For bandlimited functions of several variables, exact reconstruction is possible from samples of the function and all 2^n mixed first-order partial derivatives on the lattice (2π/σ)Z^n, using the squared sinc kernel.
M., Complex analytic sets
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On a sampling expansion with partial derivatives for functions of several variables
For bandlimited functions of several variables, exact reconstruction is possible from samples of the function and all 2^n mixed first-order partial derivatives on the lattice (2π/σ)Z^n, using the squared sinc kernel.