law probability jump lengths A principal-value integral Wires and springs The fractional Laplacian Fourier transform Effect of fractional order Numerical computation of the fractional ...
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SPECTRUM OF POLY-LAPLACIAN AND FRACTIONAL LAPLACIAN
Differential Geometry of Submanifolds and its Related Topics, 2013openaire +2 more sources