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Let $R$ be a commutative ring with identity and $G$ a graph. An extending generalized spline on $G$ is a vertex labeling $f \in \prod_{v} M_v$, where for each edge $e=uv$ there exists an $R$-module $M_{uv}$ together with homomorphisms $…

Combinatorics · Mathematics 2025-12-02 Gökçen Dilaver , Selma Altinok

We propose a generalization of Schramm-Loewner evolution (SLE) that has internal degrees of freedom described by an affine Lie superalgebra. We give a general formulation of SLE corresponding to representation theory of an affine Lie…

Mathematical Physics · Physics 2018-07-25 Shinji Koshida

Multidimensional scaling (MDS) is a family of methods that embed a given set of points into a simple, usually flat, domain. The points are assumed to be sampled from some metric space, and the mapping attempts to preserve the distances…

Computational Geometry · Computer Science 2014-03-05 Yonathan Aflalo , Anastasia Dubrovina , Ron Kimmel

Generalized integral formulas involving the generalized Bessel-Maitland function are considered and it expressed in terms of generalized Wright hypergeometric functions. By assuming appropriate values of the parameters in the main results,…

Classical Analysis and ODEs · Mathematics 2016-05-31 M. S. Abouzaid , A. H. Abusufian , K. S. Nisar

For Legendrian links in the 1-jet space of $S^1$ we show that the 1-graded ruling polynomial may be recovered from the Kauffman skein module. For such links a generalization of the notion of normal ruling is introduced. We show that the…

Geometric Topology · Mathematics 2011-09-08 Mikhail Lavrov , Dan Rutherford

Following the approach outlined in [17], convergence to SLE$_6$ of the Exploration Processes for the correlated bond-triangular type models studied in [6] is established in [3] and the present work. In this second part, we focus on…

Mathematical Physics · Physics 2015-05-18 I. Binder , L. Chayes , H. K. Lei

This paper is devoted for the study of a new generalization of Struve function type. In this paper , We establish four new integral formulas involving the Galue type Struve function, which are express in term of the generalized (Wright)…

Classical Analysis and ODEs · Mathematics 2016-08-11 D. L. Suthar , S. D. Purohit , K. S. Nisar

We prove some weighted $L_p$ estimates for generalized harmonic extensions in the half-space.

Classical Analysis and ODEs · Mathematics 2019-03-08 Roberta Musina , Alexander I. Nazarov

We extend the construction of [19] by introducing spaces of generalized tensor fields on smooth manifolds that possess optimal embedding and consistency properties with spaces of tensor distributions in the sense of L. Schwartz. We thereby…

Functional Analysis · Mathematics 2012-05-31 Michael Grosser , Michael Kunzinger , Roland Steinbauer , James Vickers

The maximum likelihood estimator (MLE) is pivotal in statistical inference, yet its application is often hindered by the absence of closed-form solutions for many models. This poses challenges in real-time computation scenarios,…

Methodology · Statistics 2025-04-16 Pedro L. Ramos , Eduardo Ramos , Francisco A. Rodrigues , Francisco Louzada

We prove that, in the Baire category sense, a typical measure supported by a compact set admits a linear lower singularity spectrum. We investigate the same question for the upper singularity spectrum and for other forms of genericity.

Probability · Mathematics 2015-06-05 Frédéric Bayart

We study the task of semi-supervised learning on multilayer graphs by taking into account both labeled and unlabeled observations together with the information encoded by each individual graph layer. We propose a regularizer based on the…

Machine Learning · Computer Science 2019-10-31 Pedro Mercado , Francesco Tudisco , Matthias Hein

In this article, we construct generalized harmonic univalent mappings and find its coefficients bounds. We present the counterexample to validate the coefficient conjecture proposed by Clunie and Sheil-Small for the class of functions…

Complex Variables · Mathematics 2026-02-17 Omendra Mishra , Asena Çetinkaya

In this paper, we give a new characterization of generalized Browder's theorem by considering equality between the generalized Drazin-meromorphic Weyl spectrum and the generalized Drazin-meromorphic spectrum. Also, we generalize Cline's…

Spectral Theory · Mathematics 2019-05-07 Anuradha Gupta , Ankit Kumar

In generalized complex geometry, we revisit linear subspaces and submanifolds that have an induced generalized complex structure. We give an expression of the induced structure that allows us to deduce a smoothness criteria, we dualize the…

Differential Geometry · Mathematics 2015-07-22 Izu Vaisman

In this paper, we determine the two normalized Laplacian spectrum of generalized subdivision- vertex corona, subdivision-edge corona for a connected regular graph with an arbitrary reg- ular graph in terms of their normalized Laplacian…

Combinatorics · Mathematics 2018-07-12 Qun Liu , Zhongzhi Zhang

We derive a complete asymptotic expansion of generalized Witten integrals for Hamiltonian circle actions on arbitrary symplectic manifolds, characterizing the coefficients in the expansion as integrals over the symplectic strata of the…

Symplectic Geometry · Mathematics 2021-03-19 Benjamin Küster , Pablo Ramacher

The main theorem of this paper is a result of estimated transversality with respect to stratifications of jet spaces in the approximately holomorphic category over an almost-complex manifold. The notion of asymptotic ampleness of complex…

Symplectic Geometry · Mathematics 2007-05-23 Denis Auroux

In this paper, we investigate the invertibility of generalized g-Bessel multipliers. We show that for semi-normalized symbols, the inverse of any invertible generalized g-frame multiplier can be represented as a generalized g-frame…

Functional Analysis · Mathematics 2019-06-18 M. Abolghasemi , Y. Tolooei , Z. Moosavianfard

Let $M$ be a finite module and let $I$ be an arbitrary ideal over a Noetherian local ring. We define the generalized Hilbert function of $I$ on $M$ using the 0th local cohomology functor. We show that our definition re-conciliates with that…

Commutative Algebra · Mathematics 2012-02-21 Claudia Polini , Yu Xie