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math.FA2026
Analytic integration of metric-valued functions in Lipschitz free spaces
Roger Arnau, Álvaro González Cortés, Enrique A. Sánchez Pérez
We develop an integration theory for functions taking values in a metric space. Following a Bochner-type construction, we define the concept of free integral as an element of the L…
math.FA2026
Diagonalization of nonlinear functions in finite-dimensional spaces and the case of
Roger Arnau, Juan Carlos Cortés López, Álvaro González Cortés +1
This paper introduces a new theoretical framework for the diagonalization of nonlinear functions defined in finite-dimensional real Euclidean spaces. Extending classical results fr…