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Main Author:	Beauduin, Kei
Format:	Preprint
Published:	2025
Subjects:	Combinatorics Classical Analysis and ODEs 05A40, 47B99, 13F25, 39B12, 47B33
Online Access:	https://arxiv.org/abs/2512.04638
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A general identity for umbral operators and a special subclass
by: Beauduin, Kei
Published: (2026)

A characterization of differential operators in the ring of complex polynomials
by: Fechner, Włodzimierz, et al.
Published: (2023)

Operational Umbral Calculus
by: Beauduin, Kei
Published: (2024)

Second-order derivations of function spaces -- a characterization of second-order differential operators
by: Fechner, Włodzimierz, et al.
Published: (2025)

A direct and algebraic characterization of higher-order differential operators
by: Fechner, Włodzimierz, et al.
Published: (2025)

Uvarov Perturbations for Multiple Orthogonal Polynomials of the Mixed Type on the Step-Line
by: Mañas, Manuel, et al.
Published: (2025)

Classical multiple orthogonal polynomials for arbitrary number of weights and their explicit representation
by: Branquinho, Amílcar, et al.
Published: (2024)

General Geronimus Perturbations for Mixed Multiple Orthogonal Polynomials
by: Mañas, Manuel, et al.
Published: (2024)

Banded totally positive matrices and normality for mixed multiple orthogonal polynomials
by: Branquinho, Amílcar, et al.
Published: (2024)

Characterizations of second-order differential operators
by: Fechner, Włodzimierz, et al.
Published: (2023)

Topologizability and related properties of the iterates of composition operators in Gelfand-Shilov classes
by: Albanese, Angela A., et al.
Published: (2025)

Resolvent and spectrum for discrete symplectic systems in the limit point case
by: Zemánek, Petr
Published: (2024)

Half-Step-Invariant Sets, Admissible Maps, and Classical Orthogonal Polynomials
by: Castillo, K.
Published: (2026)

General Christoffel Perturbations for Mixed Multiple Orthogonal Polynomials
by: Mañas, Manuel, et al.
Published: (2024)

Bidiagonal factorization of recurrence banded matrices in mixed multiple orthogonality
by: Branquinho, Amílcar, et al.
Published: (2024)

Two Useful Facts About Generating Functions
by: Kasman, Alex, et al.
Published: (2025)

An equation in nonlinear combination of iterates
by: Gopalakrishna, Chaitanya, et al.
Published: (2024)

A remark on the rigidity of a property characterizing the Fourier transform
by: König, Hermann, et al.
Published: (2024)

Sharp variational inequalities for the Hardy-Littlewood maximal operator on finite undirected graphs
by: González-Riquelme, Cristian, et al.
Published: (2026)

Optimal discrete Hardy-Rellich-Birman inequalities
by: Štampach, František, et al.
Published: (2024)

The multilinear fractional sparse operator theory II: refining weighted estimates via multilinear fractional sparse forms
by: Cen, Xi
Published: (2025)

Construction of graph-directed invariant sets of weak contractions on semi-metric spaces
by: Okamura, Kazuki
Published: (2025)

The multilinear fractional sparse operator theory I: pointwise domination and weighted estimate
by: Cen, Xi, et al.
Published: (2024)

Composition operators in $bv_p$-spaces, part I: acting conditions and boundedness
by: Bugajewska, Daria, et al.
Published: (2024)

Spectral theory for Markov chains with transition matrix admitting a stochastic bidiagonal factorization
by: Branquinho, Amílcar, et al.
Published: (2026)

Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter
by: Zemánek, Petr
Published: (2024)

Discrete self-adjoint Dirac systems: asymptotic relations, Weyl functions and Toeplitz matrices
by: Sakhnovich, Alexander
Published: (2019)

The multilinear fractional bounded mean oscillation operator theory I: sparse domination, sparse $T1$ theorem, off-diagonal extrapolation, quantitative weighted estimate -- for generalized commutators
by: Cen, Xi, et al.
Published: (2025)

Triebel-Lizorkin regularity and bi-Lipschitz maps: composition operator and inverse function regularity
by: Prats, Martí
Published: (2020)

Finite Markov chains and multiple orthogonal polynomials
by: Branquinho, Amílcar, et al.
Published: (2023)

Wave operators for Jacobi matrices
by: Denisov, Sergey A., et al.
Published: (2026)

Nuclearity and Grothendieck-Lidskii formula for quaternionic operators
by: Cerejeiras, Paula, et al.
Published: (2023)

Bidiagonal Factorization of Banded Recursion Matrices for Mixed-Type Multiple Orthogonal Polynomials
by: Branquinho, Amílcar, et al.
Published: (2026)

Unbounded banded matrices, shifted positive bidiagonal factorizations, and mixed-type multiple orthogonality
by: Branquinho, Amílcar, et al.
Published: (2026)

Josephy's theorem, revisited
by: Bugajewska, Daria, et al.
Published: (2024)

Bloom weighted bounds for sparse forms associated to commutators
by: Lerner, Andrei K., et al.
Published: (2023)

Functions of self-adjoint operators under relatively bounded and relatively trace class perturbations. Relatively operator Lipschitz functions
by: Aleksandrov, Aleksei, et al.
Published: (2024)

Generalized Hilbert matrix operators acting on weighted sequence spaces
by: Jin, Jianjun
Published: (2025)

Boundedness properties of the bilinear fractional integral operators induced by hypermetrics of third order
by: Aimar, Hugo, et al.
Published: (2026)

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