Three problems of restoring a signal-vector by measurement modules and by norms of projectors
Abstract
The article gives a brief overview of the results of the recovery signalvector by modules of measurements and by norms of orthoprojectors in finitedimensional Euclidean and unitary spaces, and in infinite-dimensional real space ℓ2. Three unsolved problems are formulated. Possible solutions are given, and theorems that give partial answers to the questions posed
Keywords
Supporting agencies: The work is supported by the Russian Science Foundation (grant no. 22-21-20024) and performed under the development program of Volga Region Mathematical Center (agreement no. 075-02-2022-882)
About the Authors
I. M. Izbiakov
Samara National Research University
Russian Federation
Russian Federation
1 Akademika Pavlova str., Samara 443011
S. Ya. Novikov
Samara National Research University
Russian Federation
Russian Federation
1 Akademika Pavlova str., Samara 443011
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For citations:
Izbiakov I.M., Novikov S.Ya. Three problems of restoring a signal-vector by measurement modules and by norms of projectors. Mathematics and Theoretical Computer Science. 2023;1(1):24-34. (In Russ.)
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