CODE 61683 ACADEMIC YEAR 2017/2018 CREDITS 8 cfu anno 1 MATEMATICA 9011 (LM-40) - 8 cfu anno 2 MATEMATICA 9011 (LM-40) - SCIENTIFIC DISCIPLINARY SECTOR MAT/05 LANGUAGE Italian (English on demand) TEACHING LOCATION SEMESTER 2° Semester TEACHING MATERIALS AULAWEB 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 ANDREA BRUNO CARBONARO Exam Board GIANFRANCO BOTTARO (President) ANDREA BRUNO CARBONARO (President) GIANCARLO MAUCERI LESSONS LESSONS START The class will start according to the academic calendar. Class schedule ADVANCED ANALYSIS 1 EXAMS EXAM DESCRIPTION Oral.
