- Smoothing inequalities for corner-type bilinear averages: geometric characterization and applications
2024/10/21 by Martin Hsu, Fred Yu-Hsiang Lin, Hsu, Martin +2 · 1 citation
Mathematics · #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #Hilbert transform #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Pure mathematics #Statistics #math.CA
- Decomposing a signal into short-time narrow-banded modes
2016/03/26 by S.I. McNeill, Scot McNeill · 5 citations
Engineering · Mathematics · #Acoustics #Algorithm #Amplitude #Analytic signal #Computer science #Digital signal processing #Electronic engineering #Engineering #Envelope (radar) #Filter (signal processing) #Hilbert spectral analysis #Hilbert transform #Hilbert–Huang transform #Instantaneous phase #Machine Fault Diagnosis Techniques #Mathematical analysis #Mathematics #Optics #Physics #Residual #SIGNAL (programming language) #Signal processing #Smoothness #Spectral density #Statistics #Structural Health Monitoring Techniques #Telecommunications #Ultrasonics and Acoustic Wave Propagation #Vibration #White noise
- DYADIC TRIANGULAR HILBERT TRANSFORM OF TWO GENERAL FUNCTIONS AND ONE NOT TOO GENERAL FUNCTION
2015/06/02 by Vjekoslav Kovač, Christoph Thiele, Pavel Zorin-Kranich +1 · 2 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Bilinear interpolation #Function (biology) #Hilbert spectral analysis #Hilbert transform #Integral equation #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Operator (biology) #Pure mathematics #Riesz transform #Singular integral #Triangular matrix #math.CA #msc:42B20
- The Number Theoretic Hilbert Transform
2014/03/15 by Subhash Kak · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Algebra over a field #Algorithm #Chaos-based Image/Signal Encryption #Circulant matrix #Discrete Hartley transform #Discrete mathematics #Fourier analysis #Fourier transform #Fractional Fourier transform #Hilbert transform #Mathematical analysis #Mathematics #Pure mathematics #Quantum mechanics #Scrambling #Statistics #Transformation (genetics) #Transformation matrix #graph theory and CDMA systems
- Convolution operator and maximal function for the Dunkl transform
2005/12/01 by Sundaram Thangavelu, Yuan Xu · 28 citations
Mathematics · #Algebraic and Geometric Analysis #Almost everywhere #Convolution (computer science) #Hilbert transform #Invariant (physics) #Inverse #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematical functions and polynomials #Mathematics #Maximal function #Operator (biology) #Pure mathematics #Reflection group #Weight function
- Relations between fractional operations and time-frequency distributions, and their applications
2001/01/01 by Soo‐Chang Pei, Jian–Jiun Ding · 3 citations
Mathematics · Computer Science · #Mathematical Analysis and Transform Methods #Image and Signal Denoising Methods #Digital Filter Design and Implementation #Fractional Fourier transform #Convolution (computer science) #Fourier transform #Wigner distribution function #Mathematics #Hilbert transform #Discrete Fourier transform (general) #Filter (signal processing) #Ambiguity function #Short-time Fourier transform #Algorithm #Function (biology) #Applied mathematics #Mathematical analysis #Computer science #Fourier analysis #Spectral density #Artificial intelligence #Statistics #Physics
- Wavelets and the Angle between Past and Future
1997/02/01 by S Treil, Sergei Treil, Alexander Volberg +1 · 26 citations
Mathematics · #Advanced Harmonic Analysis Research #Algorithm #Bounded function #Geometry #Haar #Hilbert space #Hilbert transform #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #Mathematical analysis #Mathematics #Projection (relational algebra) #Pure mathematics #Riesz representation theorem #Riesz transform #Scalar (mathematics) #Spectral density #Wavelet
- A survey of invariant Hilbert spaces of analytic functions on bounded symmetric domains
1995/01/01 by Jonathan Arazy · 1 citation
Mathematics · #Algebraic and Geometric Analysis #Analytic and geometric function theory #Analytic function #Bounded function #Hilbert space #Hilbert transform #Holomorphic and Operator Theory #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Statistics
- An Elementary Proof of the Square Summability of the Discrete Hilbert Transform
1994/05/01 by Loukas Grafakos · 1 citation
Mathematics · Computer Science · #Algebraic and Geometric Analysis #Matrix Theory and Algorithms #Mathematical Analysis and Transform Methods #Mathematics #Elementary proof #Square (algebra) #Hilbert transform #Pure mathematics #Arithmetic #Algebra over a field #Discrete mathematics #Statistics #Geometry
- The discrete Hilbert transform
1970/01/01 by Subhash Kak · 1 citation
Computer Science · Physics and Astronomy · Mathematics · #Neural Networks and Applications #Image and Signal Denoising Methods #Scientific Research and Discoveries #Hilbert spectral analysis #Hilbert transform #Transformation (genetics) #Variety (cybernetics) #Mathematics #Applied mathematics #Algorithm #Computer science #Filter (signal processing) #Statistics #Computer vision