| Publication | Date of Publication | Type |
|---|
| Frequency analysis with multiple kernels and complete dictionary | 2024-04-16 | Paper |
| Adaptive Fourier decomposition‐type sparse representations versus the Karhunen–Loève expansion for decomposing stochastic processes | 2024-01-08 | Paper |
| Sparse representations of random signals | 2023-12-19 | Paper |
| Granular sieving algorithm for selecting best n$$ n $$ parameters | 2023-12-12 | Paper |
| Orthogonalization in Clifford Hilbert modules and applications | 2023-11-17 | Paper |
| Algorithm of adaptive Fourier decomposition in H2(ℂ+) | 2023-09-21 | Paper |
| \(n\)-best kernel approximation in reproducing kernel Hilbert spaces | 2023-09-19 | Paper |
| The adaptive Fourier decomposition for financial time series | 2023-05-25 | Paper |
| Adaptive decompositions in monogenic reproducing kernel Hilbert spaces of Paley-Wiener type | 2022-10-07 | Paper |
| On monogenic reproducing kernel Hilbert spaces of the Paley-Wiener type | 2022-09-08 | Paper |
| Analytic phase retrieval based on intensity measurements | 2022-07-20 | Paper |
| Sparse representation of approximation to identity | 2022-06-20 | Paper |
| Positive-instantaneous frequency and approximation | 2022-05-25 | Paper |
| Riemann boundary value problems for monogenic functions on the hyperplane | 2022-05-23 | Paper |
| The Poisson kernel and the Fourier transform of the slice monogenic Cauchy kernels | 2022-03-23 | Paper |
| Sparse representations in reproducing kernels of operator equations | 2022-03-21 | Paper |
| The Fourier type expansions on tubes | 2022-03-04 | Paper |
| Hilbert Boundary Value Problems for Hyper Monogenic Functions on The Hyperplane | 2022-02-28 | Paper |
| A novel feature representation approach for single-lead heartbeat classification based on adaptive Fourier decomposition | 2022-01-20 | Paper |
| MIMO frequency domain system identification using matrix-valued orthonormal functions | 2022-01-07 | Paper |
| On convergence of rational Fourier series of functions of bounded variations | 2021-12-17 | Paper |
| A class of iterative greedy algorithms related to Blaschke product | 2021-12-14 | Paper |
| Best kernel approximation in Bergman spaces | 2021-12-13 | Paper |
| Sparse Representations of Solutions to a class of Random Boundary Value Problems | 2021-12-08 | Paper |
| System identification of Hammerstein models by using backward shift algorithm | 2021-11-16 | Paper |
| A stochastic sparse representation: \(n\)-best approximation to random signals and computation | 2021-09-03 | Paper |
| Reproducing kernels of some weighted Bergman spaces | 2021-09-02 | Paper |
| Pseudohyperbolic distance and n‐best rational approximation in ℍ2 space | 2021-08-02 | Paper |
| Adaptive Fourier decomposition of slice regular functions | 2021-07-31 | Paper |
| Uniform generalizations of Fueter's theorem | 2021-04-09 | Paper |
| Time–frequency transform involving nonlinear modulation and frequency-varying dilation | 2021-03-24 | Paper |
| Regularity of fractional heat semigroup associated with Schr\"odinger operators | 2020-12-13 | Paper |
| Two-Dimensional Frequency-Domain System Identification | 2020-10-07 | Paper |
| Integral Representations in Weighted Bergman Spaces on the Tube Domains | 2020-09-07 | Paper |
| A Sparse Representation of Random Signals | 2020-08-24 | Paper |
| Sparse Approximation to the Dirac-{\delta} Distribution | 2020-08-03 | Paper |
| A Theory on Non-Constant Frequency Decompositions and Applications | 2020-07-01 | Paper |
| The dual elements of function sets and Fefferman-Stein decomposition of Triebel-Lizorkin functions via wavelets | 2020-06-10 | Paper |
| A sufficient condition for n-Best Kernel Approximation in Reproducing Kernel Hilbert Spaces | 2020-06-05 | Paper |
| Reproducing kernel sparse representations in relation to operator equations | 2020-04-07 | Paper |
| Identification of discrete Hammerstein systems by using adaptive finite rational orthogonal basis functions | 2019-12-13 | Paper |
| Fourier spectrum of Clifford \(H^p\) spaces on \(\mathbb{R}_+^{n + 1}\) for \(1 \leq p \leq \infty \) | 2019-11-28 | Paper |
| Spectra of rational orthonormal systems | 2019-11-27 | Paper |
| Fourier spectrum characterizations of Hardy spaces \(H^p\) on tubes for \(0<p<1\) | 2019-11-22 | Paper |
| 2D Partial Unwinding—A Novel Non-Linear Phase Decomposition of Images | 2019-10-28 | Paper |
| Paley-Wiener-type theorem for analytic functions in tubular domains | 2019-10-04 | Paper |
| An enhancement algorithm for cyclic adaptive Fourier decomposition | 2019-09-26 | Paper |
| A novel 2D partial unwinding adaptive Fourier decomposition method with application to frequency domain system identification | 2019-07-18 | Paper |
| Adaptive Fourier decomposition in | 2019-06-06 | Paper |
| The inverse Fueter mapping theorem for axially monogenic functions of degree \(k\) | 2019-05-10 | Paper |
| Hardy space decompositions of Lp(ℝn) for 0 < p < 1 with rational approximation | 2019-03-25 | Paper |
| Singular Integrals and Fourier Theory on Lipschitz Boundaries | 2019-02-25 | Paper |
| A Novel Fourier Theory on Non-linear Phases and Applications | 2019-02-22 | Paper |
| A class of unbounded Fourier multipliers on the unit complex ball | 2019-02-14 | Paper |
| Rational approximation in Hardy spaces on strips | 2018-10-22 | Paper |
| A Tighter Uncertainty Principle for Linear Canonical Transform in Terms of Phase Derivative | 2018-08-22 | Paper |
| Characterizations of mono-components: the Blaschke and starlike types | 2018-08-10 | Paper |
| Wavelets and holomorphic functions | 2018-08-10 | Paper |
| Extracting outer function part from Hardy space function | 2018-07-25 | Paper |
| Fourier spectrum characterizations of \(H^{p}\) spaces on tubes over cones for \(1\leq p \leq \infty \) | 2018-07-23 | Paper |
| Analytic Phase Derivatives, All-Pass Filters and Signals of Minimum Phase | 2018-07-18 | Paper |
| Algorithm of Adaptive Fourier Decomposition | 2018-07-18 | Paper |
| Fast algorithm of adaptive Fourier series | 2018-05-30 | Paper |
| Further Aspects of the Fueter Mapping Theorem | 2018-05-08 | Paper |
| Reconstruction of analytic signal in Sobolev space by framelet sampling approximation | 2018-05-02 | Paper |
| Greedy Algorithms and Rational Approximation in One and Several Variables | 2018-04-18 | Paper |
| Clifford coherent state transforms on spheres | 2018-04-11 | Paper |
| Hilbert Transformation and Representation of the ax + b Group | 2018-04-06 | Paper |
| Aveiro method in reproducing kernel Hilbert spaces under complete dictionary | 2018-02-08 | Paper |
| Rational Approximation of Functions in Hardy Spaces | 2018-02-02 | Paper |
| Adaptative decomposition: the case of the Drury-Arveson space | 2018-01-25 | Paper |
| Hardy-Hodge decomposition of vector fields in ℝⁿ | 2018-01-09 | Paper |
| Uncertainty principle and phase-amplitude analysis of signals on the unit sphere | 2017-12-18 | Paper |
| Hilbert Transformation and $r\mathrm{Spin}(n)+\mathbb{R}^n$ Group | 2017-11-13 | Paper |
| Aspects of 2D-Adaptive Fourier Decompositions | 2017-10-24 | Paper |
| Schwarz problems for poly-Hardy space on the unit ball | 2017-10-19 | Paper |
| Adaptive Fourier decomposition‐based Dirac type time‐frequency distribution | 2017-08-22 | Paper |
| FFT formulations of adaptive Fourier decomposition | 2017-07-04 | Paper |
| A frame theory of Hardy spaces with the quaternionic and the Clifford algebra settings | 2017-06-30 | Paper |
| The generalized Matsaev theorem on growth of subharmonic functions admitting a lower bound in ℝn | 2017-05-03 | Paper |
| Adaptive orthonormal systems for matrix-valued functions | 2017-02-22 | Paper |
| Coherent state transforms and the Weyl equation in Clifford analysis | 2017-02-13 | Paper |
| The duality about function set and Fefferman-Stein Decomposition | 2017-02-01 | Paper |
| Extending coherent state transforms to Clifford analysis | 2016-11-14 | Paper |
| Fefferman-Stein decomposition for \(Q\)-spaces and micro-local quantities | 2016-10-12 | Paper |
| On the inversion of Fueter's theorem | 2016-09-12 | Paper |
| The \(H^{\infty}\) functional calculus based on the \(S\)-spectrum for quaternionic operators and for \(n\)-tuples of noncommuting operators | 2016-08-16 | Paper |
| Adaptive Fourier tester for statistical estimation | 2016-08-11 | Paper |
| Two‐dimensional adaptive Fourier decomposition | 2016-07-15 | Paper |
| Rational approximation of functions in Hardy spaces | 2016-07-07 | Paper |
| New aspects of Beurling-Lax shift invariant subspaces | 2016-06-22 | Paper |
| Tighter uncertainty principles based on quaternion Fourier transform | 2016-05-18 | Paper |
| Boundary value problems for periodic analytic functions | 2016-05-13 | Paper |
| Support vector machine adapted Tikhonov regularization method to solve Dirichlet problem | 2016-05-02 | Paper |
| Backward shift invariant subspaces with applications to band preserving and phase retrieval problems | 2016-04-29 | Paper |
| Adaptative decomposition: the case of the Drury-Arveson space | 2016-04-24 | Paper |
| Hardy space decomposition of on the unit circle: | 2016-04-22 | Paper |
| Minimax principle and lower bounds in \(H^2\)-rational approximation | 2016-04-15 | Paper |
| Extra-strong uncertainty principles in relation to phase derivative for signals in Euclidean spaces | 2016-02-29 | Paper |
| Basis pursuit for frequency-domain identification | 2016-02-23 | Paper |
| Consecutive minimum phase expansion of physically realizable signals with applications | 2016-01-25 | Paper |
| Fueter Mapping Theorem in Hypercomplex Analysis | 2016-01-04 | Paper |
| Stronger uncertainty principles for hypercomplex signals | 2015-12-04 | Paper |
| Integral representations of a class of harmonic functions in the half space | 2015-11-09 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2948883 | 2015-10-06 | Paper |
| Order filtrations of the edge algebra | 2015-09-22 | Paper |
| Space-frequency analysis in higher dimensions and applications | 2015-07-09 | Paper |
| Corner boundary value problems | 2015-06-25 | Paper |
| Approximation of functions by higher order Szegö kernels I. Complex variable cases | 2015-06-19 | Paper |
| Estimation of hyperbolically partial derivatives of ρ-harmonic quasiconformal mappings and its applications | 2015-06-19 | Paper |
| The AFD methods to compute Hilbert transform | 2015-05-15 | Paper |
| Fixed trace β-Hermite ensembles: Asymptotic eigenvalue density and the edge of the density | 2015-04-21 | Paper |
| How to Catch Smoothing Properties and Analyticity of Functions by Computers? | 2015-04-14 | Paper |
| Rational Approximation, Hardy Space - Decomposition of Functions in $L_p, p<1$: Further Results in Relation to Fourier Spectrum Characterization of Hardy Spaces | 2015-03-29 | Paper |
| Non-stretch mappings for a sharp estimate of the Beurling-Ahlfors operator | 2015-03-27 | Paper |
| A constructive proof of Beurling-Lax theorem | 2015-03-13 | Paper |
| Matching pursuits among shifted Cauchy kernels in higher-dimensional spaces | 2015-02-11 | Paper |
| Spaces of harmonic functions with boundary values in | 2014-12-10 | Paper |
| Approximation of monogenic functions by higher order Szegő kernels on the unit ball and half space | 2014-12-03 | Paper |
| Adaptive Fourier decompositions and rational approximations, part I: Theory | 2014-11-18 | Paper |
| Adaptive Fourier decomposition and rational approximation — Part II: Software system design and development | 2014-11-18 | Paper |
| A sharp lower bound of Burkholder's functional for \(K\)-quasiconformal mappings and its applications | 2014-10-31 | Paper |
| On backward shift algorithm for estimating poles of systems | 2014-10-08 | Paper |
| Mathematical theory of signal analysis vs. complex analysis method of harmonic analysis | 2014-06-30 | Paper |
| Lppolyharmonic Dirichlet problems in regular domains III: The unit ball | 2014-06-06 | Paper |
| Rational orthogonal systems are Schauder bases | 2014-05-26 | Paper |
| Cyclic AFD algorithm for the best rational approximation | 2014-05-16 | Paper |
| Sampling error analysis and some properties of non-bandlimited signals that are reconstructed by generalized sinc functions | 2014-05-02 | Paper |
| A sharper uncertainty principle | 2014-02-28 | Paper |
| Unbounded holomorphic Fourier multipliers on starlike Lipschitz surfaces and applications to Sobolev spaces | 2014-02-18 | Paper |
| \(L^p\) polyharmonic Dirichlet problems in regular domains. IV: The upper-half space | 2014-02-03 | Paper |
| Micro-local structure and two kinds of wavelet characterizations about the generalized Hardy spaces | 2014-01-22 | Paper |
| On sparse representation of analytic signal in Hardy space | 2013-12-20 | Paper |
| Shannon-type sampling for multivariate non-bandlimited signals | 2013-11-22 | Paper |
| ANALYTIC SAMPLING APPROXIMATION BY PROJECTION OPERATOR WITH APPLICATION IN DECOMPOSITION OF INSTANTANEOUS FREQUENCY | 2013-10-22 | Paper |
| Higher order boundary integral formula and integro-differential equation on Stein mainfolds | 2013-10-10 | Paper |
| Phase derivative of monogenic signals in higher dimensional spaces | 2013-10-10 | Paper |
| Quasihyperbolic distance in punctured planes | 2013-10-10 | Paper |
| TRANSIENT TIME-FREQUENCY DISTRIBUTION BASED ON MONO-COMPONENT DECOMPOSITIONS | 2013-09-05 | Paper |
| SPARSE RECONSTRUCTION OF HARDY SIGNAL AND APPLICATIONS TO TIME-FREQUENCY DISTRIBUTION | 2013-09-05 | Paper |
| Sparse Representation of Signals in Hardy Space | 2013-09-04 | Paper |
| Sufficient conditions for shift-invariant systems to be frames in \(L^2({\mathbb R^n})\) | 2013-08-06 | Paper |
| REMARKS ON ADAPTIVE FOURIER DECOMPOSITION | 2013-04-29 | Paper |
| Comparison of adaptive mono-component decompositions | 2013-03-07 | Paper |
| Optimal approximation by Blaschke forms | 2013-03-06 | Paper |
| Some remarks on the boundary behaviors of functions in the monogenic Hardy spaces | 2013-01-10 | Paper |
| Hardy-Sobolev derivatives of phase and amplitude, and their applications | 2012-12-06 | Paper |
| A fast adaptive model reduction method based on Takenaka-Malmquist systems | 2012-09-14 | Paper |
| Frequency-domain identification: An algorithm based on an adaptive rational orthogonal system | 2012-08-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2887461 | 2012-06-01 | Paper |
| B-splines of Blaschke product type | 2012-04-22 | Paper |
| Adaptive Fourier decomposition of functions in quaternionic Hardy spaces | 2012-03-05 | Paper |
| An application of entire function theory to analytic signals | 2012-02-27 | Paper |
| \(L^p\) polyharmonic Dirichlet problems in regular domains. II: The upper half plane | 2011-12-14 | Paper |
| Singular integrals and Fourier multipliers on unit spheres and their Lipschitz perturbations | 2011-09-17 | Paper |
| The Schwarzian derivative in \(\mathbb R^n\) | 2011-09-17 | Paper |
| Zeroes of slice monogenic functions | 2011-08-16 | Paper |
| On sets of zeroes of Clifford algebra-valued polynomials | 2011-07-19 | Paper |
| Orthonormal bases with nonlinear phases | 2011-06-07 | Paper |
| Adaptive decomposition by weighted inner functions: a generalization of Fourier series | 2011-05-05 | Paper |
| Adaptive Fourier series---a variation of greedy algorithm | 2011-04-08 | Paper |
| Hardy-Sobolev spaces decomposition in signal analysis | 2011-03-14 | Paper |
| ADAPTIVE DECOMPOSITION OF FUNCTIONS INTO PIECES OF NON-NEGATIVE INSTANTANEOUS FREQUENCIES | 2010-10-15 | Paper |
| Pointwise convergence for expansions in spherical monogenics | 2010-07-08 | Paper |
| Intrinsic mono-component decomposition of functions: An advance of Fourier theory | 2010-05-27 | Paper |
| Hilbert transforms on the sphere with the Clifford algebra setting | 2010-01-22 | Paper |
| The Paley-Wiener theorem in the non-commutative and non-associative octonions | 2009-12-07 | Paper |
| A note on pointwise convergence for expansions in surface harmonics of higher dimensional Euclidean spaces | 2009-09-22 | Paper |
| Sampling theorem and multi-scale spectrum based on non-linear Fourier atoms | 2009-09-18 | Paper |
| Hilbert Transforms on the Sphere and Lipschitz Surfaces | 2009-08-05 | Paper |
| Hilbert transforms and the Cauchy integral in euclidean space | 2009-06-05 | Paper |
| Fourier spectrum characterization of Hardy spaces and applications | 2009-03-30 | Paper |
| Boundary derivatives of the phases of inner and outer functions and applications | 2009-02-25 | Paper |
| Codimension-\(p\) Paley-Wiener theorems | 2008-09-03 | Paper |
| MONO-COMPONENTS VS IMFs IN SIGNAL DECOMPOSITION | 2008-08-26 | Paper |
| Cauchy integrals on Lipschitz surfaces in octonionic space | 2008-05-15 | Paper |
| Characterization of analytic phase signals | 2008-03-11 | Paper |
| Edge detection by using rotational wavelets | 2008-01-18 | Paper |
| Half Dirichlet problems and decompositions of Poisson kernels | 2007-10-23 | Paper |
| Sampling with Bessel functions | 2007-10-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3436894 | 2007-05-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3436895 | 2007-05-11 | Paper |
| Co-dimension-pShannon sampling theorems | 2007-03-08 | Paper |
| Clifford algebra approach to pointwise convergence of Fourier series on spheres | 2007-02-16 | Paper |
| An elementary proof of the Paley–Wiener theorem in Cm | 2007-02-14 | Paper |
| Schwarz lemma in Euclidean spaces | 2007-02-14 | Paper |
| An alternative proof of Fueter's theorem | 2007-02-14 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3414448 | 2007-01-08 | Paper |
| Two families of unit analytic signals with nonlinear phase | 2006-10-19 | Paper |
| Direct sum decomposition of \(L^{2}(R^{n}_{1})\) into subspaces invariant under Fourier transformation | 2006-09-12 | Paper |
| Mono‐components for decomposition of signals | 2006-09-06 | Paper |
| Shannon sampling in the Clifford analysis setting | 2006-06-06 | Paper |
| Shannon sampling and estimation of band-limited functions in the several complex variables setting | 2006-02-21 | Paper |
| Characterization of boundary values of functions in Hardy spaces with applications in signal analysis | 2006-01-13 | Paper |
| Analytic signals and harmonic measures | 2006-01-10 | Paper |
| STABILITY OF FRAMES GENERATED BY NONLINEAR FOURIER ATOMS | 2006-01-09 | Paper |
| Advances in Neural Networks – ISNN 2005 | 2005-11-23 | Paper |
| Advances in Neural Networks – ISNN 2005 | 2005-11-23 | Paper |
| Generalizations of Fueter's theorem | 2005-09-27 | Paper |
| Analytic unit quadrature signals with nonlinear phase | 2005-06-13 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4663731 | 2005-04-04 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3155091 | 2005-01-14 | Paper |
| Deriving harmonic functions in higher dimensional spaces | 2004-09-06 | Paper |
| The Paley-Wiener theorem in \(\mathbb{R}^n\) with the Clifford analysis setting | 2003-07-16 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4542297 | 2003-01-13 | Paper |
| Fourier analysis on starlike Lipschitz surfaces | 2002-08-25 | Paper |
| Calderón-type reproducing formulae on Lipschitz curves and surfaces | 2002-07-31 | Paper |
| The differential integral equations on smooth closed orientable manifolds | 2002-01-08 | Paper |
| A class of singular integrals on the \(n\)-complex unit sphere | 2001-04-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4954279 | 2000-06-05 | Paper |
| Properties of Poisson kernel for a degenerate elliptic equation | 2000-03-19 | Paper |
| Singular integrals on star-shaped Lipschitz surfaces in the quaternionic space | 1999-09-15 | Paper |
| Clifford martingale \(\Phi\)-equivalence between \(S(f)\) and \(f^*\) | 1999-03-30 | Paper |
| Generalization of Fueter's result to \(\mathbb{R}^{n+1}\) | 1999-02-11 | Paper |
| Singular integrals with holomorphic kernels and Fourier multipliers on star-shaped closed Lipschitz curves | 1997-09-30 | Paper |
| A holomorphic extension result | 1996-11-26 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4878734 | 1996-08-11 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4870866 | 1996-03-26 | Paper |
| Boundedness of singular integral operators with holomorphic kernels on star-shaped closed Lipschitz curves | 1996-03-20 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4341324 | 1996-01-01 | Paper |
| Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces | 1995-07-18 | Paper |
| A martingale proof of \(L_ 2\) boundedness of Clifford-valued singular integrals | 1995-06-18 | Paper |
| Clifford martingales. \(\Phi\)-equivalence between \(S(f)\) and \(f^*\) | 1995-04-19 | Paper |
| Homogeneous even kernels on surfaces | 1994-12-21 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4306491 | 1994-10-24 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5289202 | 1994-07-03 | Paper |
| Singular integrals associated to the Laplacian on the affine group \(ax+b\) | 1993-06-29 | Paper |
| Fourier Multipliers on Lipschitz Curves | 1992-11-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3978315 | 1992-06-25 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5748679 | 1990-01-01 | Paper |
| A kind of multilinear operator and the Schatten-von Neumann classes | 1989-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3834482 | 1986-01-01 | Paper |
| Pointwise estimates for a class of singular integrals and higher commutators | 1986-01-01 | Paper |
| Higher commutators of pseudo-differential operators | 1985-01-01 | Paper |
| Commutators of multiplier operators | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3774306 | 1985-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3336162 | 1984-01-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3694012 | 1984-01-01 | Paper |
