Unifying spherical convolutions through lifting HV9KKEBBDD
| URI | m2://res/HV9KKEBBDD |
|---|---|
| Kind | preprint |
| Creators | J. D. McEwen |
| Date | 2026-10-09 |
| MSC | 81-XX |
| Subjects | arxiv math-ph, arxiv astro-ph.CO, arxiv math.MP, arxiv physics.ao-ph |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-09 |
| Ids | arXiv 2610.13892 |
Items in this resource
The mentions of the inventory that name this resource. Each name links to the card of its inventory row.
| Item | Kind | Where | Source |
|---|---|---|---|
| Incompatibility of directional kernels, spherical output and equivariance | statement | corollary V.7 | arxiv |
| Harmonic multiplication and sifting | statement | proposition VII.2 | arxiv |
| Directional convolution | definition | definition III.3 | arxiv |
| Convolution on the rotation group | statement | proposition VI.7 | arxiv |
| Evaluation on a section | statement | proposition VII.1 | arxiv |
| Directional convolutions | statement | proposition VI.1 | arxiv |
| Axisymmetric spin convolution | definition | definition III.6 | arxiv |
| Equivariant projections and lifts | statement | corollary V.6 | arxiv |
| Axisymmetric convolution | statement | proposition VI.3 | arxiv |
| Commutative anisotropic convolution | definition | definition III.8 | arxiv |
| Harmonic form | statement | theorem V.2 | arxiv |
| Azimuthally band-limited and steerable kernels | statement | proposition VI.6 | arxiv |
| Left convolution of Driscoll \& Healy | definition | definition III.2 | arxiv |
| Standard correlation | definition | definition III.7 | arxiv |
| Lossless projection and kernel constraint | statement | corollary V.4 | arxiv |
| Axisymmetric convolution | definition | definition III.1 | arxiv |
| Functions on $\SOthree$ as tuples of spin fields | statement | corollary IV.12 | arxiv |
| Mackey functions | definition | definition IV.4 | arxiv |
| Synthesis and transpose convolution | statement | proposition VI.2 | arxiv |
| Left convolution | statement | proposition VI.4 | arxiv |
| Generalised lifted convolution | definition | definition V.1 | arxiv |
| Harmonic multiplication and sifting convolution | definition | definition III.9 | arxiv |
| Classification | statement | theorem V.5 | arxiv |
| Group convolution on $\SOthree$ | definition | definition III.4 | arxiv |
| Induced representation | definition | definition IV.9 | arxiv |
| Composition | statement | proposition V.3 | arxiv |
| Directional spin convolution | definition | definition III.5 | arxiv |
| Spin-changing operators of mathematical physics | statement | proposition VI.8 | arxiv |
| Synthesis or transpose convolution | definition | definition III.10 | arxiv |
| Composition of twists | statement | lemma IV.3 | arxiv |
| Structure of the lift | statement | lemma IV.7 | arxiv |
| Twist | definition | definition IV.2 | arxiv |
| Lift and projection | definition | definition IV.6 | arxiv |
| Spin-changing convolutions | statement | proposition VI.5 | arxiv |
| Intertwining and explicit form | statement | proposition IV.10 | arxiv |
Catalogue records
- arxiv: 2610.13892 (work)
- arxiv_text: 2610.13892 (work)