Multiplicative Complexity of XOR Based Regular Functions

2022 ◽  
pp. 1-1
Anna Bernasconi ◽  
Stelvio Cimato ◽  
Valentina Ciriani ◽  
Maria Chiara Molteni
2019 ◽  
Vol 31 (3) ◽  
pp. 713-726
Jacek Gulgowski

Abstract In this paper we investigate the problem of uniform continuity of nonautonomous superposition operators acting between spaces of functions of bounded Λ-variation. In particular, we give the sufficient conditions for nonautonomous superposition operators to continuously map a space of functions of bounded Λ-variation into itself. The conditions cover the generators being functions of {C^{1}} -class (in view of two variables), but also allow for less regular functions, including discontinuous generators.

2005 ◽  
Vol 04 (06) ◽  
pp. 613-629 ◽  

In this paper a *-algebra of regular functions on the Shilov boundary S(𝔻) of bounded symmetric domain 𝔻 is constructed. The algebras of regular functions on S(𝔻) are described in terms of generators and relations for two particular series of bounded symmetric domains. Also, the degenerate principal series of quantum Harish–Chandra modules related to S(𝔻) = Un is investigated.

1971 ◽  
Vol 30 (2) ◽  
pp. 327-327 ◽  
R. J. Libera ◽  
A. E. Livingston

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