Orthonormal systems in spaces of number theoretical functions.

Autor:	Indlekofer, Karl-Heinz, Kaya, Erdener, Wagner, Robert
Předmět:	NUMBER systems HILBERT space SET functions PERIODIC functions ALGEBRA
Zdroj:	Lithuanian Mathematical Journal; Jul2021, Vol. 61 Issue 3, p373-381, 9p
Abstrakt:	In this paper, we consider some examples of set algebras A on ℕ. If ℰ(A ) is the set of simple functions on A , then ℒ∗α(A ) denotes the ‖⋅‖ α-closure of ℰ(A ). Our aim is to determine a complete orthonormal system for the Hilbert space ℒ∗2(A ) in each regarded case. Here ℒ∗2(A ) denotes the quotient space ℒ∗2(A ) modulo null-functions. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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