Harmonic analysis by Friedrich Johann Lehmann

Page Updated:
Book Views: 8

Author
Friedrich Johann Lehmann
Publisher
Date of release
Pages
0
ISBN
2940020079502
Binding
Illustrations
Format
PDF, EPUB, MOBI, TXT, DOC
Rating
5
56

Book review

In the last 200 years, harmonic analysis has been one of the most influential bodies of mathematical ideas, having been exceptionally significant both in its theoretical implications and in its enormous range of applicability throughout mathematics, science, and engineering. In this book, the authors convey the remarkable beauty and applicability of the ideas that have grown from Fourier theory. They present for an advanced undergraduate and beginning graduate student audience the basics of harmonic analysis, from Fourier's study of the heat equation, and the decomposition of functions into sums of cosines and sines (frequency analysis), to dyadic harmonic analysis, and the decomposition of functions into a Haar basis (time localization). While concentrating on the Fourier and Haar cases, the book touches on aspects of the world that lies between these two different ways of decomposing functions: time-frequency analysis (wavelets). Both finite and continuous perspectives are presented, allowing for the introduction of discrete Fourier and Haar transforms and fast algorithms, such as the Fast Fourier Transform (FFT) and its wavelet analogues. The approach combines rigorous proof, inviting motivation, and numerous applications. Over 250 exercises are included in the text. Each chapter ends with ideas for projects in harmonic analysis that students can work on independently. This book is published in cooperation with IAS/Park City Mathematics Institute.


Advertising

Get eBOOK
Harmonic analysis

Find and Download Book

Click one of share button to proceed download:
Choose server for download:
Download
Get It!
File size:16 mb
Estimated time:3 min
If not downloading or you getting an error:
  • Try another server.
  • Try to reload page — press F5 on keyboard.
  • Clear browser cache.
  • Clear browser cookies.
  • Try other browser.
  • If you still getting an error — please contact us and we will fix this error ASAP.
Sorry for inconvenience!
For authors or copyright holders
Amazon Affiliate

Go to Removal form

Leave a comment


Readers reviews