The Journal of Fourier Analysis and Applications will publish results in Fourier analysis, as well as applicable mathematics having a significant Fourier analytic component. Appropriate manuscripts at the highest research level will be accepted for publication. Because of the extensive, intricate, and fundamental relationship between Fourier analysis and so many other subjects, selected and readable surveys will also be published. These surveys will include historical articles, research tutorials, and expositions of specific topics.TheJournal of Fourier Analysis and Applications will provide a perspective and means for centralizing and disseminating new information from the vantage point of Fourier analysis. The breadth of Fourier analysis and diversity of its applicability require that each paper should contain a clear and motivated introduction, which is accessible to all of our readers.Areas of applications include the following:antenna theory * crystallography * fast algorithms * Gabor theory and applications * image processing * number theory * optics * partial differential equations * prediction theory * radar applications * sampling theory * spectral estimation * speech processing * stochastic processes * time-frequency analysis * time series * tomography * turbulence * uncertainty principles * wavelet theory and applications
《傅里叶分析与应用》杂志将发表傅里叶分析的成果，以及具有重要傅里叶分析成分的适用数学。最高研究水平的适当手稿将被接受发表。由于傅立叶分析和许多其他学科之间的广泛、复杂和基本的关系，也将出版精选的可读调查。这些调查将包括历史文章、研究指南和特定主题的论述。《傅立叶分析与应用杂志》将从傅立叶分析的Vantage位置提供集中和传播新信息的视角和方法。傅里叶分析的广泛性和应用的多样性要求每篇论文都应该包含清晰和有动机的介绍，这是我们所有的读者都可以接触到的。应用领域包括：天线理论*晶体学*快速算法* Gabor理论和应用*图像处理*数论*光学*偏微分方程*预测理论*雷达应用*采样理论*谱估计*语音处理*随机过程*时频分析*时间序列*层析成像*湍流*不确定性原理*小波理论和应用
Littlewood–Paley and Finite Atomic Characterizations of Anisotropic Variable Hardy–Lorentz Spaces and Their Applications
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9609-3
A New Perspective on the Two-Dimensional Fractional Fourier Transform and Its Relationship with the Wigner Distribution
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-017-9588-9
Two Theorems on Convergence of Schrödinger Means
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9644-0
Parseval Proximal Neural Networks
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-020-09761-7
Schoenberg’s Theorem for Positive Definite Functions on Products: A Unifying Framework
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9631-5
A Family of Orthogonal Rational Functions and Other Orthogonal Systems with a skew-Hermitian Differentiation Matrix
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-019-09718-5
Pointwise Convergence Along Restricted Directions for the Fractional Schrödinger Equation
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-020-09760-8
Mean Ergodic Theorems for Multipliers on Banach Algebras
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-017-9587-X
Quantum Harmonic Analysis on Lattices and Gabor Multipliers
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-020-09759-1
Letter to the Editor: Linear Independence of Time-Frequency Shifts Up To Extreme Dilations
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-019-09699-5
An Analogue of Slepian Vectors on Boolean Hypercubes
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-09654-W
The Multilinear Littlewood–Paley Operators with Minimal Regularity Conditions
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9613-7
Concentration Estimates for Band-Limited Spherical Harmonics Expansions via the Large Sieve Principle
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-020-09744-8
Mean Value Property of Harmonic Functions on the Tetrahedral Sierpinski Gasket
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9611-9
Weighted Inequalities for Schrödinger Type Singular Integrals
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9626-2
A Remark on the Arcsine Distribution and the Hilbert transform
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-019-09678-w
A Characterization on the Spectra of Self-Affine Measures
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9621-7
Letter to the Editor: Proof of the HRT Conjecture for Almost Every (1,3) Configuration
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-018-9628-0
Some Embeddings of Morrey Spaces with Critical Smoothness
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-020-09758-2
The Plancherel Formula for an Inhomogeneous Vector Group
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-019-09684-Y
Oscillatory Singular Integral Operators with Hölder Class Kernels
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-09660-Y
Riesz Bases of Reproducing Kernels in Small Fock Spaces
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-019-09719-4
On Lebesgue Integrability of Fourier Transforms in Amalgam Spaces
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-017-9577-Z
Fourier Analysis for Type III Representations of the Noncommutative Torus
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-019-09683-Z
Geometric Separation in $$\\mathbb {R}^3$$R3
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-017-9569-Z
Domains Without Dense Steklov Nodal Sets
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-020-09753-7
Characterization of $$H^1$$H1 Sobolev Spaces by Square Functions of Marcinkiewicz Type
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9618-2
The Fourier Transform on the Group $$\\mathrm {GL}_2({\\mathbb R })$$GL2(R) and the Action of the Overalgebra $$\\mathfrak {gl}_4$$gl4
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-017-9589-8
Adapted Decimation on Finite Frames for Arbitrary Orders of Sigma-Delta Quantization
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-020-09728-8
An Exact Version of the Egorov Theorem for Schrödinger Operators in $$L^{2}({\\mathbb {T}})$$L2(T)
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-09646-W
New Weighted Estimates for the Disc Multiplier on Radial Functions
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9599-1
On Pointwise Convergence for Schrödinger Operator in a Convex Domain
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-09658-6
Convergence of the Best Linear Predictor of a Weakly Stationary Random Field
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9603-9
On Some Spectral Properties of Pseudo-differential Operators on $$\\mathbb {T}$$T
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-019-09680-2
Convergence Rates for Fourier Partial Sums of Polygons and Periodic Splines
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-09650-0
Letter to the Editor: A Short Complex-Variable Proof of the Titchmarsh Convolution Theorem
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-019-09679-9
On the Local Hölder Boundary Smoothness of an Analytic Function in the Unit Ball Compared with the Smoothness of Its Modulus
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-020-09735-9
Generalized Fourier Transforms Associated with the Oscillator Representation
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-019-09682-0
The Stability of Wavelet-Like Expansions in $$A_\\infty $$A∞ Weighted Spaces
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-019-09685-X
Isomorphism in Wavelets
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-019-09694-w
Regular Two-Distance Sets
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-020-09756-4
$$L^p$$Lp-Multipliers Sensitive to the Group Structure on Nilpotent Lie Groups
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9640-4
On Schrödinger Oscillatory Integrals Associated with the Dunkl Transform
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9597-3
A Paley–Wiener Type Theorem for Singular Measures on $$(-1/2, 1/2)$$(-1/2,1/2)
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-019-09671-3
Limiting Behavior of Infinite Products Scaled by Pisot Numbers
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-018-9638-Y
Phase-Retrieval in Shift-Invariant Spaces with Gaussian Generator
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-020-09755-5
On Wavelet and Leader Wavelet Based Large Deviation Multifractal Formalisms for Non-uniform Hölder Functions
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/S00041-017-9578-Y
Time-Changed Dirac–Fokker–Planck Equations on the Lattice
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-020-09754-6
Wavelet Thresholding in Fixed Design Regression for Gaussian Random Fields
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-019-09698-6
On the Limit Regularity in Sobolev and Besov Scales Related to Approximation Theory
来源期刊：Journal of Fourier Analysis and ApplicationsDOI：10.1007/s00041-019-09707-8
