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Title Details:
Συντελεστές και σειρές Fourier
Authors: Kolountzakis, Michail
Papachristodoulos, Christos
Reviewer: Papadimitrakis, Michail
Subject: MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > HARMONIC ANALYSIS ON EUCLIDEAN SPACES > HARMONIC ANALYSIS IN ONE VARIABLE
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > REAL FUNCTIONS
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > MEASURE AND INTEGRATION
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > HARMONIC ANALYSIS ON EUCLIDEAN SPACES
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > REAL FUNCTIONS > FUNCTIONS OF ONE VARIABLE
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > REAL FUNCTIONS > FUNCTIONS OF SEVERAL VARIABLES
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > REAL FUNCTIONS > INEQUALITIES
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > MEASURE AND INTEGRATION > CLASSICAL MEASURE THEORY
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > MEASURE AND INTEGRATION > SET FUNCTIONS, MEASURES AND INTEGRALS WITH VALUES IN ABSTRACT SPACES
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > MEASURE AND INTEGRATION > SET FUNCTIONS AND MEASURES ON SPACES WITH ADDITIONAL STRUCTURE
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > HARMONIC ANALYSIS ON EUCLIDEAN SPACES > HARMONIC ANALYSIS IN SEVERAL VARIABLES
MATHEMATICS AND COMPUTER SCIENCE > MATHEMATICS > HARMONIC ANALYSIS ON EUCLIDEAN SPACES > NONTRIGONOMETRIC HARMONIC ANALYSIS
ENGINEERING AND TECHNOLOGY > TECHNOLOGICAL SCIENCES AND ENGINEERING > TELECOMMUNICATIONS ENGINEERING AND TECHNOLOGY > SIGNALS AND SYSTEMS
ENGINEERING AND TECHNOLOGY > TECHNOLOGICAL SCIENCES AND ENGINEERING > TELECOMMUNICATIONS ENGINEERING AND TECHNOLOGY > SIGNAL PROCESSING
Keywords:
Mathematical Analysis
Fourier Transform
Measure Lebesgue Measure Measurable Functions Lebesgue Integral Applications
Signals
Signals And Systems
Description:
Abstract:
Συντελεστές και σειρά Fourier ολοκληρωσίμων συναρτήσεων.
Αλγεβρικές και στοιχειώδεις ιδιότητες.
Συνέλιξη συναρτήσεων.
Μερικά αθροίσματα και πυρήνας Dirichlet.
Τάξη μεγέθους συντελεστών Fourier ομαλών συναρτήσεων, I και σύγκλιση κατά σημείο σε αυτή
την περίπτωση.
Θεώρημα Banach–Steinhaus και αποτυχία σύγκλισης της σειράς Fourier κατά σημείο γενικά.
Type: Chapter
Creation Date: 2015
Item Details:
License: http://creativecommons.org/licenses/by-nc-nd/3.0/gr
Handle http://hdl.handle.net/11419/5202
Bibliographic Reference: Kolountzakis, M., & Papachristodoulos, C. (2015). Συντελεστές και σειρές Fourier [Chapter]. In Kolountzakis, M., & Papachristodoulos, C. 2015. Ανάλυση Fourier [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/5202
Language: Greek
Is Part of: Ανάλυση Fourier
Publication Origin: Kallipos, Open Academic Editions