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math.CA2026
Borell--Brascamp--Lieb inequality with finitely many output functions
Takashi Satomi
The classical Borell--Brascamp--Lieb inequality for multiple functions is an integral inequality relating finitely many input functions to a single output function. In this paper,…
math.CA2026
Continuous solutions of the complex Kac--Bernstein functional equation on the integers and the real numbers
Takashi Satomi
In this paper, the continuous solutions of the complex Kac--Bernstein functional equation \[ f_1 ( u + v ) f_2 ( u - v ) f_1 ( u' + v' ) f_2 ( u' - v' ) = f_1 ( u + v' ) f_2 ( u -…