Cover Image

$\ell^1$ mapping properties, smoothness and decay for $SU(2)$-valued nonlinear Fourier transform

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Mnatsakanyan, Gevorg
Format:	Preprint
Published:	2026
Subjects:	Classical Analysis and ODEs 42C99, 81P68, 34L25, 47B35
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Infinite quantum signal processing for arbitrary Szegő functions
by: Alexis, Michel, et al.
Published: (2024)

Weak $L^2$ bound of the lacunary Carleson operator for the non-linear Fourier transform
by: Mnatsakanyan, Gevorg
Published: (2022)

One sided orthogonal polynomials and a pointwise convergence result for $SU(2)$-valued nonlinear Fourier series
by: Alexis, Michel, et al.
Published: (2025)

Quantum signal processing and nonlinear Fourier analysis
by: Alexis, Michel, et al.
Published: (2023)

Self-improving properties of weighted norm inequalities on metric measure spaces
by: Kinnunen, Juha, et al.
Published: (2025)

Virtual levels, virtual states, and the limiting absorption principle for higher order differential operators in 1D
by: Comech, Andrew, et al.
Published: (2024)

Mathematical and numerical analysis of quantum signal processing
by: Lin, Lin
Published: (2025)

Characterization of boundedness on Wiener amalgam spaces of multilinear Rihaczek distributions
by: Guo, Weichao, et al.
Published: (2022)

The strong version of nonlinear Carleson conjecture fails
by: Denisov, Sergey A.
Published: (2026)

A note on linear differential equations with variable coefficients
by: Gadella, Manuel, et al.
Published: (2024)

Quantitative Bounds and Compactness for the Commutators of Area Integrals Associated with Self-adjoint Operators on Weighted $L^p$ and Morrey Spaces
by: Zhang, Chunmei, et al.
Published: (2026)

Complete systems of solutions, transmutations and Darboux transform for Sturm-Liouville equations in impedance form
by: Vicente-Benítez, Víctor A.
Published: (2025)

On Rotated CMV Operators and Orthogonal Polynomials on the Unit Circle
by: Ang, Ryan C. H.
Published: (2023)

On the boundedness of Dunkl multipliers
by: Mukherjee, Suman, et al.
Published: (2024)

Sharp Fourier decay estimates for measures supported on the well-approximable numbers
by: Fraser, Robert, et al.
Published: (2024)

The $L^p$ convergence of Fourier series on triangular domains
by: Babb, Ryan Luis Acosta
Published: (2022)

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

Eigenvalue bounds for Schrödinger operators on quantum graphs with $δ$-coupling conditions
by: Cao, Duc Hoang
Published: (2025)

Weighted estimates for Multilinear Singular Integrals with Rough Kernels
by: Park, Bae Jun
Published: (2025)

Estimates for generalized fractional integrals associated with operators on Morrey--Campanato spaces
by: Chen, Cong, et al.
Published: (2025)

$L^p$ improving properties and maximal estimates for certain multilinear averaging operators
by: Cho, Chu-hee, et al.
Published: (2023)

Weighted Bilinear Multiplier Theorems in Dunkl Setting via Singular Integrals
by: Mukherjee, Suman, et al.
Published: (2023)

Basis properties of Fucik eigenfunctions
by: Baustian, Falko, et al.
Published: (2020)

The maximal function on spaces of homogeneous type, or adjacent dyadic cubes do good
by: Shalukhina, Alina
Published: (2025)

Almost everywhere convergence of a wavelet-type Malmquist-Takenaka series
by: Mnatsakanyan, Gevorg
Published: (2024)

Characterizations of weighted Besov and Triebel-Lizorkin spaces with variable smoothness
by: Choi, Jae-Hwan, et al.
Published: (2023)

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

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

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

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)

Improved curvature conditions on $L^2\times\cdots\times L^2 \to L^{2/m}$ bounds for multilinear maximal averages
by: Cho, Chuhee, et al.
Published: (2024)

Continuation theorems for periodic systems and applications to problems with nonlinear time-dependent differential operators
by: Benevieri, Pierluigi, et al.
Published: (2025)

The reverse Hölder inequality for $\mathcal{A}_{p(\cdot)}$ weights with applications to matrix weights
by: Cruz-Uribe, David, et al.
Published: (2024)

Integration of monomials over the unit spere and unit ball in $R^n$
by: Calderon, Calixto P., et al.
Published: (2025)

Parabolic Extrapolation and Its Applications to Characterizing Parabolic BMO Spaces via Parabolic Fractional Commutators
by: Cao, Mingming, et al.
Published: (2025)

Solvability for non-smooth Schrödinger equations with singular potentials and square integrable data
by: Morris, Andrew J., et al.
Published: (2020)

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

An SU(2n)-valued nonlinear Fourier transform
by: Alexis, Michel, et al.
Published: (2026)

Painlevé IV, bi-confluent Heun equations and the Hankel determinant generated by a discontinuous semi-classical Laguerre weight
by: Zhu, Mengkun, et al.
Published: (2026)

Self-improving boundedness of the maximal operator on quasi-Banach lattices over spaces of homogeneous type
by: Shalukhina, Alina
Published: (2024)