On The Lp Boundedness of Reisz Projections and Its Implications on The Fourier Series
Proof of Convergence of the Partial Sums of the Fourier Series in Lp for 1<p<∞
On the Convergence of Fejér Means in Lp
Generalization and Application of Theorem 8.14 (Folland)
On Optimal Policies for Finite Horizon Markov Decision Problems
Extra theorems for chapter 4 of Martin L. Puterman’s “Markov Decision Processes“
On the Convolution of Distributions with Compactly Supported Smooth Functions
Alternate Proof of Theorem 6.30 (Rudin’s Functional Analysis) Without Vector-Valued Integration
Fundamental Solution of the Laplacian In All Dimensions
Finding the fundamental solution to the Laplacian in lower and higher dimensions
The Fourier Transform of the Principal Value Distribution And Some Others
Solution to exercise 19 of chapter 9 of Folland’s text book
Proving that a Function is the Fourier Transform of an L1 Function
Proving that a special function g is the Fourier Transform of an L1 function
Non-Surjectivity of the Fourier Transform
A Proof that the Fourier transform from L1 to C0 is not Surjective
Hessians And The Order of Partial Derivatives
When Can You Flip the Order of Partial Derivatives?
On The Local Convexity of Lp Spaces for 0<p<1
Theorems on the relationship between the dimensionality of Lp spaces and underlying measures