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arXiv:2603.00524v1 Announce Type: new Abstract: Two-dimensional noncommutative quantum mechanics (NCQM) is often formulated through linear transformations of represented position and momentum operators and through Darboux-type...
arXiv:2603.00553v1 Announce Type: new Abstract: This paper is a follow-up to Maruyama and Strawderman (2006, Journal of Statistical Planning and Inference), which identified a new...
arXiv:2603.00556v1 Announce Type: new Abstract: We develop a phase-space framework for fractional generalised anharmonic oscillators and their heat semigroups on weighted modulation spaces. We consider...
arXiv:2603.00557v1 Announce Type: new Abstract: Concerning huge-scale aggregative convex programming of a linear objective subject to the affine constraints of equality and inequality and the...
arXiv:2603.00559v1 Announce Type: new Abstract: We define the big crystalline site for a log scheme and prove the basic properties. In particular, we show the...
arXiv:2603.00561v1 Announce Type: new Abstract: It is known that the complex $k$-Hessian equation admits almost $C^{1,1}$ regularity (i.e., $\sup\Delta u
arXiv:2603.00564v1 Announce Type: new Abstract: The Riemann-Wirtinger integral is an analogue of the hypergeometric integral defined on a one-dimensional complex torus. As a generalization, we...
arXiv:2603.00571v1 Announce Type: new Abstract: The fundamental relationship between the partial quotients $b_{n+1}$ of an algebraic irrational $\alpha = \sqrt[m]{k}$ and its corresponding algebraic form...
arXiv:2603.00577v1 Announce Type: new Abstract: The Wirtinger integral is one of the integral representations of the Gauss hypergeometric function. Its integrand can be regarded as...
arXiv:2603.00583v1 Announce Type: new Abstract: For a locally compact Hausdorff space $L$, we denote by $C_0(L,\mathbb{R})$ the Banach space of all continuous real-valued functions on...
arXiv:2603.00593v1 Announce Type: new Abstract: We study edge partitions of a bipartite graph into induced-$2K_2$-free bipartite graphs, i.e.\ into Ferrers (chain) graphs. We define $\fp(G)$...
arXiv:2603.00594v1 Announce Type: new Abstract: In this paper, we consider the integrating factor midpoint method for wave-type equations and derive optimal order a posteriori error...
arXiv:2603.00603v1 Announce Type: new Abstract: We first introduce a new presentation for the mirabolic Hecke algebra $\mathscr{H}_{n,R}(q)$ over an arbitrary commutative ring $R$ and derive...
arXiv:2603.00605v1 Announce Type: new Abstract: For $\alpha \in [0,1]$, the $A_{\alpha}$-matrix of graph $G$ is $A_{\alpha}(G) = \alpha D(G) + (1- \alpha) A(G)$, where $A(G)$...
arXiv:2603.00639v1 Announce Type: new Abstract: In this paper, we introduce the notion of (strictly) semimonotone matrices of exact order $k$, where $0\leq k\leq n$, and...
arXiv:2603.00642v1 Announce Type: new Abstract: In the present paper, we consider Presburger arithmetic PrA and the theory of real closed fields RCF. Due to quantifier...
arXiv:2603.00644v1 Announce Type: new Abstract: The primal dual hybrid gradient algorithm (PDHG), which is also known as the Arrow-Hurwicz method, is a fundamental algorithm for...
arXiv:2603.00645v1 Announce Type: new Abstract: In the paper we introduce Orlicz type functional spaces defined in terms of nonlocal convolution type integral functionals and study...
arXiv:2603.00658v1 Announce Type: new Abstract: We introduce a novel deterministic fractal set PF in the unit interval whose construction is driven by the sequence of...
arXiv:2603.00659v1 Announce Type: new Abstract: In this paper, we prove a generalized reverse H\"older inequality of harmonic functions on cable systems induced by post-critically finite...
arXiv:2603.00660v1 Announce Type: new Abstract: In this paper, it is proved that, for any $\gamma_1,\gamma_2,\gamma_3,\gamma_4,\gamma_5\in(\frac{28}{29},1)$, every sufficiently large integer $n$ subject to $n\equiv5\pmod{24}$ can be...
arXiv:2603.00661v1 Announce Type: new Abstract: For an exchangeable Bernoulli sequence with de Finetti mixing measure Pi, the k-step predictive probability P(X_{n+1}=...=X_{n+k}=0 | F_n) equals the...
arXiv:2603.00664v1 Announce Type: new Abstract: A transversal coalition in a hypergraph $H$ is a partition of the vertex set $U$ into two subsets $U_1$ and...
arXiv:2603.00671v1 Announce Type: new Abstract: In this paper, the Cauchy problem for a one-dimensional heat conducting compressible non-Newtonian fluid is considered. The constitute equation of...