Meaning of "harmonic analysis" in the English dictionary

PRONUNCIATION OF HARMONIC ANALYSIS

harmonic analysis

GRAMMATICAL CATEGORY OF HARMONIC ANALYSIS

Harmonic analysis is a noun.

A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES HARMONIC ANALYSIS MEAN IN ENGLISH?

Harmonic analysis

Harmonic analysis is a branch of mathematics concerned with the representation of functions or signals as the superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms. In the past two centuries, it has become a vast subject with applications in areas as diverse as signal processing, quantum mechanics, and neuroscience. The term "harmonics" originated as the ancient Greek word, "harmonikos," meaning "skilled in music." It arose in physical eigenvalue-problems to mean waves whose frequencies are integer multiples of one another, as are the frequencies of the harmonics of music notes, but the term has been generalized beyond its original meaning. The classical Fourier transform on Rn is still an area of ongoing research, particularly concerning Fourier transformation on more general objects such as tempered distributions. For instance, if we impose some requirements on a distribution f, we can attempt to translate these requirements in terms of the Fourier transform of f. The Paley–Wiener theorem is an example of this.

Definition of harmonic analysis in the English dictionary

The definition of harmonic analysis in the dictionary is the representation of a periodic function by means of the summation and integration of simple trigonometric functions. Other definition of harmonic analysis is the study of this means of representation.

TRANSLATION OF HARMONIC ANALYSIS

Find out the translation of harmonic analysis to 25 languages with our English multilingual translator.

The translations of harmonic analysis from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «harmonic analysis» in English.

• Translator English - Chinese: 谐波分析
• Translator English - Spanish: análisis armónico
• English: harmonic analysis
• Translator English - Hindi: हार्मोनिक विश्लेषण
• Translator English - Arabic: التحليل التوافقي
• Translator English - Russian: гармонический анализ
• Translator English - Portuguese: análise harmônica
• Translator English - Bengali: সুরেলা বিশ্লেষণ
• Translator English - French: analyse harmonique
• Translator English - Malay: Analisis harmonik
• Translator English - German: Oberschwingungsanalyse
• Translator English - Japanese: 調和解析
• Translator English - Korean: 고조파 분석
• Translator English - Javanese: Analisis harmonik
• Translator English - Vietnamese: phân tích hài hòa
• Translator English - Tamil: ஹார்மோனிக் பகுப்பாய்வு
• Translator English - Marathi: तालबद्ध विश्लेषण
• Translator English - Turkish: Harmonik analiz
• Translator English - Italian: analisi armonica
• Translator English - Polish: analiza harmoniczna
• Translator English - Ukrainian: гармонійний аналіз
• Translator English - Romanian: analiza armonică
• Translator English - Greek: αρμονική ανάλυση
• Translator English - Afrikaans: harmoniese analise
• Translator English - Swedish: harmonisk analys
• Translator English - Norwegian: harmonisk analyse

10 ENGLISH BOOKS RELATING TO «HARMONIC ANALYSIS»

Discover the use of harmonic analysis in the following bibliographical selection. Books relating to harmonic analysis and brief extracts from same to provide context of its use in English literature.

An Introduction to Harmonic Analysis

This new edition has been revised by the author, to include several new sections and a new appendix.

Yitzhak Katznelson, 2004

Harmonic Analysis: From Fourier to Wavelets

In this book, the authors convey the remarkable beauty and applicability of the ideas that have grown from Fourier theory.

María Cristina Pereyra, Lesley A. Ward, 2012

A Course in Abstract Harmonic Analysis

The book concludes with an informal discussion of some further aspects of the representation theory of non-compact, non-Abelian groups.

Gerald B. Folland, 1994

Harmonic Analysis: Real-variable Methods, Orthogonality, and ...

This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L(superscript p) ...

Elias M. Stein, Timothy S. Murphy, 1993

A First Course in Harmonic Analysis

The third part of the book is intended to provide the reader with a first impression of the world of non-commutative harmonic analysis. Chapter 9 introduces methods that are used in the analysis of matrix groups, such as the theory of the ...

Anton Deitmar, 2006

Abstract Harmonic Analysis

This book is a continuation of vol.

Edwin Hewitt, Kenneth A. Ross, 1994

Harmonic Analysis in Phase Space

This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts.

G. B. Folland, 1989

Harmonic Analysis

Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Friedrich Johann Lehmann, 2012

Power System Harmonic Analysis

Quality of power supply is now a major issue worldwide. This text addresses novel analytical and modelling tools for the assessment of power system supply quality.

J. Arrillaga, 1997

Harmonic Analysis: A Gentle Introduction

Devito's Harmonic Analysis Presents A Comprehensive Introduction To Fourier Analysis And Harmonic Analysis And Provides Numerous Examples And Models So That Students Leave With A Clear Understanding Of The Theory.

Carl L. DeVito, 2007

10 NEWS ITEMS WHICH INCLUDE THE TERM «HARMONIC ANALYSIS»

Find out what the national and international press are talking about and how the term harmonic analysis is used in the context of the following news items.

Multicore DSP SoC Incorporates Cortex-A5 for Connected Signal …

The DSP engines are also augmented with FIR and IIR filters, SINC filters for motor control, and Harmonic Analysis Engines (HAE). Related. «Electronic Design, Jun 15»

Arcangelo at Wigmore Hall

... you're still gently encouraged to stifle your coughing and if the programme notes are gentler on harmonic analysis they are still reassuringly ... «The Times, Jun 15»

World-renowned Mathematician and Mathematics Educator Joins …

Today, Howe continues to work on representation theory, including applications to harmonic analysis, automorphic forms, and invariant theory. «Texas A&M University, Jun 15»

Four professors granted tenure in the School of Science

Research directions include computational wave propagation, fast numerical algorithms, applied harmonic analysis, nonlinear signal ... «MIT News, Jun 15»

Briefly Noted

Initially a student of the famous Parisian pedagogue Nadia Boulanger, with whom he mastered counterpoint and harmonic analysis, Glass went ... «The New Yorker, May 15»

Industry veteran launches APQ, a one-stop shop for power quality …

... factor and harmonics), power factor, harmonics, VFD power quality, simplified harmonic analysis, and power quality investment analysis. «Windpower Engineering, Apr 15»

Centre College announces 2015 tenure and promotions

His research interests include boundary value problems on non-smooth domains, harmonic analysis, Navier-Stokes equations and numerical ... «Centre College News, Apr 15»

Associate provost moves on, UF says goodbye

Mair has conducted research in areas ranging from abstract harmonic analysis to statistical inverse problems and image processing. Reflecting ... «The Independent Florida Alligator, Apr 15»

Albert Einstein 60th anniversary: Who are the modern day geniuses …

... Mathematical Olympiad history. Now he specialises in a number of areas of mathematics, including harmonic analysis and number theory. «mirror.co.uk, Apr 15»

Littelfuse Announces Acquisition of JRS MFG. LTD. Assets

JRS also provides Engineering Services specializing in Arc Flash studies and Power Factor and Harmonic analysis studies. For more ... «Business Wire, Mar 15»