Curriculum
Mutuazione: 20410409 AM310 - ISTITUZIONI DI ANALISI SUPERIORE in Matematica LM-40 BATTAGLIA LUCA, ESPOSITO PIERPAOLO
Programme
Measure theory, outer measures, construction of Borel measures and the Lebesgue measure.Integration theory, limit theorems, convergence in mean and in measure, integration on product spaces, change of variables for the Lebesgue integral.
Radon measures, regularity, positive linear functionals, Riesz representation theorem.
Signed measures, decomposition theorems, differentiation, BV functions, fundamental theorem of calculus.
Lp spaces, basic properties, dual spaces, density theorems.
Core Documentation
G. Folland - "Real Analysis" - WileyType of delivery of the course
Lectures.Type of evaluation
Homework and oral exam.Mutuazione: 20410409 AM310 - ISTITUZIONI DI ANALISI SUPERIORE in Matematica LM-40 BATTAGLIA LUCA, ESPOSITO PIERPAOLO
Programme
Measure theory, outer measures, construction of Borel measures and the Lebesgue measure.Integration theory, limit theorems, convergence in mean and in measure, integration on product spaces, change of variables for the Lebesgue integral.
Radon measures, regularity, positive linear functionals, Riesz representation theorem.
Signed measures, decomposition theorems, differentiation, BV functions, fundamental theorem of calculus.
Lp spaces, basic properties, dual spaces, density theorems.
Core Documentation
G. Folland - "Real Analysis" - WileyType of delivery of the course
Lectures.Type of evaluation
Homework and oral exam.Mutuazione: 20410409 AM310 - ISTITUZIONI DI ANALISI SUPERIORE in Matematica LM-40 BATTAGLIA LUCA, ESPOSITO PIERPAOLO
Programme
Measure theory, outer measures, construction of Borel measures and the Lebesgue measure.Integration theory, limit theorems, convergence in mean and in measure, integration on product spaces, change of variables for the Lebesgue integral.
Radon measures, regularity, positive linear functionals, Riesz representation theorem.
Signed measures, decomposition theorems, differentiation, BV functions, fundamental theorem of calculus.
Lp spaces, basic properties, dual spaces, density theorems.
Core Documentation
G. Folland - "Real Analysis" - WileyType of delivery of the course
Lectures.Type of evaluation
Homework and oral exam.Mutuazione: 20410409 AM310 - ISTITUZIONI DI ANALISI SUPERIORE in Matematica LM-40 BATTAGLIA LUCA, ESPOSITO PIERPAOLO
Programme
Measure theory, outer measures, construction of Borel measures and the Lebesgue measure.Integration theory, limit theorems, convergence in mean and in measure, integration on product spaces, change of variables for the Lebesgue integral.
Radon measures, regularity, positive linear functionals, Riesz representation theorem.
Signed measures, decomposition theorems, differentiation, BV functions, fundamental theorem of calculus.
Lp spaces, basic properties, dual spaces, density theorems.
Core Documentation
G. Folland - "Real Analysis" - WileyType of delivery of the course
Lectures.Type of evaluation
Homework and oral exam.Mutuazione: 20410409 AM310 - ISTITUZIONI DI ANALISI SUPERIORE in Matematica LM-40 BATTAGLIA LUCA, ESPOSITO PIERPAOLO
Programme
Measure theory, outer measures, construction of Borel measures and the Lebesgue measure.Integration theory, limit theorems, convergence in mean and in measure, integration on product spaces, change of variables for the Lebesgue integral.
Radon measures, regularity, positive linear functionals, Riesz representation theorem.
Signed measures, decomposition theorems, differentiation, BV functions, fundamental theorem of calculus.
Lp spaces, basic properties, dual spaces, density theorems.
Core Documentation
G. Folland - "Real Analysis" - WileyType of delivery of the course
Lectures.Type of evaluation
Homework and oral exam.Mutuazione: 20410409 AM310 - ISTITUZIONI DI ANALISI SUPERIORE in Matematica LM-40 BATTAGLIA LUCA, ESPOSITO PIERPAOLO
Programme
Measure theory, outer measures, construction of Borel measures and the Lebesgue measure.Integration theory, limit theorems, convergence in mean and in measure, integration on product spaces, change of variables for the Lebesgue integral.
Radon measures, regularity, positive linear functionals, Riesz representation theorem.
Signed measures, decomposition theorems, differentiation, BV functions, fundamental theorem of calculus.
Lp spaces, basic properties, dual spaces, density theorems.
Core Documentation
G. Folland - "Real Analysis" - WileyType of delivery of the course
Lectures.Type of evaluation
Homework and oral exam.