SU\G(𝔸)/K·U
Mathematics › Applied Mathematics

Mathematical Analysis and Transform Methods

Works Count: 24740

Description

This cluster of papers explores advances in the analysis and applications of the Fractional Fourier Transform, including topics such as frames, wavelets, sampling, signal processing, shearlets, modulation spaces, Gabor frames, uncertainty principles, Dunkl transform, and spectral measures.

Keywords

Frames; Wavelets; Sampling; Signal Processing; Shearlets; Modulation Spaces; Gabor Frames; Uncertainty Principles; Dunkl Transform; Spectral Measures

Most Cited Works

Action Title Date Authors
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Analysis on Symmetric Cones 1994-12-29 Jacques Faraut Adam Korányi
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C*–Algebras and Operator Theory 1990-01-01 Gerard J. Murphy
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Non-Homogeneous Boundary Value Problems and Applications 1973-01-01 J. L. Lions Enrico Magenes
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Wavelet Shrinkage: Asymptopia? 1995-07-01 David L. Donoho Iain M. Johnstone Gérard Kerkyacharian Dominique Picard
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Fourier Transforms in the Complex Domain 1934-12-31 N. Wiener R. E. A. C. Paley
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Wavelets and signal processing 1991-10-01 Olivier Rioul Martin Vetterli
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Optical encryption by double-random phase encoding in the fractional Fourier domain 2000-06-15 Unnikrishnan Gopinathan Joby Joseph K. Singh
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From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images 2009-02-05 Alfred M. Bruckstein⋆ David L. Donoho Michael Elad
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Multiresolution approximations and wavelet orthonormal bases of 𝐿²(𝑅) 1989-01-01 Stéphane Mallat
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Localization of the complex spectrum: the S transform 1996-04-01 R. G. Stockwell L. Mansinha R. P. Lowe
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Factoring wavelet transforms into lifting steps 2005-11-23 Ingrid Daubechies Wim Sweldens
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The Lifting Scheme: A Construction of Second Generation Wavelets 1998-03-01 Wim Sweldens
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A Simple Proof of the Restricted Isometry Property for Random Matrices 2008-01-14 Richard G. Baraniuk Mark A. Davenport Ronald DeVore Michael B. Wakin
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A Practical Guide to Wavelet Analysis 1998-01-01 Christopher Torrence Gilbert P. Compo
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Interpolation of Scattered Data: Distance Matrices and Conditionally Positive Definite Functions 1984-01-01 Charles A. Micchelli
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Heat Kernels and Dirac Operators 1992-01-01 Nicole Berline Ezra Getzler Michèle Vergne
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New tight frames of curvelets and optimal representations of objects with piecewise <i>C</i><sup>2</sup> singularities 2003-11-14 Emmanuel J. Candès David L. Donoho
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Factorization Theorems for Hardy Spaces in Several Variables 1976-05-01 Ronald R. Coifman Richard Rochberg Guido Weiss
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Extensions of Hardy spaces and their use in analysis 1977-01-01 Ronald R. Coifman Guido Weiss
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The Shannon sampling theorem—Its various extensions and applications: A tutorial review 1977-01-01 Abdul J. Jerri
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Fast wavelet transforms and numerical algorithms I 1991-03-01 Gregory Beylkin Ronald R. Coifman Vladimir Rokhlin
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Inequalities in Fourier Analysis 1975-07-01 William Beckner
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Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape 1984-07-01 A. Großmann J. Morlet
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Orthonormal bases of compactly supported wavelets 1988-10-01 Ingrid Daubechies
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Uncertainty principles and ideal atomic decomposition 2001-01-01 David L. Donoho Xiaoming Huo
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A unified treatment of some iterative algorithms in signal processing and image reconstruction 2003-11-14 Charles L. Byrne
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Endpoint Strichartz estimates 1998-10-01 M. Keel Terence Tao
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Compressive Sensing [Lecture Notes] 2007-07-01 Richard G. Baraniuk
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Enhancing Sparsity by Reweighted ℓ 1 Minimization 2008-10-14 Emmanuel J. Candès Michael B. Wakin Stephen Boyd
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Sparsity and incoherence in compressive sampling 2007-04-10 Emmanuel J. Candès Justin Romberg
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The fractional Fourier transform and time-frequency representations 1994-01-01 Luı́s B. Almeida
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The discrete wavelet transform: wedding the a trous and Mallat algorithms 1992-01-01 M. Shensa
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An Introduction to Frames and Riesz Bases 2005-02-01 Eric Weber Ole Christensen
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Continuous and Discrete Wavelet Transforms 1989-12-01 Christopher Heil David F. Walnut
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Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? 2006-12-01 Emmanuel J. Candès Terence Tao
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Characterization of Randomly Time-Variant Linear Channels 1963-12-01 P. Bello
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Hilbert space representation of the minimal length uncertainty relation 1995-07-15 Achim Kempf G. Mangano Robert B. Mann
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The Resolving Power of Gross Earth Data 1968-10-01 George Backus Freeman Gilbert
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The Fractional Order Fourier Transform and its Application to Quantum Mechanics 1980-01-01 Victor Namias
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Wavelets and filter banks: theory and design 1992-01-01 Martin Vetterli Cormac Herley
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Matching pursuits with time-frequency dictionaries 1993-01-01 Stéphane Mallat Zhifeng Zhang
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Wavelets on graphs via spectral graph theory 2010-04-29 David K. Hammond Pierre Vandergheynst Rémi Gribonval
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Stable signal recovery from incomplete and inaccurate measurements 2006-03-01 Emmanuel J. Candès Justin Romberg Terence Tao
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Sampling-50 years after Shannon 2000-04-01 Michaël Unser
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Biorthogonal bases of compactly supported wavelets 1992-06-01 Albert Cohen Ingrid Daubechies Jean-Christophe Feauveau
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The Dantzig selector: Statistical estimation when p is much larger than n 2007-12-01 Emmanuel J. Candès Terence Tao
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Lebesgue and Sobolev Spaces with Variable Exponents 2011-01-01 Lars Diening Petteri Harjulehto Peter Hästö Michael Růžička
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Compressed sensing 2006-04-01 David L. Donoho
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Factoring wavelet transforms into lifting steps 1998-05-01 Ingrid Daubechies Wim Sweldens
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Communication in the Presence of Noise 1949-01-01 Claude E. Shannon

Most Recent Works

Action Title Date Authors
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Weighted Inequalities for t-Haar Multipliers 2025-04-22 Dae‐Won Chung Weiyan Huang Jean Carlo Moraes María Cristina Pereyra Brett D. Wick
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A Note on the Maximal Operator on Banach Function Spaces 2025-04-22 Andrei K. Lerner
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On Some Sequence Spaces of Bicomplex Numbers 2025-04-21 Purushottam Parajuli Narayan Prasad Pahari Jhavi Lal Ghimire Manoj K. Jaiswal
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Application of Fractional Fourier Transform and BP Neural Network in Prediction of Tumor Benignity and Malignancy 2025-04-22 Xuanyu Liu Ningning Gao Suining He Lizhen Wang
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Best constants in the vector-valued Littlewood–Paley–Stein theory 2025-04-22 Guixiang Hong Zhendong Xu Hao Zhang
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New Sequence Spaces Derived from the Catalan–Motzkin Matrix and Related Matrix Transformations 2025-04-23 Büşra Sarıgöz Oktar Muhammet Cihat Dağlı
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On the nonsmooth regularity condition LIKQ for different abs-normal representations 2025-04-22 Gannа Shyshkanova Timo Kreimeier Lukas P. Baumgartner Franz Bethke Andrea Walther
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Blow-up for a wave equation with Hartree-type nonlinearity 2025-04-23 Hang Ding Jun Zhou
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The explicit form of the vector $$\varepsilon $$-algorithm’s kernel : a conjecture and its solution in $$\mathbb {R}^4 $$ 2025-04-23 A. Salam
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Estimation of the Fundamental Solution for a New Class of Non-Archimedean Pseudodifferential Equations 2025-04-24 Mariia V. Serdiuk
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Semiclassical functional calculus on nilpotent Lie groups and their compact nilmanifolds 2025-04-24 Véronique Fischer Søren Mikkelsen
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Slice Regular Holomorphic Cliffordian Functions of Order k 2025-04-25 Giulio Binosi
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The continuous wavelet transform in terms of generalized Kontorovich-Lebedev transform 2025-04-25 U. K. Mandal Laxmi
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The system of translates and the special affine Fourier transform 2025-04-25 Md Hasan Ali Biswas Frank Filbir R. Radha
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Synchronization of WPAA-Solution of Clifford-Valued Neural Network with Multiple Time-Varying Delays and Impulse Effects on Hybrid Domains 2025-04-25 Divya Agrawal Syed Abbas
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Linear canonical Lions wavelet transform: properties and inequalities 2025-04-26 Khaled Hleili Manel Hleili
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A scale of spaces of functions with integrable Fourier transform 2025-04-26 Elijah Liflyand
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Ladder operators for generalized Zernike or disk polynomials 2025-04-28 Misael E. Marriaga
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A new proof of the Bondal–Orlov reconstruction using Matsui spectra 2025-04-27 Daigo Ito Hiroki Matsui
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Scattering for the one dimensional Hartree Fock equation 2025-04-29 Cyril Malézé
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On the coherence of one-relator groups and their group algebras 2025-04-30 Andrei Jaikin‐Zapirain Marco Linton
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Convolution and correlation theorems associated with the octonion linear canonical transform 2025-04-29 Wen‐Biao Gao
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NS-FUO: Fourier U-type operator based on nested structure 2025-04-29 Jingjian Chen Jie Nie Ning Song Min Ye Zhiqiang Wei
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ON THE INTEGRO-DIFFERENTIAL OPERATORS OF RITT’S TYPE ASSOCIATED WITH THE IMAGINARY LEBEDEV-SKALSKAYA CONVOLUTION 2025-04-29 Le Xuan Doan Pham Van Hoang
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Approximation Estimation of Interpolation Projection Operators in Shift-Invariant Subspaces Based on Mixed-Norm 2025-04-29 Yasong Chen Junjian Zhao
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Partial Sums of the Hurwitz and Allied Functions and Their Special Values 2025-04-29 Wang Nian-liang Ruiyang Li Takako Kuzumaki
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The Conformable DoubleLaplace-Sawi Transform 2025-05-01 Raed Abu Awwad Monther Al-Momani Baha' Abughazaleh Ali Jaradat Abdulkarim Farah
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New endpoint estimates for commutators of multilinear operators 2025-05-01 Yichun Zhao Songbai Wang Jiang Zhou
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An upper bound on the maximal function of Schrödinger operator 2025-05-02 Junfeng Li Ankang Yu
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Correspondence between Pestov and Weitzenböck identities 2025-05-02 Mihajlo Cekić Thibault Lefeuvre Andrei Moroianu Uwe Semmelmann
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On symmetric functions and symmetric operators on Banach spaces 2025-05-03 Kallol Paul ‎Debmalya Sain Shamim Sohel
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Spectrally distinguishing symmetric spaces I 2025-05-03 Emilio A. Lauret Juan Sebastián Rodríguez
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Aspect of invariant properties of Orlicz amalgam spaces with respect to Banach spaces 2025-05-04 Büşra Arıs Serap Öztop
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Marcinkiewicz integral and superdensity 2025-05-05 Silvano Delladio
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On the stability of pure point spectrum of discrete operators with long-range hopping 2025-05-01 Wenwen Jian Li Wen
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Dynamical sampling in quaternionic Hilbert spaces 2025-05-05 Ruchi Bhardwaj Raksha Sharma Shivani Sharma
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Disjointly strictly singular and L-weakly compact inclusions between variable Lebesgue spaces 2025-05-01 Francisco L. Hernández César Ruiz Mauro Sanchiz
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$$L^p$$-$$L^q$$ Hypergeometric Spectral and Fourier Multipliers Associated with Root Systems 2025-05-06 Vishvesh Kumar
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Dimension-free Maz’ya–Shaposhnikova limiting formulas in Grushin spaces 2025-05-06 Huaiqian Li Ke Wang
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A cb-Bohnenblust–Hille inequality with constant one and its applications in learning theory 2025-05-06 Srinivasan Arunachalam Arkopal Dutt Francisco Escudero Carlos Palazuelos
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The molecular characterizations of variable Triebel-Lizorkin spaces associated with the Hermite operator and its applications 2025-05-01 Qi Sun Ciqiang Zhuo
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One-bit distributed compressed sensing with partial gaussian circulant matrices 2025-05-06 Yue Leng Jingyao Hou Xinling Liu Jianjun Wang
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Dual binary-order fractional operators and transforms 2025-05-07 Aris Alexopoulos
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Rate Distortion Dimension of Random Brody Curves 2025-05-07 Masaki Tsukamoto
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Fourier-type algebras and applications to some classes of convolution-type integral equations 2025-05-07 Nguyen Minh Tuan
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Spectral decomposition and Siegel–Veech transforms for strata: the case of marked tori 2025-05-07 Jayadev S. Athreya Jean Lagacé Martin Möller Martin Raum
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Dunkl approach to slice regular functions 2025-05-07 Giulio Binosi Hendrik De Bie Pan Lian
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Розв'язність лінійних крайових задач для звичайних диференціальних систем у просторі $C^{n}$ 2025-05-07 Віталій Солдатов
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Some properties of frame measures for Moran measures 2025-05-09 Fusheng Xiao
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Some Fast Summations of Fourier Series and Properties of Their Dirichlet-Type Kernels 2025-05-09 Anry Nersessian