Zobrazeno 1 - 10
of 16 735
pro vyhledávání: '"series representations"'
Autor:
Szpruch, Dani
Let $F$ be a $p$-adic field containing the full group of $n^{th}$ roots of 1 and let $ \widetilde{SL_2(F)}$ be the $n$-fold cover of $SL_2(F)$ constructed by Kubota. In this paper we compute the dimension of the space of Whittaker functionals of the
Externí odkaz:
http://arxiv.org/abs/2411.11460
Autor:
Wakimoto, Minoru
In this paper we show that, for the Deligne exceptional series representations of negative integer level of affine Lie algebras, the quantum Hamiltonian reduction vanishes except for the cases where the nilpotent element is conjugate to $e_{-\theta}$
Externí odkaz:
http://arxiv.org/abs/2408.16560
Autor:
Xu, Mingzhou
Using a pointwise version of Fej\'{e}r's theorem about Fourier series, we obtain two formulae related to the series representations of positive integral powers of $\pi$. We also check the correctness of our formulae by the applications of the R softw
Externí odkaz:
http://arxiv.org/abs/2405.12248
Existing approaches for learning representations of time-series keep the temporal arrangement of the time-steps intact with the presumption that the original order is the most optimal for learning. However, non-adjacent sections of real-world time-se
Externí odkaz:
http://arxiv.org/abs/2405.20082
Autor:
Gurevich, Maxim
We obtain two explicit formulas for the full local character expansion of any irreducible representation of a p-adic general linear group in principal blocks. The first, generalizing previous work of the author on the Iwahori-spherical case, expresse
Externí odkaz:
http://arxiv.org/abs/2405.16872
Advancements in self-supervised pre-training (SSL) have significantly advanced the field of learning transferable time series representations, which can be very useful in enhancing the downstream task. Despite being effective, most existing works str
Externí odkaz:
http://arxiv.org/abs/2403.12372
The aim of this article is to construct a specific Poisson transform mapping differential forms on the sphere $S^{2n+1}$ endowed with its natural CR structure to forms on complex hyperbolic space. The transforms we construct have values that are harm
Externí odkaz:
http://arxiv.org/abs/2402.08262
Autor:
Qi, Feng1,2,3 (AUTHOR) honest.john.china@gmail.com
Publikováno v:
Symmetry (20738994). Sep2024, Vol. 16 Issue 9, p1145. 21p.
Autor:
Ishimoto, Hiroshi
In our previous paper we gave proofs of Ibukiyama's correspondences on holomorphic Siegel modular forms of degree 2 of half-integral weight and integral weight. In this paper, we formulate and prove similar correspondences on automorphic forms on $\o
Externí odkaz:
http://arxiv.org/abs/2312.06921