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math.CV2013
Basics of functional analysis with bicomplex scalars, and bicomplex Schur analysis
Daniel Alpay, María Elena Luna-Elizarrarás, Michael Shapiro +1
With the goal of providing the foundations for a rigorous study of modules of bicomplex holomorphic functions, we develop a general theory of functional analysis with bicomplex sca…
math.FA2013
On algebras which are inductive limits of Banach spaces
Daniel Alpay, Guy Salomon
We introduce algebras which are inductive limits of Banach spaces and carry inequalities which are counterparts of the inequality for the norm in a Banach algebra. We then define a…