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We report on a recent computation of the form factors in semi-leptonic decays of the $\mathrm{B}_\mathrm{s}$ using Heavy Quark Effective Theory (HQET) formalism applied on the lattice. The connection of the form factors with the 2-point and…

High Energy Physics - Lattice · Physics 2017-01-18 Debasish Banerjee

For bicovariant differential calculi on quantum matrix groups a generalisation of classical notions such as metric tensor, Hodge operator, codifferential and Laplace-Beltrami operator for arbitrary k-forms is given. Under some technical…

Quantum Algebra · Mathematics 2007-05-23 I. Heckenberger

In applying large-momentum effective theory, renormalization of the Euclidean correlators in lattice regularization is a challenge due to linear divergences in the self-energy of Wilson lines. Based on lattice QCD matrix elements of the…

In this paper, the quasi-constant modulus (QCM) property is analyzed and leveraged in the design of nonlinearity-tolerant four-dimensional (4D) modulation formats. Accordingly, we propose a family of QCM-based quadrature amplitude…

Signal Processing · Electrical Eng. & Systems 2026-04-21 Junzhe Xiao , Zekun Niu , Lyu Li , Minghui Shi , Weisheng Hu , Lilin Yi

In this paper we study quasi-homogeneous operators, which include the homogeneous operators, in the Cowen-Douglas class. We give two separate theorems describing canonical models (with respect to equivalence under unitary and invertible…

Functional Analysis · Mathematics 2014-07-08 Chunlan Jiang , Kui Ji , Gadadhar Misra

Let $a$ be a semi-almost periodic matrix function with the almost periodic representatives $a_l$ and $a_r$ at $-\infty$ and $+\infty$, respectively. Suppose $p:\mathbb{R}\to(1,\infty)$ is a slowly oscillating exponent such that the Cauchy…

Functional Analysis · Mathematics 2011-06-06 Alexei Yu. Karlovich , Ilya M. Spitkovsky

Constacyclic and quasi-twisted Hermitian self-dual codes over finite fields are studied. An algorithm for factorizing $x^n-\lambda$ over $\mathbb{F}_{q^2}$ is given, where $\lambda$ is a unit in $\mathbb{F}_{q^2}$. Based on this…

Rings and Algebras · Mathematics 2016-01-05 Ekkasit Sangwisut , Somphong Jitman , Patanee Udomkavanich

Quasidiagonal operators on a Hilbert space are a large and important class (containing all self-adjoint operators for instance). They are also perfectly suited for study via the finite section method (a particular Galerkin method). Indeed,…

Numerical Analysis · Mathematics 2025-10-20 Nathanial P. Brown

The rapid growth of multimodal intelligence on resource-constrained and heterogeneous domestic hardware exposes critical bottlenecks: multimodal feature heterogeneity, real-time requirements in dynamic scenarios, and hardware-specific…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Haijian Shao , Wei Liu , Xing Deng

This work develops a magnetic pseudodifferential calculus for super operators OpA(F); these map operators onto operators (as opposed to Lp functions onto Lq functions). Here, F could be a tempered distribution or a H\"ormander symbol. An…

Mathematical Physics · Physics 2022-11-09 Gihyun Lee , Max Lein

In this work we study the essential spectra of composition operators on weighted Bergman spaces of analytic functions which might be termed as "quasi-parabolic." This is the class of composition operators on $A_{\alpha}^{2}$ with symbols…

Functional Analysis · Mathematics 2018-03-01 Uğur Gül

We study an analogy between quasi-F-split and Hodge-Witt. In particular, we show that the fiber product of an F-split scheme and a quasi-F-split scheme is quasi-F-split and, in converse, if the fiber product is quasi-F-split then one of the…

Algebraic Geometry · Mathematics 2023-12-04 Fuetaro Yobuko

Fredholm integral operators that commute with the Hamiltonians of certain quantum mechanical problems with quartic potentials are introduced. The operators are expressed in terms of an Airy function, and their eigenvalues fall off…

High Energy Physics - Theory · Physics 2026-03-13 Ori J. Ganor

Quasi parton distribution functions (QPDFs) are defined in terms of QCD fields at spacelike separations evaluated in matrix elements of hadrons moving with velocity $v$. These objects can be studied in lattice QCD. In the limit when $v$…

High Energy Physics - Phenomenology · Physics 2026-05-13 Fatma Aslan , Asli Tandogan , Peter Schweitzer

We construct a dyadic microlocal partition adapted to a position-dependent fiber metric on phase space. Under uniform ellipticity, the associated fiber norm is equivalent to the Euclidean one; the main effect of the construction is…

Analysis of PDEs · Mathematics 2026-05-12 Vicente Vergara

In a graph $A$, the measure $|M_g^A(f)|=m_g^A(f)$ for each arbitrary edge $f=gh$ counts the edges in $A$ closer to $g$ than $h$. $A$ is termed an edge quasi-$\lambda$-distance-balanced graph in a metric space (abbreviated as $EQDBG$), where…

Combinatorics · Mathematics 2024-06-19 Zohreh Aliannejadi , Somayeh Shafiee Alamoti

We will give a complete description of $\mathcal{I}$, the set of invertible quasicontinuous functions on the unit circle. After doing this, we will then classify the path-connected components of $\mathcal{I}$ and show that $\mathcal{I}$ has…

Functional Analysis · Mathematics 2016-05-05 Adam Orenstein

Measurements of the $\Lambda_b \to p \ell^- \bar{\nu}_\ell$ and $\Lambda_b \to \Lambda_c \ell^- \bar{\nu}_\ell$ decay rates can be used to determine the magnitudes of the CKM matrix elements $V_{ub}$ and $V_{cb}$, provided that the relevant…

High Energy Physics - Lattice · Physics 2015-08-05 William Detmold , Christoph Lehner , Stefan Meinel

We consider two types of multilinear pseudodifferential operators. First, we prove the boundedness of multilinear pseudodifferential operators with symbols which are only measurable in the spatial variables in weighted Lebesgue spaces.…

Classical Analysis and ODEs · Mathematics 2012-06-22 Nicholas Michalowski , David J. Rule , Wolfgang Staubach

Decomposition theorems in classical Fourier analysis enable us to express a bounded function in terms of few linear phases with large Fourier coefficients plus a part that is pseudorandom with respect to linear phases. The Goldreich-Levin…

Data Structures and Algorithms · Computer Science 2019-06-14 Madhur Tulsiani , Julia Wolf