From Fourier Expansions to Arithmetic-Haar Expressions on Quaternion Groups

Abstract

Arithmetic expressions for switching functions are introduced through the replacement of Boolean operations with arithmetic equivalents. In this setting, they can be regarded as the integer counterpart of Reed-Muller expressions for switching functions. However, arithmetic expressions can be interpreted as series expansions in the space of complex valued… (More)
DOI: 10.1007/s002000100068

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