Κεφ 5Adobe PDF (422.69 kB)
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