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Glossary
Semester (Sem)
1First Semester
2Second Semester
AAnnual course
Educational activities
ABasic activities
CSimilar or integrative activities
Language
Course completely offered in italian
Course completely offered in english
--Not available
Innovative teaching
The credits shown next to this symbol indicate the part of the course CFUs provided with Innovative teaching.
These CFUs include:
  • Subject taught jointly with companies or organizations
  • Blended Learning & Flipped Classroom
  • Massive Open Online Courses (MOOC)
  • Soft Skills
Course Details
Context
Academic Year 2019/2020
School School of Industrial and Information Engineering
Name (Bachelor of Science degree)(ord. 270) - MI (357) Electronic Engineering
Track E1A - Non diversificato
Programme Year 3

Course Details
ID Code 086000
Course Title ELEMENTS OF FUNCTIONAL ANALYSIS AND INTEGRAL TRANSFORMS
Course Type Mono-Disciplinary Course
Credits (CFU / ECTS) 5.0
Semester Second Semester
Course Description Elements of Functional Analysis: vectorial and normed spaces; sequences and series in normed spaces; linear operators; Lebesgue integral on R; spaces C0[a, b], L1 (R),L2 (R) , L'(R); convergence of sequences and series on L1 (R) on L2 (R). Fourier Transform on L1 (R): main properties in time-domain and in frequency-domain, the Riemann-Lebesgue theorem; convolution; Fourier transform of convolution; the inversion formula on L1(R);the Plancherel equality on L1 (R)' L2 (R); the space S(R ) of rapidly decreasing functions. Distributions: the space D'(R ) of distributions on R ; main operations on D'(R); the Dirac impulse ; distributions with compact support; convolution; the space S'(R) of tempered distributions; Fourier transform on S'(R). Time-invariant linear operators on S'(R); filters theorem; impulse response; applications to linear differential and convolution equations. Band limited signals: the sampling theorem on L2 (R). Laplace Transform: analiticity; main properties; Laplace transform of the Dirac impulse; applications to causal filters; transfer function.
Scientific-Disciplinary Sector (SSD)
Educational activities SSD Code SSD Description CFU
A,C
MAT/05
MATHEMATICAL ANALYSIS
5.0

Schedule, add and removeAlphabetical groupProfessorLanguageCourse details
From (included)To (excluded)
--AZZZZBramanti Marco
manifesti v. 3.3.3 / 3.3.3
Area Servizi ICT
03/04/2020