12 problems

Let $K$ be the compact Lie group considered in the paper, let $K_{\mathbb C}$ be its complexification, let $t>0$, and let $C_t$ denote the generalized Segal–Bargmann transform from…

Let $\pone$ denote the projective line, let $D(\pone)$ be the space of distributions on differential forms on $\pone$, and let ${\mc H}^{\on{out}}\subset D(\pone)$ be the construct…

Let $X$ be the model's target space, let $D(X)$ be the space of distributions on differential forms on $X$, and let ${\mc H}^{\on{in}}\subset D(X)$ be the canonically constructed s…

For $n,\ol{n}\geq 0$, let $\pone$ denote the projective line, let $D(\pone)$ be the space of distributions on differential forms on $\pone$, and let…

Let a special $m$-flag germ have singularity class … Let $c^i_j$ denote the constants appearing in its EKR normal form. Strong nilpotency conjecture. The germ is strongly nilpotent…

Let $D$ be a distribution with an EKR presentation, and consider the nilpotency orders associated with its EKR normal forms. Mormul's conjecture. For a given distribution $D$, the…

Let $\mathcal{F}^{\rm d}_{\rm tf}$ denote the quotient of the group of distributions by its torsion subgroup, and let $\mathcal{F}^{\rm c}$ denote the cyclotomic distributions gene…

Let $h$ be the grid function considered in Lemma, and let $\mathbb{D}$ denote the grid derivative appearing there. The source establishes the identities … and the corresponding sta…

Let $\Omega$ be a measurable set of finite Lebesgue measure, let $l$ be an embedding of distributions into grid functions, and let $l'$ be the embedding of grid functions into…

Let $F$ be the underlying field, let $1\leq k\leq n-2$ be integers, and for $m\leq l$ let $\mathcal{N}_{m,l}$ be the space of nilpotent matrices … Let $\mathbf{P}_l(F)$ denote the…

Let $f$ be a polynomial on ${\mathbf C}^n$. For ${\rm Re}(s)>0$, the function $|f(z)|^{2s}$ defines a distribution by integration against compactly supported smooth functions. Gelf…

Bros–Iagolnitzer conjecture. The analytic singular support (analytic wavefront set) of a distribution is decomposable.