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math.FA2010
Infinite-Dimensional Bicomplex Hilbert Spaces
Raphael Gervais Lavoie, Louis Marchildon, Dominic Rochon
This paper begins the study of infinite-dimensional modules defined on bicomplex numbers. It generalizes a number of results obtained with finite-dimensional bicomplex modules. The…
math.FA2010★ 31 cited
Finite-Dimensional Bicomplex Hilbert Spaces
Raphael Gervais Lavoie, Louis Marchildon, Dominic Rochon
This paper is a detailed study of finite-dimensional modules defined on bicomplex numbers. A number of results are proved on bicomplex square matrices, linear operators, orthogonal…