9 problems

Gilbert's conjecture. There exist $\eta$ and $\mathfrak{H}_0$ such that

General Fueter-transform conjecture. An appropriately defined $\sigma$-th Fueter transform of $f$ is strongly $T_\sigma$-regular and is still a $T$-function.

Oddness-removal conjecture. The oddness hypotheses in the theorem and corollary might be removed.

Oddness-removal conjecture. The oddness hypotheses in the theorem and corollary should be removable; following Qian's approach, the corresponding Fueter transforms should still hav…

The discrete Fourier-transform conjecture. The mapping

Let $\{a_n\}_{n=1}^{\infty}$ be a sequence of distinct Clifford numbers in $B^{m+1}$, and let $T_{a_1,\ldots,a_n}$ be the functions obtained by the Gram–Schmidt orthogonalization p…

Let the Riemann–Hilbert problem for $(\varphi,\psi)$-harmonic functions be posed under the conditions considered for the smooth-boundary case, but without assuming smoothness of th…

Let $a,b$ be nonnegative integers with $a>b$. The space of harmonic polynomials $4\mathcal{H}^S_{a,b}(\mathbb{R}^{4p};\mathbb{C})4$ is the irreducible…

Let $\mathbb R_{0,m}$ be the real Clifford algebra, let $x=(x_0,\underline x)\in\mathbb R^{m+1}$, and let $\mathbf{P}_k(\underline x)$ be the prescribed homogeneous monogenic polyn…