Counterexamples disprove Kac's conjecture on Laplace distribution characterization via a nonlinear operation on characteristic functions, while a refined version holds and a general framework is introduced.
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On a Problem of M. Kac on Laplace Distributions
Counterexamples disprove Kac's conjecture on Laplace distribution characterization via a nonlinear operation on characteristic functions, while a refined version holds and a general framework is introduced.