Spectral integrals of Bernoulli generalized functionals

نویسندگان

چکیده

Let S⊂L2⊂S∗ be the Gel'fand triple over Bernoulli space, where elements of S∗ are called generalized functionals. In this paper, we define integrals functionals with respect to a spectral measure (projection operator-valued measure) in framework S⊂L2⊂S∗, and examine their fundamental properties. New notions introduced, several results obtained examples also shown.

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ژورنال

عنوان ژورنال: Stochastics

سال: 2021

ISSN: ['2472-7067', '0090-9491']

DOI: https://doi.org/10.1080/17442508.2021.1959586