- #1
Umabel
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Does anyone know a good site that covers the Fourier series/transform and its uses?
Understand Fourier Transforms: A Comprehensive Guide
- Thread starter Umabel
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SUMMARY
The discussion centers on the extensive applications of Fourier Transforms and Fourier Series, particularly their duality between functions on real numbers and functions on the circle. Participants highlight the complexity and breadth of the subject, noting its relevance in advanced topics such as the analysis of sheaves on abelian varieties. The conversation suggests utilizing various online resources and traditional libraries for comprehensive learning.
PREREQUISITES- Understanding of basic calculus and complex analysis
- Familiarity with group theory concepts
- Knowledge of abelian varieties in algebraic geometry
- Experience with mathematical analysis techniques
- Explore online resources on Fourier Series and Transforms
- Study the duality between functions on R and the circle
- Research the analysis of sheaves on abelian varieties
- Read foundational texts on group theory and its applications
Mathematicians, physicists, and students in advanced mathematics or engineering fields seeking to deepen their understanding of Fourier Transforms and their applications in various domains.
- #2
mathwonk
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its uses are too many to be covered by one site. the idea is to look at the duality between functions on a group such as R, and functions on the dual group, in this case the circle.
It has hugely many uses including generalizations to analysis of sheaves on abelian varieties and their dual varieties.why not just start searching and reading the sites you find? or go to the "library" (a building at your school where knowledge is stored in print in "books").
It has hugely many uses including generalizations to analysis of sheaves on abelian varieties and their dual varieties.why not just start searching and reading the sites you find? or go to the "library" (a building at your school where knowledge is stored in print in "books").
- #3
Umabel
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Good idea. I thought it was broad...just not THAT broad. Thanks a lot. 
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