Box splines and the equivariant index theorem

DOI10.1017/S1474748012000734zbMath1273.65017arXiv1012.1049OpenAlexW2962696333MaRDI QIDQ2841759

Michèle Vergne, Claudio Procesi, Corrado De Concini

Publication date: 30 July 2013

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.1049

zbMATH Keywords

splinesRiemann-Rochelliptic operatorsdeconvolutionequivariant cohomologyequivariant \(K\)-theoryindex theorypseudo-differential operatorbox splinesTodd class

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Equivariant (K)-theory (19L47) Index theory (19K56) Riemann-Roch theorems, Chern characters (19L10)

Related Items

The equivariant Riemann-Roch theorem and the graded Todd class, Splines and index theorem, On a Conjecture of Holtz and Ron Concerning Interpolation, Box Splines, and Zonotopes, Projections of orbital measures and quantum marginal problems, Infinitesimal index: cohomology computations, Kirillov's formula and Guillemin-Sternberg conjecture, Geometric realizations and duality for Dahmen-Micchelli modules and De Concini-Procesi-Vergne modules, Box splines, tensor product multiplicities and the volume function, Splines, lattice points, and arithmetic matroids

Cites Work

• Vector partition functions and index of transversally elliptic operators
• Vector partition functions and generalized Dahmen and Micchelli spaces
• A remark on the convolution with the box spline
• Infinitesimal index: cohomology computations
• On the geometry of toric arrangements
• Elliptic operators and compact groups
• The Chern character of a transversally elliptic symbol and the equivariant index
• The equivariant index of transversally elliptic operators
• The index of elliptic operators. I
• The index of elliptic operators. II
• The index of elliptic operators. III
• The Equivariant Index and Kirillov's Character Formula
• Residue formulae, vector partition functions and lattice points in rational polytopes