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Uncertainty Principle of Complex-Valued Functions in Specific Free Metaplectic Transformation Domains

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (4)

This study devotes to uncertainty principles under some specific free metaplectic transformations of complex-valued functions. Two versions of uncerta......

Spectral Analysis Beyond l(2) on Sierpinski Lattices

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (3)

We study the spectrum of the Laplacian on the Sierpinski lattices. First, we show that the spectrum of the Laplacian, as a subset of C, remains the sa......

Spectral Property of Self-Affine Measures on R-n

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (5)

For any integer m > 1, let D subset of Z(n) be a finite digit set such that Z(mD) = boolean OR(k)(i=1) Z(i) for some finite integer k, (Z(i)-Z(i))\......

XMO and Weighted Compact Bilinear Commutators

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (3)

To study the compactness of bilinear commutators of certain bilinear Calderon-Zygmund operators which include (inhomogeneous) Coifman-Meyer bilinear F......

Weak and Strong Type Estimates for the Multilinear Littlewood-Paley Operators

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (4)

Let S-alpha be the multilinear square function defined on the cone with aperture alpha >= 1. In this paper, we investigate several kinds of weighte......

Global Weighted Estimates for Higher Order Schrodinger Operators with Discontinuous Coefficients

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (5)

We obtain the global weighted estimates for non-divergence and divergence higher order Schrodinger operators with small BMO theta (rho) (or VMO theta ......

A Restriction Estimate for a Certain Surface of Finite Type in R-3

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (4)

In this paper, we study the restriction estimate for a certain surface of finite type in R-3, and partially improve the results of Buschenhenke-Muller......

A Note on Non-tangential Convergence for Schrodinger Operators

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (4)

The goal of this note is to establish non-tangential convergence results for Schrodinger operators along restricted curves. We consider the relationsh......

A Provably Convergent Scheme for Compressive Sensing Under Random Generative Priors

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (2)

Deep generative modeling has led to new and state of the art approaches for enforcing structural priors in a variety of inverse problems. In contrast ......

Essential Self-Adjointness and the <mml:msup>L2</mml:msup>-Liouville Property

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (2)

We discuss connections between the essential self-adjointness of a symmetric operator and the constancy of functions which are in the kernel of the ad......

Characterizations of Product Hardy Spaces in Bessel Setting

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (2)

In this paper, we work in the setting of Bessel operators and Bessel Laplace equations studied by Weinstein, Huber, and the harmonic function theory i......

Remarks on the Well-Posedness of the Euler Equations in the Triebel-Lizorkin Spaces

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (2)

We prove the continuous dependence of the solution maps for the Euler equations in the (critical) Triebel-Lizorkin spaces, which was not shown in the ......

Adaptive Directional Haar Tight Framelets on Bounded Domains for Digraph Signal Representations

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2021; 27 (2)

Based on hierarchical partitions, we provide the construction of Haar-type tight framelets on any compact set K subset of R-d. In particular, on the u......

A Uniqueness Result for Light Ray Transform on Symmetric 2-Tensor Fields

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020; 26 (3)

We study light ray transform of symmetric 2-tensor fields defined on a bounded time-space domain in R1+n for n &gt;= 3. We prove a uniqueness result f......

On the Fourier Transforms of Nonlinear Self-similar Measures

期刊: JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2020; 26 (3)

In-homogeneous self-similar measures can be viewed as special cases of nonlinear self-similar measures. In this paper, we study the asymptotic behavio......

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