Wulan, Hasi Zhou, Jizhen
Published in
Forum Mathematicum

Decomposition theorems for QK spaces of analytic functions are established. As an application, we give a characterization of interpolation by functions in QK spaces.

Smith, Larry
Published in
Forum Mathematicum

We show how to compute a Macaulay dual class in local cohomology H đȘ n (đœ[V])$\hspace*{-0.56905pt}H^n_\mathfrak {m}(\mathbb {F}[V])\hspace*{-0.85358pt}$ for an given ideal I(đź)âđœ[V]$I(\mathcal {S}) \subset \mathbb {F}[V]$ of generalized invariants associated to a set of reflections đźâGL(n,đœ)$\mathcal {S} \subset \text{GL}(n, \mathbb {F})$ that gene...

Hough, Bob
Published in
Forum Mathematicum

We consider the logarithm of the central value logL(1/2)$\log L(1/2)$ in the orthogonal family {L(s,f)} fâH k $\lbrace L(s,f)\rbrace _{f \in H_k}$ where Hk is the set of weight k Hecke-eigen cusp forms for SL 2 (â€)$\text{SL}_2(\mathbb {Z})$ , and in the symplectic family {L(s,Ï 8d )} dâD $\lbrace L(s,\chi _{8d})\rbrace _{d \asymp D}$ where Ï 8d $\c...

Jang, Juhi Li, Dong Zhang, Xiaoyi
Published in
Forum Mathematicum

The EulerâPoisson system is a fundamental two-fluid model to describe the dynamics of the plasma consisting of compressible electrons and a uniform ion background. By using the dispersive KleinâGordon effect, Guo (1998) first constructed a global smooth irrotational solution in the three-dimensional case. It has been conjectured that same results s...

Bell, Jason Casteels, Karel Launois, StĂ©phane
Published in
Forum Mathematicum

The aim of this paper is to study the representation theory of quantum Schubert cells. Let đ€$\mathfrak {g}$ be a simple complex Lie algebra. To each element w of the Weyl group W of đ€$\mathfrak {g}$ , De Concini, Kac and Procesi have attached a subalgebra U q [w]$U_q[w]$ of the quantised enveloping algebra U q (đ€)$U_q(\mathfrak {g})$ . Recently, Ya...

Goldberg, David Shahidi, Freydoon
Published in
Forum Mathematicum

We study the tempered spectrum of special orthogonal groups of odd degree over p-adic fields of characteristic zero. Residues of intertwining operators for representations parabolically induced from arbitrary maximal parabolic subgroups are determined in terms of non-vanishing of weighted sums of twisted orbital integrals. This is connected with th...

Conti, Diego FernĂĄndez, Marisa Santisteban, JosĂ© A.
Published in
Forum Mathematicum

We answer in the affirmative a question posed by Ivanov and Vassilev on the existence of a seven-dimensional quaternionic contact manifold with closed fundamental 4-form and non-vanishing torsion endomorphism. Moreover, we show an approach to the classification of seven-dimensional solvable Lie groups having an integrable left invariant quaternioni...

Komori, Yasushi Matsumoto, Kohji Tsumura, Hirofumi
Published in
Forum Mathematicum

We consider certain double series of Eisenstein type involving hyperbolic-sine functions. We define certain generalized Hurwitz numbers, in terms of which we evaluate those double series. Our main results can be regarded as a certain generalization of well-known results of Hurwitz, Herglotz, Katayama and so on. Our results also include recent formu...

Muro, Fernando Tonks, Andrew
Published in
Forum Mathematicum

We construct a topological cellular operad such that the algebras over its cellular chains are the homotopy unital A-infinity algebras of FukayaâOhâOhtaâOno.

Baklouti, Ali Inoue, Junko
Published in
Forum Mathematicum

This paper aims to prove that the norm of the Lp-Fourier transform of the semidirect product â n âK$\mathbb {R}^n\rtimes K$ is A p n $A_p^{n}$ , where 1