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This paper obtains a class of tight framelet packets on $L^{2} (ℝ^{d})$ from the extension principles and constructs the relationships between the basic framelet packets and the associated filters.

A Cohen type inequality for Fourier expansions of orthogonal polynomials with a nondiscrete Jacobi-Sobolev inner product.

Fejzullahu, Bujar Xh., Marcellán, Francisco (2010)

Journal of Inequalities and Applications [electronic only]

A combinatorial derivation with Schröder paths of a determinant representation of Laurent biorthogonal polynomials.

Kamioka, Shuhei (2008)

The Electronic Journal of Combinatorics [electronic only]

A combinatorial representation with Schröder paths of biorthogonality of Laurent biorthogonal polynomials.

Kamioka, Shuhei (2007)

The Electronic Journal of Combinatorics [electronic only]

A correction to the paper "A multiplier theorem for Jacobi expansion" Studia Math. 52 (1975), pp. 234-261

W. Connett, A. Schwartz (1975)

Studia Mathematica

A counterexample to an assertion due to Blumenthal.

Ifantis, E.K., Siafarikas, P.D. (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

A cryptography using lifting scheme integer wavelet transform over min-max-plus algebra

Mahmud Yunus, Mohamad Ilham Dwi Firmansyah, Kistosil Fahim Subiono (2024)

Kybernetika

We propose a cryptographic algorithm utilizing integer wavelet transform via a lifting scheme. In this research, we construct some predict and update operators within the lifting scheme of wavelet transforms employing operations in min-max-plus algebra, termed as lifting scheme integer wavelet transform over min-max-plus algebra (MMPLS-IWavelet). The analysis and synthesis process on MMPLS-IWavelet is implemented for both encryption and decryption processes. The encryption key comprises a sequence...

A Discrete Wavelet Transform Without Edge Effects Using Wavelet Extrapolation.

John R. Williams, Kevin Amaratunga (1997)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

A dispersion inequality in the Hankel setting

Saifallah Ghobber (2018)

Czechoslovak Mathematical Journal

The aim of this paper is to prove a quantitative version of Shapiro's uncertainty principle for orthonormal sequences in the setting of Gabor-Hankel theory.

A fast algorithm for filtering and wavelet decomposition on the sphere.

Böhme, Martin, Potts, Daniel (2003)

ETNA. Electronic Transactions on Numerical Analysis [electronic only]

A Fast Transform for Spherical Harmonics.

Martin J. Mohlenkamp (1999)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

A general approach for orthogonal 4-tap integer multiwavelet transforms.

Jing, Mingli, Huang, Hua, Liu, Wuling, Qi, Chun (2010)

Mathematical Problems in Engineering

A general construction of nonseparable multivariate orthonormal wavelet bases

Abderrazek Karoui (2008)

Open Mathematics

The construction of nonseparable and compactly supported orthonormal wavelet bases of L 2(R n); n ≥ 2, is still a challenging and an open research problem. In this paper, we provide a special method for the construction of such wavelet bases. The wavelets constructed by this method are dyadic wavelets. Also, we show that our proposed method can be adapted for an eventual construction of multidimensional orthogonal multiwavelet matrix masks, candidates for generating multidimensional multiwavelet...

A general Hilbert space approach to framelets.

Dominik Michel (2008)

Revista Matemática Complutense

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