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We are studying the fundamental tools for a quantum calculus based on the Tsallis $q$-exponential In particular we are looking at $q$-Fock spaces, structural identities, as well as rational functions in this context.

Functional Analysis · Mathematics 2025-05-22 Daniel Alpay , Paula Cerejeiras , Uwe Kaehler

In this paper configuration spaces of smooth manifolds are considered. The accent is made on actions of certain groups (mostly $p$-tori) on this spaces by permuting their points. For such spaces the cohomological index, the genus in the…

Algebraic Topology · Mathematics 2011-07-06 R. N. Karasev

We perform some analytic continuations of the de Sitter thick domain wall solutions obtained in our previous paper hep-th/0201130 in the system of gravity and a scalar field with an axion-like potential. The obtained new solutions represent…

High Energy Physics - Theory · Physics 2009-11-07 Naoki Sasakura

We consider spatial discretizations by the finite section method of the restricted group algebra of a finitely generated discrete group, which is represented as a concrete operator algebra via its left-regular representation. Special…

Operator Algebras · Mathematics 2010-02-23 Steffen Roch

We investigate more closely the class of generalized b-weakly compact operators on locally convex-solid Riesz spaces and we provide new sequential and operator characterizations in relation with the subject. We introduce explicitly the…

Functional Analysis · Mathematics 2026-03-09 Nabil Machrafi , Birol Altin

We extend the Koopman-von Neumann convergence condition on the Ces\`{a}ro mean to the context of a Dedekind complete Riesz space with weak order unit. As a consequence, a characterisation of conditional weak mixing is given in the Riesz…

Functional Analysis · Mathematics 2020-10-26 Jonathan Homann , Wen-Chi Kuo , Bruce A. Watson

The aim of this paper is to study co-prolongations of central extensions. We construct the obstruction theory for co-prolongations and classify the equivalence classes of these by kernels of a homomorphisms between 2-dimensional cohomology…

Group Theory · Mathematics 2013-09-13 Nguyen Tien Quang , Doan Trong Tuyen , Nguyen Thi Thu Thuy

In this paper, we introduce cone normed linear space, study the cone convergence with respect to cone norm. Finally, we prove the completeness of a finite dimensional cone normed linear space.

General Mathematics · Mathematics 2010-09-14 T. K. Samanta , Sanjay Roy , Bivas Dinda

We study two classes of spaces whose points are filters on partially ordered sets. Points in MF spaces are maximal filters, while points in UF spaces are unbounded filters. We give a thorough account of the topological properties of these…

General Topology · Mathematics 2014-12-15 Carl Mummert , Frank Stephan

In this article, we study spectral Barron spaces whose elements are made up of some vector-valued functions on a compact group whose Fourier transforms admit a certain summability property. We investigate their functional properties and…

Functional Analysis · Mathematics 2026-05-22 Yaogan Mensah , Isiaka Aremua

This work deals with the topological classification of germs of singular foliations on $(\mathbb C^{2},0)$. Working in a suitable class of foliations we fix the topological invariants given by the separatrix set, the Camacho-Sad indices and…

Dynamical Systems · Mathematics 2017-09-19 David Marín , Jean-François Mattei , Éliane Salem

We examine the fixed space of positive trace-preserving super-operators. We describe a specific structure that this space must have and what the projection onto it must look like. We show how these results, in turn, lead to an alternative…

Quantum Physics · Physics 2011-09-16 Ansis Rosmanis

The aim of this paper is introduce and initiate the study of extremally $T_1$-spaces, i.e., the spaces where all hereditarily compact $C_2$-subspaces are closed. A $C_2$-space is a space whose nowhere dense sets are finite.

General Topology · Mathematics 2007-05-23 Julian Dontchev , Maximilian Ganster , Laszlo Zsilinszky

In this article we study the Ces\`{a}ro operator $$ \mathcal{C}(f)(z)=\frac{1}{z}\int_{0}^{z}f(\zeta)\,d\zeta, $$ and its companion operator $\mathcal{T}$ on Hardy spaces of the upper half plane. We identify $\mathcal{C}$ and $\mathcal{T}$…

Complex Variables · Mathematics 2010-06-09 Athanasios G. Arvanitidis , Aristomenis G. Siskakis

Let (G, V) be a prehomogeneous vector space, let O be any G(F_q)-invariant subset of V(F_q), and let f be the characteristic function of O. In this paper we develop a method for explicitly and efficiently evaluating the Fourier transform of…

Number Theory · Mathematics 2018-11-29 Takashi Taniguchi , Frank Thorne

We discuss supernear spaces.

General Topology · Mathematics 2007-05-23 D. Leseberg

While Calabi-Yau hypersurfaces in toric ambient spaces provide a huge number of examples, theoretical considerations as well as applications to string phenomenology often suggest a broader perspective. With even the question of finiteness…

High Energy Physics - Theory · Physics 2009-08-03 Maximilian Kreuzer

In this paper, we are primarily concerned with the study of entire and analytical solutions of abstract degenerate (multi-term) fractional differential equations with Caputo time-fractional derivatives. We also analyze systems of such…

Functional Analysis · Mathematics 2018-09-10 Marko Kostic

We investigate the meromorphic quasi-modular forms and their $L$-functions. We study the space of meromorphic quasi-modular forms. Then we define their $L$-functions by using the technique of regularized integral. Moreover, we give an…

Number Theory · Mathematics 2022-02-22 Weijia Wang , Hao Zhang

We study the space of multilinear invariants \( V_f \) of degree \( f \) for a specified finite unitary reflection group. A subspace \( W_f \) of typical invariants is also introduced. We note that the dimension of \( W_f \) is given by…

Combinatorics · Mathematics 2025-08-15 A. K. M. Selim Reza , Manabu Oura , Masashi Kosuda
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