Nikolai Vasilevski
Abstract
Consider the space L 2(ℂn, dµn), where dµn is the Gaussian measure, and its Fock subspace F2(ℂn) consisting of all analytic (entire) functions in ℂn. We introduce the so-called truepoly-Fock spaces, and prove that L 2 (ℂn, dµn) is the direct sum of the Fock and all true-polyFock spaces.
OpenAlex reports 68 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
Consider the space L 2(ℂn, dµn), where dµn is the Gaussian measure, and its Fock subspace F2(ℂn) consisting of all analytic (entire) functions in ℂn. We introduce the so-called truepoly-Fock spaces, and prove that L 2 (ℂn, dµn) is the direct sum of the Fock and all true-polyFock spaces.
Key concepts: Fock space, Subspace topology, Fock state, Space (punctuation), Gaussian, Fock matrix, Mathematics, Measure (data warehouse)