Η θεωρία L^2

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

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Title Details:
Η θεωρία L^2
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:	Πλήρη ορθοκανονικά συστήματα στο χώρο L^2 ([ 0, 2π ]) . Ανισότητα Bessel και ταυτότητα Parseval για γενικά ορθοκανονικά και πλήρη συστήματα. Πληρότητα των εκθετικών exp(inx) . Σύγκλιση των μερικών αθροισμάτων μιας L^2 συνάρτησης στη συνάρτηση στην L^2 νόρμα. Εφαρμογή : η ισοπεριμετρική ανισότητα.
Type:	Chapter
Creation Date:	2015
Item Details:
License:	http://creativecommons.org/licenses/by-nc-nd/3.0/gr
Handle	http://hdl.handle.net/11419/5204
Bibliographic Reference:	Kolountzakis, M., & Papachristodoulos, C. (2015). Η θεωρία L^2 [Chapter]. In Kolountzakis, M., & Papachristodoulos, C. 2015. Ανάλυση Fourier [Undergraduate textbook]. Kallipos, Open Academic Editions. https://hdl.handle.net/11419/5204
Language:	Greek
Is Part of:	Ανάλυση Fourier
Publication Origin:	Kallipos, Open Academic Editions