# Step functions on a plane

In this post, I give a possible definition for step functions in ${\mathbb{R}^2}$ and a related problem and its possible solution. 1. Problem Let \$latex {\alpha(s) = (x(s),y(s))…

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# A Jumping Fourier

Let ${f:\mathbb{R}\rightarrow\mathbb{R}}$, ${f(t) = 0, t<0}$. Let ${f \in L^2(\mathbb{R})}$ and is locally BV *and let its derivatives…

Source: A Jumping Fourier

# A Jumping Fourier

Let ${f:\mathbb{R}\rightarrow\mathbb{R}}$, ${f(t) = 0, t<0}$. Let ${f \in L^2(\mathbb{R})}$ and is locally BV *and let its derivatives…

Source: A Jumping Fourier