Αθροισιμότητα σειρών Fourier

Kolountzakis, Michail; Papachristodoulos, Christos; Κολουντζάκης, Μιχαήλ; Παπαχριστόδουλος, Χρήστος

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Title Details:
Αθροισιμότητα σειρών 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:	Μέσοι όροι των μερικών αθροισμάτων και πυρήνας του Fejér. Ιδιότητες του πυρήνα του Fejér. Σύγκλιση των μέσων Cesaro της σειράς Fourier στη συνάρτηση σε διάφορες νόρμες και κατά σημείο. Μοναδικότητα της σειράς Fourier. Εφαρμογή : Πυκνότητα τριγ. πολυωνύμων και αλγεβρικών πολυωνύμων (θ. Weierstrass). Εφαρμογή : Θεώρημα ισοκατανομής του Weyl. Εφαρμογή : Μια συνεχής συνάρτηση πουθενά παραγωγίσμη.
Type:	Chapter
Creation Date:	2015
Item Details:
License:	http://creativecommons.org/licenses/by-nc-nd/3.0/gr
Handle	http://hdl.handle.net/11419/5203
Bibliographic Reference:	Kolountzakis, M., & Papachristodoulos, C. (2015). Αθροισιμότητα σειρών Fourier [Chapter]. In Kolountzakis, M., & Papachristodoulos, C. 2015. Ανάλυση Fourier [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/5203
Language:	Greek
Is Part of:	Ανάλυση Fourier
Publication Origin:	Kallipos, Open Academic Editions