-
Recent Posts
- Circle discrepancy for checkerboard measures
- DMat0101, Notes 8: Notes Littlewood-Paley inequalities and multipliers
- DMat0101, Notes 7: General Calderón-Zygmund Operators
- DMat0101, Notes 6: Introduction to singular integral operators; the Hilbert transform
- DMat0101, Notes 5: The Hardy-Littlewood maximal function
Categories
Blogroll
Dynamic web sites in Mathematics
People in Harmonic Analysis
Personal
Tag Archives: Fourier Transform
DMat0101, Notes 4: The Fourier transform of the Schwartz class and tempered distributions
In this section we go back to the space of Schwartz functions and we define the Fourier transform in this set up. This will turn out to be extremely useful and flexible. The reason for this is the fact that … Continue reading
DMat0101, Notes 3: The Fourier transform on L^1
1. Definition and main properties. For , the Fourier transform of is the function Here denotes the inner product of and : Observe that this inner product in is compatible with the Euclidean norm since . It is easy to … Continue reading
Posted in Dmat0101 - Harmonic Analysis, math.CA, Teaching
Tagged Abel summability, approximation to the identity, Fourier Transform, Gauss kernel, Gauss-Weierstrass summability, Harmonic extension, Heat equation, integrable functions, inversion formula, Poisson kernel, Riemann-Lebesgue, summability method
Leave a comment
Course Announcement DMat0101: Harmonic Analysis, PhD course at IST
This semester, starting the week 14-21 of February, I’m giving a course in Harmonic Analysis on the PhD level as part of the Doctoral Program in Mathematics at the Department of Mathematics at IST. I will use this blog in … Continue reading
