Splitting the difference: Computations of the Reynolds operator in classical invariant theory
Abstract If G$G$ is a linearly reductive group acting rationally on a polynomial ring S$S$, then the inclusion SG↪S$S^{G} \hookrightarrow S$ possesses a unique G$G$‐equivariant splitting, called the Reynolds operator. We describe algorithms for computing the Reynolds operator for the classical actions as in Weyl's book.
Aryaman Maithani
wiley +1 more source
Digital Self-Interference Cancellation Strategies for In-Band Full-Duplex: Methods and Comparisons. [PDF]
Shahghasi A, Montoro G, Gilabert PL.
europepmc +1 more source
Plank theorems and their applications: A survey
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley +1 more source
Jacobi-Ritz formulation for modal analysis of thick, anisotropic and non-uniform electric motor stator assemblies considering axisymmetric vibration modes. [PDF]
Andreou P +3 more
europepmc +1 more source
The complementary polynomials and the Rodrigues operator of classical orthogonal polynomials [PDF]
Roberto S. Costas-Santos +1 more
openalex +1 more source
Zeros of multiple orthogonal polynomials: location and interlacing
Abstract We prove a criterion for the possible locations of zeros of type I and type II multiple orthogonal polynomials in terms of normality of degree 1 Christoffel transforms. We provide another criterion in terms of degree 2 Christoffel transforms for establishing zero interlacing of the neighboring multiple orthogonal polynomials of type I and type
Rostyslav Kozhan, Marcus Vaktnäs
wiley +1 more source
Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal. [PDF]
Fink A +3 more
europepmc +1 more source
The Davenport–Heilbronn method: 80 years on
Abstract The Davenport–Heilbronn method is a version of the circle method that was developed for studying Diophantine inequalities in the paper (Davenport and Heilbronn, J. Lond. Math. Soc. (1) 21 (1946), 185–193). We discuss the main ideas in the paper, together with an account of the development of the subject in the intervening 80 years.
Tim Browning
wiley +1 more source
Serendipity discrete complexes with enhanced regularity. [PDF]
Di Pietro DA, Hanot M, Salah M.
europepmc +1 more source

