F. Hirsch Books

Elements of Functional Analysis
Elements of Functional Analysis

By F. Hirsch, Gilles Lacombe, Francis Hirsch

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This is a graduate text on functional analysis. After presenting the fundamental function spaces and their duals, the authors study topics in operator theory and finally develop the theory of distr...

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Peacocks and associated martingales, with explicit constructions
Peacocks and associated martingales, with explicit constructions

By F. Hirsch

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We call peacock an integrable process which is increasing in the convex order; such a notion plays an important role in Mathematical Finance. A deep theorem due to Kellerer states that a process is...

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If you’ve ever purchased a product online or in a store, you’ve likely come across a barcode. Behind these barcodes lies a standardized system that makes modern commerce possible. Two key codes often encountered are the EAN (European Article Number) and ISBN (International Standard Book Number). But what are they, how are they connected, and why are they so crucial? Let’s explore.

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