ADVANCED ANALYSIS 1

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Code
61683
ACADEMIC YEAR
2017/2018
CREDITS
8 credits during the 1st year of 9011 Mathematics (LM-40) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/05
LANGUAGE
Italian (English on demand)
TEACHING LOCATION
GENOVA (Mathematics)
semester
2° Semester
Teaching materials

OVERVIEW

Language: Italian

AIMS AND CONTENT

LEARNING OUTCOMES

The course aims to provide an introduction to distribution theory and some of its applications

TEACHING METHODS

Teaching style: In presence

SYLLABUS/CONTENT

TO BE UPDATED

Introduction about topological vector spaces and locally convex topological vector spaces; metrizability. Frechet spaces. Spaces of test functions. Results on density. Definition of distribution. Order of a distribution. Positive distributions. Finite density distributions. Distributions with compact support. Calculus with distributions. Tensorial product of two distributions. Derivative. Study of some differential equations. Topology of D’. Convolution. Fourier transform. Sobolev spaces.

TEACHERS AND EXAM BOARD

Exam Board

GIANFRANCO BOTTARO (President)

ANDREA BRUNO CARBONARO (President)

GIANCARLO MAUCERI

LESSONS

TEACHING METHODS

Teaching style: In presence

LESSONS START

The class will start according to the academic calendar.

Class schedule

ADVANCED ANALYSIS 1

EXAMS

EXAM DESCRIPTION

Oral.