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Kernel_Dirichlet
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7 votes
0 answers
1k views

Weak analogues of gradient, divergence, and curl (collecting examples)

5 votes
1 answer
2k views

Nonlinear transport equation solution breakdown

4 votes
1 answer
298 views

Examples of $C^1(\mathbb{R}^2)$ functions where mixed partials are equal nowhere

3 votes
2 answers
135 views

Completion of a metric space with respect to an unusual metric

3 votes
1 answer
995 views

Conservation law and entropy condition problem

2 votes
0 answers
73 views

Constructing a fractal

2 votes
2 answers
127 views

Questions about an unusual metric space

2 votes
1 answer
172 views

Question about an unusual inner product

2 votes
1 answer
151 views

Question about relationship between $\ell^ p$ spaces and Fourier coefficients.

1 vote
1 answer
203 views

Is there a way to turn a dense set of functions in $L^2([a,b])$ into an orthonormal set?

1 vote
1 answer
1k views

What can be said about an $L^2$ function whose Fourier series is zero almost everywhere?

1 vote
1 answer
299 views

Continuous embeddings of $C(a,b)$ into itself with $L^p$ norms.

1 vote
1 answer
292 views

Thomae's function variant

1 vote
1 answer
544 views

cleaning up proof that Thomae's function is not $BV([0,1])$

1 vote
2 answers
286 views

Understanding Distributions

1 vote
0 answers
42 views

inhomogenous Fredholm equation

1 vote
0 answers
71 views

How can we handle this exponential integral?

1 vote
1 answer
152 views

Similarity method Transport equation

1 vote
0 answers
84 views

Partitioning an open set into a convex and non-convex set

1 vote
0 answers
71 views

Fredholm equation for non-relativistic scattering

1 vote
1 answer
95 views

Construct a sequence of simple functions converging to $f\in C([a,b])$

0 votes
1 answer
244 views

Countable subadditivity of $L^p$ norms (proof check)

0 votes
1 answer
435 views

Eigenvalues of Fredholm Integral problem

0 votes
0 answers
463 views

Optimal Poincare constant in $W^{1,p}(\Omega)$

0 votes
1 answer
1k views

Construction and properties of a fat Cantor set (HW question)

0 votes
0 answers
74 views

Question mark function not absolutely continuous

0 votes
0 answers
70 views

Old real analysis exam question about convergence of an unusual sequence of functions in $C(a,b)$

0 votes
1 answer
147 views

Question about computing variation of some functions

0 votes
1 answer
877 views

Computing decay of Fourier coefficients

0 votes
1 answer
518 views

Contraction mappings in $L^p$ and other function spaces