engleski

On multivariable Plancherel-Pólya inequality and truncation error upper bounds in irregular sampling

In the note is shown that for the d-dimensional Bernstein functions class B_{; ; ; ; ; ; ; sigma, d}; ; ; ; ; ; ; ^p, p>0, the Plancherel-Pólya inequality holds with the constant which equals to the product of the constants occuring in the one-dimensional cases. Related truncation error upper bounds are precised in the irregular sampling restoration of functions in several variables.

Bernstein function class ; Entire exponentially bounded functions of several variables ; Paley-Wiener function class ; Placherel-Pólya inequality ; Irregular sampling ; Truncation error upper bounds

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