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Dunham's user avatar
Dunham's user avatar
Dunham
  • Member for 9 years, 10 months
  • Last seen this week
10 votes

Incorrect reasoning during Taylor series derivation?

6 votes

Theorem 6.10 in Baby Rudin: If $f$ is bounded on $[a, b]$ with only finitely many points of discontinuity at which $\alpha$ is continuous, then

6 votes

Is the condition sufficient?

6 votes

Differentiability of the Cantor Function

6 votes
Accepted

When is a topological vector space “inner product-able”?

5 votes

modern calculus or analysis text that emphasizes Landau notation?

4 votes
Accepted

Differentiation in Besov–Zygmund spaces

4 votes

A method of finding the eigenvector that I don't fully understand

4 votes
Accepted

Let $f(x)=x\sin{(\pi x)}$. Spivak's solution manual seems to imply $f'(0)$ does not exist for this function. Why?

4 votes
Accepted

If sequences comprised of every nth element converge, does the original sequence converge?

3 votes

Positive definite kernel vs. positive definite function

3 votes
Accepted

Convolution operator positive definite?

3 votes

Determine whether the fourier series converges

3 votes
Accepted

Sum of functions and $L^p$ spaces

3 votes

Existence of a continuous function with zeros in a closed set

3 votes

Exercise $10$ of Chapter $4$ in Fourier Analysis by Stein & Shakarchi

3 votes

Theorem regarding the total variation measure

2 votes

Is the boundary of a compact set in $\mathbb{R}^n$ a null measure set?

2 votes
Accepted

Is the following proof for $\limsup a_n+b_n\ge\liminf a_n+\limsup b_n$ correct?

2 votes
Accepted

Question about Riemann-Stieltjes integral

2 votes

What is the infimal norm of a matrix in a conjugacy class?

2 votes
Accepted

Proof of Fréchet Differentiability - general instruction and specific problem

2 votes
Accepted

Completion of metric space (via formal limits of Cauchy sequences)

2 votes

Limit Points and Sequences

2 votes
Accepted

Hardy space on the upper plane

2 votes

Is $L^1(G)$ weak $*$ dense in $M(G)$

2 votes

What does the condition of $T_{3\frac{1}{2}}$ space mean exactly?

2 votes
Accepted

Does the Fourier coefficients of a function $f\in H^1(0,L)$ (the first order Sobolev space) are absolutely summable?

2 votes

Show that $A+A^{-1}\geq 2I$.

2 votes
Accepted

$ Av=0 $ is $ r(A)<m$ or $ r(A)<n$