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On approximating two distributions from a single complex-valued function

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abstract

We consider the problem of approximating two, possibly unrelated probability distributions from a single complex-valued function $\psi$ and its Fourier transform. We show that this problem always has a solution within a specified degree of accuracy, provided the distributions satisfy the necessary regularity conditions. We describe the algorithm and construction of $\psi$ and provide examples of approximating several pairs of distributions using the algorithm.

fields

gr-qc 1

years

2026 1

verdicts

UNVERDICTED 1

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