Harmonic Analysis and Applications
Home > Mathematics and Science Textbooks > Physics > Applied physics > Harmonic Analysis and Applications: (Studies in Advanced Mathematics)
Harmonic Analysis and Applications: (Studies in Advanced Mathematics)

Harmonic Analysis and Applications: (Studies in Advanced Mathematics)


     0     
5
4
3
2
1



Out of Stock


Notify me when this book is in stock
X
About the Book

Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. In Harmonic Analysis and Applications, the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality, power, elegance, usefulness, and the intricacy and simplicity of the subject. This book is about classical harmonic analysis - a textbook suitable for students, and an essay and general reference suitable for mathematicians, physicists, and others who use harmonic analysis. Throughout the book, material is provided for an upper level undergraduate course in harmonic analysis and some of its applications. In addition, the advanced material in Harmonic Analysis and Applications is well-suited for graduate courses. The course is outlined in Prologue I. This course material is excellent, not only for students, but also for scientists, mathematicians, and engineers as a general reference. Chapter 1 covers the Fourier analysis of integrable and square integrable (finite energy) functions on R. Chapter 2 of the text covers distribution theory, emphasizing the theory's useful vantage point for dealing with problems and general concepts from engineering, physics, and mathematics. Chapter 3 deals with Fourier series, including the Fourier analysis of finite and infinite sequences, as well as functions defined on finite intervals. The mathematical presentation, insightful perspectives, and numerous well-chosen examples and exercises in Harmonic Analysis and Applications make this book well worth having in your collection.

Table of Contents:
Prologue I-Course I Prologue II-Fourier Transforms, Fourier Series, and Discrete Fourier Transforms Fourier Transforms Definitions and Formal Calculations Algebraic Properties of Fourier Transforms Examples Analytic Properties of Fourier Transforms Convolution Approximate Identities and Examples Pointwise Inversion of the Fourier Transform Partial Differential Equations Gibbs Phenomenon The L2(R) Theory Exercises Measures and Distribution Theory Approximate Identities Definition of Distributions Differentiation of Distributions The Fourier Transform of Distributions Convolution of Distributions Operational Calculus Measure Theory Definitions from Probability Theory Wiener's Generalized Harmonic Analysis (GHA) exp{it2} Exercises Fourier Series Fourier Series - Definitions and Convergence History of Fourier Series Integration and Differentiation of Fourier Series The L1(T) and L2(T) Theories A(T) and the Wiener Inversion Theorem Maximum Entropy and Spectral Estimation Prediction and Spectral Estimation Discrete Fourier Transform Fast Fourier Transform Periodization and Sampling Exercises Appendices A. Real Analysis B. Functional Analysis C. Fourier Analysis Formulas D. Contributors to Fourier Analysis Notation Bibliography Index

About the Author :
Benedetto, John J.

Review :
"Written by a leading specialist in harmonic analysis, the present book is a very good text on harmonic analysis, its applications and evolution, and can be used as a textbook as well as an essay for students and as a general reference for engineers, mathematicians, physicists.." - Studia University "Babes-Bolyai" Mathematica; Vol XLVI, No. 3, September 2001


Best Sellers


Product Details
  • ISBN-13: 9781000120882
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: CRC Press
  • Language: English
  • No of Pages: 368
  • ISBN-10: 1000120880
  • Publisher Date: 17 Dec 2020
  • Binding: Digital (delivered electronically)
  • No of Pages: 368
  • Series Title: Studies in Advanced Mathematics


Similar Products

Add Photo
Add Photo

Customer Reviews

REVIEWS      0     
Click Here To Be The First to Review this Product
Harmonic Analysis and Applications: (Studies in Advanced Mathematics)
Taylor & Francis Ltd -
Harmonic Analysis and Applications: (Studies in Advanced Mathematics)
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Harmonic Analysis and Applications: (Studies in Advanced Mathematics)

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals


    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!