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Analysis Seminar-Madelyne Brown (UNC-Chapel Hill)

Event Type: 
Madelyne Brown
Event Date: 
Friday, September 9, 2022 -
3:00pm to 4:00pm
General PublicFaculty/StaffStudentsAlumni/Friends

Event Description: 

Title: Fourier coefficients of restricted eigenfunctions

Abstract: We will discuss the growth of Laplace eigenfunctions on a compact manifold when restricted to a submanifold. We analyze the behavior of the restricted eigenfunctions by studying their Fourier coefficients with respect to an arbitrary orthonormal basis for the submanifold. We give an explicit bound on these coefficients depending on how the defect measures for the two collections of functions, the eigenfunctions and the basis, relate.

Event Contact

Contact Name: Matthew Blair

Contact Email: