Weighted V-line transforms map a symmetric tensor field of order m\ge0 to a linear combination of certain integrals of those fields along two rays emanating from the same vertex. A significant focus of current research in ...

We introduce and study a new integral ray transform called the head wave transform. The head wave transform integrates a function along a piecewise linear (in general geodesic) path consisting of three parts. The geometry ...

In this article, we define a family of C∗-algebras that are generated by a finite set of unitaries and isometries satisfying certain twisted commutation relations and prove their K-stability. This family includes the ...

Let \( m, n \in \mathbb{N}_0 \), and let \( X \) be a closed subset of \( \mathbb{T}^{\binom{m+n}{2}} \). We define \( C^{m,n}_X \) to be the universal \( C^* \)-algebra among those generated by \( m \) unitaries and \( n ...

Page 27 of Ramanujan’s Lost Notebook contains a beautiful identity which, as shown by Andrews, not only gives a famous modular relation between the Rogers–Ramanujan functions G(q) and H(q) as a corollary but also a relation ...

We obtain Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients in half-braidings for a monoidal functor. Our approach uses a formal analogy between half-braidings of a monoidal functor and the entwining ...

A new sums-of-tails identity involving two parameters b and d is obtained and is used to derive more results of similar type. One of Ramanujan's sums-of-tails identities from the Lost Notebook is shown to be a special case ...