MEASURING AND INTEGRATION THEORY
cod. 14859

Academic year 2009/10
3° year of course - First semester
Professor
Academic discipline
Analisi matematica (MAT/05)
Field
Formazione analitica
Type of training activity
Characterising
30 hours
of face-to-face activities
3 credits
hub: PARMA
course unit
in - - -

Learning objectives

To provide basic knowledge of measure theory and integration in its abstract formulation.

Prerequisites

Mathematical Analysis courses of the specialistic degree. Elements of topology.

Course unit content

 Abstract integration. Positive Borel measures. Lebesgue measure. Lebesgue spaces and inequalities. Signed measure. Integration on product spaces and Fubini's theorem. Product measure. Fourier transform.

Full programme

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Bibliography

Walter Rudin, Real and Complex Analysis.

Teaching methods

Lectures with theory and exercises. Written test (exercises). Oral test (discussion of the written test and verification of the theoretical knowledge of the contents of the course).

Assessment methods and criteria

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Other information

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