Looking for Material on Wavelets

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SUMMARY

This discussion focuses on finding beginner-level resources for learning about Wavelets, specifically targeting undergraduate or early graduate students. Key recommendations include Gerry Kaiser's website for foundational material and Folland's book on Fourier analysis for necessary background knowledge. Additionally, Kreyszig's text is suggested for those seeking a more sophisticated approach to functional analysis. A highly recommended book that covers the basics of wavelets and various applications is available on Amazon, but users should ensure they select a newer edition for comprehensive content.

PREREQUISITES
  • Understanding of infinite dimensional vector spaces
  • Familiarity with function spaces
  • Knowledge of Fourier analysis
  • Basic concepts of Lebesgue integration
NEXT STEPS
  • Explore Gerry Kaiser's website for introductory Wavelet material
  • Read Folland's book on Fourier analysis for foundational concepts
  • Study Kreyszig's text for advanced functional analysis techniques
  • Purchase the latest edition of the recommended book on Wavelets from Amazon
USEFUL FOR

Students and educators in mathematics, particularly those focusing on signal processing, functional analysis, and applications of Wavelets.

stephenkeiths
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Hi, I'm looking for a good beginner text on Wavelets. Preferably an undergraduate or early graduate level. The background material that I'm missing most is infinite dimensional vector spaces/function spaces and Fourier analysis.

Any advice would really be appreciated!

Thanks!
 
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stephenkeiths said:
Hi, I'm looking for a good beginner text on Wavelets. Preferably an undergraduate or early graduate level. The background material that I'm missing most is infinite dimensional vector spaces/function spaces and Fourier analysis.
Maybe this is not quite the right forum for wavelets, but there's lots of material on Gerry Kaiser's website: http://www.wavelets.com/

For the other stuff, maybe Folland's book on Fourier analysis that Micromass recommended recently. Or if you want something with more sophisticated functional analysis, maybe try Kreyszig.
 
strangerep said:
Maybe this is not quite the right forum for wavelets, but there's lots of material on Gerry Kaiser's website: http://www.wavelets.com/

For the other stuff, maybe Folland's book on Fourier analysis that Micromass recommended recently. Or if you want something with more sophisticated functional analysis, maybe try Kreyszig.

Neither Folland or Kreyszig covers wavelets though :frown:
But https://www.amazon.com/dp/0122084381/?tag=pfamazon01-20 is a very good book which does covers the basics of wavelets and many other applications (older editions don't have wavelets, so be sure to get a new edition). Although I have to admit that his treatment of Lebesgue integration is rather nonconventional...

There are better functional analysis books out there, but if you're interested in seeing tons of applications then this is the best book.
 
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