Hans Georg Feichtinger
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Mathematics
Hans Georg Feichtinger's Degrees
- PhD Mathematics University of Vienna
Why Is Hans Georg Feichtinger Influential?
(Suggest an Edit or Addition)According to Wikipedia, Hans Georg Feichtinger is an Austrian mathematician. He is Professor in the mathematical faculty of the University of Vienna. He is editor-in-chief of the Journal of Fourier Analysis and Applications and associate editor to several other journals. He is one of the founders and head of the Numerical Harmonic Analysis Group at University of Vienna. Today Feichtinger's main field of research is harmonic analysis with a focus on time-frequency analysis.
Hans Georg Feichtinger's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Banach spaces related to integrable group representations and their atomic decompositions, I (1989) (751)
- Gabor Analysis and Algorithms: Theory and Applications (1997) (648)
- Modulation Spaces on Locally Compact Abelian Groups (2003) (647)
- Frame-theoretic analysis of oversampled filter banks (1998) (406)
- On a new Segal algebra (1981) (328)
- Gabor Frames and Time-Frequency Analysis of Distributions* (1997) (287)
- Efficient numerical methods in non-uniform sampling theory (1995) (280)
- Banach spaces related to integrable group representations and their atomic decompositions. Part II (1989) (269)
- A Banach space of test functions for Gabor analysis (1998) (265)
- A unified approach to atomic decompositions via integrable group representations (1988) (254)
- Modulation Spaces: Looking Back and Ahead (2006) (215)
- Banach Spaces of Distributions Defined by Decomposition Methods, I (1985) (199)
- Gabor Analysis and Algorithms (2012) (196)
- Analysis, Synthesis, and Estimation of Fractal-Rate Stochastic Point Processes (1997) (192)
- A First Survey of Gabor Multipliers (2003) (173)
- Gabor wavelets and the Heisenberg group: Gabor expansions and short time Fourier transform from the group theoretical point of view (1993) (167)
- Banach Spaces of Distributions of Wiener’s Type and Interpolation (1981) (163)
- Atomic characterizations of modulation spaces through Gabor-type representations (1989) (152)
- Generalized Amalgams, With Applications to Fourier Transform (1990) (151)
- Quantization of TF lattice-invariant operators on elementary LCA groups (1998) (150)
- Advances in Gabor Analysis (2012) (149)
- Exact iterative reconstruction algorithm for multivariate irregularly sampled functions in spline-like spaces: The $L^p$-theory (1998) (146)
- Theory and practice of irregular sampling (2021) (136)
- Iterative reconstruction of multivariate band-limited functions from irregular sampling values (1992) (134)
- Irregular sampling theorems and series expansions of band-limited functions (1992) (122)
- Varying the time-frequency lattice of Gabor frames (2003) (114)
- Wilson Bases and Modulation Spaces (1992) (102)
- Uniform Eigenvalue Estimates for Time‐Frequency Localization Operators (2002) (83)
- Wiener amalgams and pointwise summability of Fourier transforms and Fourier series (2006) (81)
- Discrete Gabor structures and optimal representations (1995) (76)
- Function Spaces of Polyanalytic Functions (2014) (69)
- Low Complexity Equalization for Doubly Selective Channels Modeled by a Basis Expansion (2010) (69)
- Fourier multipliers of classical modulation spaces (2006) (64)
- Compactness in translation invariant Banach spaces of distributions and compact multipliers (1984) (62)
- Banach Gelfand Triples for Gabor Analysis (2008) (59)
- Practical Estimation of Rapidly Varying Channels for OFDM Systems (2011) (59)
- New variants of the POCS method using affine subspaces of finite codimension with applications to irregular sampling (1992) (59)
- Wiener amalgam spaces for the fundamental identity of Gabor analysis (2005) (57)
- Gabor analysis over finite Abelian groups (2007) (57)
- Double Preconditioning for Gabor Frames (2006) (56)
- Approximate reconstruction of bandlimited functions for the integrate and fire sampler (2009) (54)
- The Segal Algebra ${\bf S}_0({\Bbb R}^d)$ and Norm Summability of Fourier Series and Fourier Transforms (2006) (54)
- Atomic Systems for Subspaces (2001) (53)
- Herz spaces and summability of Fourier transforms (2008) (52)
- Error analysis in regular and irregular sampling theory (1993) (52)
- A characterization of minimal homogeneous Banach spaces (1981) (50)
- Time-frequency partitions for the Gelfand triple $(S_0,L^2,S_0')$ (2006) (45)
- SPLINE-TYPE SPACES IN GABOR ANALYSIS (2002) (40)
- Equivalence of DFT filter banks and Gabor expansions (1995) (39)
- A characterization of Wiener's algebra on locally compact groups (1977) (38)
- Iterative algorithms in irregular sampling: a first comparison of methods (1991) (37)
- Banach spaces of distributions having two module structures (1983) (37)
- Constructive realization of dual systems for generators of multi-window spline-type spaces (2010) (36)
- Wiener Amalgams over Euclidean Spaces and Some of Their Applications (2020) (36)
- Oversampled FIR and IIR DFT filter banks and Weyl-Heisenberg frames (1996) (35)
- Dilation of the Weyl symbol and Balian-Low theorem (2013) (34)
- A Szegő-type theorem for Gabor-Toeplitz localization operators (2001) (33)
- METAPLECTIC OPERATORS ON ℂn (2007) (33)
- Validity of WH-frame bound conditions depends on Lattice parameters (2000) (32)
- CPR Artifact Removal in Ventricular Fibrillation ECG Signals Using Gabor Multipliers (2009) (32)
- On a class of convolution algebras of functions (1977) (32)
- Embedding theorems for decomposition spaces with applications to wavelet coorbit spaces (2016) (32)
- Flexible Gabor-wavelet atomic decompositions for L2-Sobolev spaces (2006) (31)
- ON A FAMILY OF WEIGHTED CONVOLUTION ALGEBRAS (1990) (31)
- Approximation of matrices by Gabor multipliers (2004) (29)
- Group theoretical approach to Gabor analysis (1995) (29)
- Stability of Gabor frames with arbitrary sampling points (2006) (27)
- Strong corruption of electrocardiograms caused by cardiopulmonary resuscitation reduces efficiency of two-channel methods for removing motion artefacts in non-shockable rhythms. (2009) (27)
- Compactness Criteria in Function Spaces (2002) (27)
- Geometric Space–Frequency Analysis on Manifolds (2015) (27)
- Non-Orthogonal Wavelet and Gabor Expansions , and Group Representations (1992) (27)
- A Guided Tour from Linear Algebra to the Foundations of Gabor Analysis (2005) (26)
- A low-complexity PAR-reductions method for DMT-VDSL (1999) (26)
- Frame-theoretic analysis and design of oversampled filter banks (1996) (23)
- Quasi-interpolation in the Fourier algebra (2007) (23)
- Construction of approximate dual wavelet frames (2014) (22)
- Approximate dual Gabor atoms via the adjoint lattice method (2014) (22)
- Multipliers from L1(G) to a Homogeneous Banach Space (1977) (22)
- Choosing Function Spaces in Harmonic Analysis (2015) (21)
- Sufficient conditions for irregular Gabor frames (2007) (21)
- Banach convolution algebras of functions II (1979) (21)
- Group sparsity methods for compressive channel estimation in doubly dispersive multicarrier systems (2010) (21)
- Inversion formulas for the short-time Fourier transform (2006) (20)
- Fast iterative and non-iterative reconstruction of band-limited functions from irregular sampling values (1991) (20)
- Gabor analysis on Wiener amalgams (2007) (20)
- A method for optimizing the ambiguity function concentration (2012) (20)
- Two Banach spaces of atoms for stable wavelet frame expansions (2007) (19)
- ITERATIVE RECOVERY OF BAND-LIMITED FUNCTIONS ON MANIFOLDS (2004) (19)
- A Reconstruction Method for Band-Limited Signals on the Hyperbolic Plane (2011) (19)
- Robustness of Regular Sampling in Sobolev Algebras (2004) (19)
- Hierarchical parallel matching pursuit (1994) (19)
- Mathematics and Music: A Diderot Mathematical Forum (2011) (18)
- AN ELEMENTARY APPROACH TO THE GENERALIZED FOURIER TRANSFORM (1989) (18)
- Hyperbolic Wavelets and Multiresolution in the Hardy Space of the Upper Half Plane (2013) (18)
- Fast Iterative Reconstruction of Band-Limited Images from Non-Uniform Sampling Values (1993) (17)
- Complete iterative reconstruction algorithms for irregularly sampled data in spline-like spaces (1997) (17)
- Banach Gelfand Triples for Applications in Physics and Engineering (2009) (16)
- Amalgam spaces and generalized harmonic analysis (1997) (16)
- Multidimensional irregular sampling of band-limited functions in Lp-spaces (1989) (16)
- Multipliers of Banach spaces of functions on groups (1976) (16)
- NON-UNIFORM SAMPLING: EXACT RECONSTRUCTION FROM NON-UNIFORMLY DISTRIBUTED WEIGHTED-AVERAGES (2002) (16)
- Compressive tracking of doubly selective channels in multicarrier systems based on sequential delay-Doppler sparsity (2011) (15)
- Constructive reconstruction from irregular sampling in multi-window spline-type spaces (2010) (15)
- An Exotic Minimal Banach Space of Functions (2002) (15)
- Gabor Analysis for Imaging (2015) (15)
- Structure of the Gabor matrix and efficient numerical algorithms for discrete Gabor expansions (1994) (14)
- Functions of variable bandwidth via time-frequency analysis tools (2011) (14)
- A Novel Mathematical Approach to the Theory of Translation Invariant Linear Systems (2017) (14)
- Metaplectic Operators on C N (2006) (14)
- Oversampled Wilson expansions (1997) (14)
- Coherent Frames and Irregular Sampling (1990) (14)
- Error estimates for irregular sampling of band-limited functions on a locally compact Abelian group (2003) (13)
- Iterative Methods in Irregular Sampling Theory, Numerical Results (1990) (13)
- Nonfactorization in commutative, weakly selfadjoint Banach algebras (1979) (12)
- Mathematics and Music (2002) (12)
- Trace operators for modulation, α-modulation and Besov spaces (2010) (12)
- Pseudoinverse matrix methods for signal reconstruction from partial data (1991) (12)
- Coorbit Theory and Bergman Spaces (2014) (12)
- Perturbation Techniques in Irregular spline-Type Spaces (2008) (12)
- Matched multiwindow methods for the estimation and filtering of nonstationary processes (1996) (12)
- A numerical study of the Legendre-Galerkin method for the evaluation of the prolate spheroidal wave functions (2015) (11)
- METAPLECTIC OPERATORS ON C (11)
- The inner kernel theorem for a certain Segal algebra (2018) (11)
- A compactness criterion for translation invariant Banach spaces of functions (1982) (11)
- A Distributional Approach to Generalized Stochastic Processes on Locally Compact Abelian Groups (2014) (11)
- Recovery of missing segments and lines in images (1994) (10)
- Minimal Banach spaces and atomic representations (2022) (10)
- RESULTS ON BANACH IDEALS AND SPACES OF MULTIPLIERS (1977) (10)
- DMT PAR-reduction by weighted cancellation waveforms (1999) (10)
- Recovery of Band-Limited Functions on Locally Compact Abelian Groups from Irregular Samples (2003) (10)
- Gabor-type matrices and discrete huge Gabor transforms (1995) (9)
- Time-frequency structured decorrelation of speech signals via nonseparable Gabor frames (1997) (9)
- Trace operators of modulation, alpha modulation and Besov spaces (2008) (9)
- New Results on Regular and Irregular Sampling Based on Wiener Amalgams (2020) (9)
- Elements of Postmodern Harmonic Analysis (2015) (9)
- From Frazier-Jawerth characterizations of Besov spaces to Wavelets and Decomposition spaces (2016) (8)
- Pre-Dual of Fofana’s Spaces (2019) (8)
- Improved locality for irregular sampling algorithms (2000) (8)
- New efficient methods for Gabor analysis (1993) (8)
- Harmonic Analysis of Generalized Stochastic Processes on Locally Compact Abelian Groups (2003) (7)
- GABOR ANALYSIS AND TIME-FREQUENCY METHODS (2012) (7)
- Distribution Theory by Riemann Integrals (2018) (7)
- Time-frequency synthesis of statistically matched Weyl-Heisenberg prototype signals (1994) (7)
- Navier-Stokes Equation in Super-Critical Spaces $E^s_{p,q}$ (2019) (7)
- Norm Summability of Fourier Series and Fourier Transforms (2006) (7)
- Reconstruction of signals from irregular samples of its short-time Fourier transform (1995) (7)
- Diagonalizing the Gabor Frame Operator (1995) (7)
- Completeness of shifted dilates in invariant Banach spaces of tempered distributions (2020) (6)
- Inexpensive Gabor decompositions (1994) (6)
- Parseval's relationship for nonuniform samples of signals with several variables (1992) (6)
- IRSATOL — Irregular Sampling of Band-limited Signals TOOLBOX (1992) (6)
- Reproducing Kernels and Variable Bandwidth (2012) (6)
- Navier-Stokes equation in super-critical spacesEp,qs (2020) (5)
- POCS approach to Gabor analysis (1998) (5)
- Thoughts on Numerical and Conceptual Harmonic Analysis (2016) (5)
- Optimal iterative algorithms in Gabor analysis (1994) (5)
- Gabor Expansions of Signals: Computational Aspects and Open Questions (2019) (5)
- Removal of CPR artifacts in ventricular fibrillation ECG by local coherent line removal (2004) (5)
- WILSON SYSTEM FOR TRIPLE REDUNDANCY (2010) (5)
- Spectral Properties of Toeplitz Operators Acting on Gabor Type Reproducing Kernel Hilbert Spaces (2014) (5)
- Classical Fourier analysis via mild distributions (2019) (5)
- Homogeneous Banach Spaces as Banach Convolution Modules over M(G) (2022) (5)
- Minimal norm interpolation in harmonic Hilbert spaces and Wiener amalgam spaces on locally compact abelian groups (2005) (5)
- On a complementary condition to derivation of discrete Gabor expansions (1997) (4)
- Asymptotic Boundary Forms for Tight Gabor Frames and Lattice Localization Domains (2015) (4)
- Gabor Multipliers A Self-Contained Survey (2004) (4)
- Modulation spaces associated with tensor products of amalgam spaces (2020) (4)
- Operators commuting with a discrete subgroup of translations (2006) (4)
- Comparison of lossy image compression techniques with respect to their impact on edge detectors (1996) (3)
- Orthogonal projections derived from localization operators (2004) (3)
- ELIMINATION OF CPR-ARTEFACTS IN VF-ECGs BY TIME FREQUENCY METHODS (2009) (3)
- A Sequential Approach to Mild Distributions (2020) (3)
- Weighted versions of Beurling's Tauberian Theorem (1986) (3)
- Mini-Workshop: Wavelets and Frames (2004) (3)
- Individual factorization in Banach modules (1987) (3)
- Multidimensional nonseparable Gabor expansions (1996) (3)
- Gabor systems with good TF-localization and applications to image processing (1996) (3)
- Some new subalgebras of L1(G) (1974) (3)
- On Exceptional Times for Pointwise Convergence of Integral Kernels in Feynman–Trotter Path Integrals (2020) (2)
- Nonorthogonal Expansions of Signals and some of their Applications (1991) (2)
- Localization of Frames , Banach Frames , and the Invertibility of the Frame Operator Karlheinz Gröchenig Communicated (2)
- Translation and modulation invariant banach spaces of tempered distributions satisfy the metric approximation property (2022) (2)
- Error Estimates For Irregular Sampling Of Band-Limited Distributions On A Locally Compact Abelian Gr (1999) (2)
- Double Preconditioning for the Gabor Frame Operator (2006) (2)
- COMPLETENESS OF SETS OF SHIFTS IN INVARIANT BANACH SPACES OF TEMPERED DISTRIBUTIONS VIA TAUBERIAN THEOREMS (2020) (2)
- Excess of Gabor Frames (2006) (2)
- Group theoretical methods and wavelet theory: coorbit theory and applications (2013) (1)
- Approximately invertible elements in non-unital normed algebras (2021) (1)
- Gabor multipliers with varying lattices (2003) (1)
- Numerical Harmonic Analysis and Image Processing (2001) (1)
- Modulation Spaces, Multipliers Associated with the Special Affine Fourier Transform (2022) (1)
- Ingredients for Applied Fourier Analysis (2020) (1)
- Pseudo-differential operators : quantization and signals : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 19-24, 2006 (2008) (1)
- Geometric Properties of Fractional Brownian Sheets Dongsheng Wu and (2006) (0)
- Multichannel group sparsity methods for compressive channel estimation in doubly selective multicarrier MIMO systems (2014) (0)
- MATHEMATICAL TOOLS IN DIGITAL SIGNAL PROCESSING (2008) (0)
- Advances in Computational Mathematics, Special Issue on Localization, Diversity and Uncertainty in Signal Representations (2014) (0)
- Introduction (2001) (0)
- Approximate dual Gabor atoms via the adjoint lattice method (2013) (0)
- HANS GEORG FEICHTINGER FROM ABSTRACT TO NUMERICAL HARMONIC ANALYSIS (2016) (0)
- A FUNCTIONAL ANALYTIC APPROACH TO APPLIED ANALYSIS: NUHAG: VERSION DATED AUTUMN 2012 (2013) (0)
- 1 Mathematical Problems and their Tools 1 . 1 A coarse Tour d ’ Horizon (2013) (0)
- A FUNCTIONAL ANALYTIC APPROACH TO APPLIED ANALYSIS: NUHAG: VERSION DATED AUTUMN 2012 (2013) (0)
- Buchbesprechung/Book Reviews (1991) (0)
- Completeness of Sets of Shifts in Invariant Banach Spaces of Tempered Distributions via Tauberian conditions (2020) (0)
- Gabor Analysis And Linear System Identification (0)
- Computational Harmonic Analysis Organizing Committee Conference Secretary General Information Lecture Theatres Foreign Currency Exchange Email/fax Sightseeing Trip Non-uniform Sampling and Reconstruction in Shift-invariant Spaces with Applications to Signal and Image Processing Multiwavelet Transfor (0)
- Time-frequency analysis and nonstationary filtering (2005) (0)
- Reconstruction from Irregular Samples with Improved Locality Tobias Werther (2002) (0)
- Peer Review #3 of "Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform (v0.1)" (2020) (0)
- COMPARISONS BETWEEN FOURIER MULTIPLIERS AND STFT MULTIPLIERS: THE SMOOTHING EFFECT OF THE SHORT-TIME FOURIER TRANSFORM (2022) (0)
- Abel Prize 2017 for Yves Meyer (2017) (0)
- {G}abor {a}nalysis {o}ver finite {A}belian groups (2007) (0)
- Mathematical and numerical aspects of frame theory - Part 2 (2014) (0)
- Comparisons between Fourier and STFT multipliers: the smoothing effect of the Short-time Fourier Transform (2022) (0)
- Maxterm‐miniterm: An alpha numeric notation for significant document storage (1963) (0)
- Buchbesprechunge@@@Book reviews (1979) (0)
- A numerical study of the Legendre-Galerkin method for the evaluation of the prolate spheroidal wave functions (2014) (0)
- Geometric Space–Frequency Analysis on Manifolds (2016) (0)
- Approximate reconstruction of bandlimited functions for the integrate and fire sampler (2011) (0)
- Gabor ' s signal expansion in optics (1999) (0)
- Approximation by linear combinations of translates in invariant Banach spaces of tempered distributions via Tauberian conditions (2023) (0)
- Book Reviews (2004) (0)
- 6. Summary and Future Plans (1996) (0)
- The homogeneous approximation property and localized Gabor frames (2016) (0)
- Double Preconditioning for Gabor Frame Operators: Algebraic, Functional Analytic and Numerical Aspects (2023) (0)
- Construction of approximate dual wavelet frames (2013) (0)
- A P ] 3 A pr 2 01 9 Navier-Stokes Equation in SuperCritical Spaces E sp (2019) (0)
- Corrections to "Oversampled Wilson expansions" (1997) (0)
- Peer Review #3 of "Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform (v0.2)" (2020) (0)
- Modulation spaces associated with tensor products of amalgam spaces (2021) (0)
- How to approximate continuous problems by periodic discrete ones (2012) (0)
- A FRESH APPROACH TO HARMONIC ANALYSIS: NUHAG: VERSION SUMMER 2010 (2010) (0)
- A FRESH APPROACH TO HARMONIC ANALYSIS: NUHAG: VERSION SUMMER 2010 (2010) (0)
- Local nonfactorization of functions on locally compact groups (1987) (0)
- Coherent non-orthogonal expansions reencouraged (1994) (0)
- Peer Review #3 of "Discrete two dimensional Fourier transform in polar coordinates part II: numerical computation and approximation of the continuous transform (v0.3)" (2020) (0)
- Trace Operators for Modulation, α-Modulation (2008) (0)
- The homogeneous approximation property and localized Gabor frames (2016) (0)
- POSTDOCTORAL POSITION in APPLIED HARMONIC ANALYSIS (2007) (0)
- PRECURSORS IN MATHEMATICS : EARLY WAVELET BASES (0)
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