Jacob's ladder as generator of new class of iterated L₂-orthogonal systems and their dependence on the Riemann's function

2020/12/17 by Jan Moser, Moser, Jan
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.2012.09694

openalex publication_date 2020/12/17 · openalex created_date 2020/12/21 · openalex updated_date 2026/07/28

Abstract

In this paper new classes of L₂-orthogonal functions are constructed as iterated L₂-orthogonal systems. In order to do this we use the theory of the Riemann's zeta-function as well as our theory of Jacob's ladders. The main result is new one in the theory of the Riemann's zeta-function and simultaneously in the theory of L₂-orthogonal systems.

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