CORDIS Project
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This research focuses on developing a theory for noncommutative integration using von Neumann algebras, aiming to bridge gaps in existing mathematical frameworks. It explores applications in areas like quantum probability and harmonic analysis, advancing the understanding of complex mathematical structures.
Von Neumann's concept of quantization goes back to the foundations of quantum mechanicsand provides a noncommutative model of integration.
Over the years, von Neumann algebrashave shown a profound structure and set the right framework for quantizing portions of algebra,analysis, geometry and probability. A fundamental part of my research is devoted to develop avery much expected Calderón-Zygmund theory for von Neumann algebras.
The lack of naturalmetrics partly justifies this long standing gap i…
AGENCIA ESTATAL CONSEJO SUPERIOR DE INVESTIGACIONES CIENTIFICAS
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