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Displaying 41 – 60 of 461

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 direct proof of van der Vaart's theorem

J. Bourgain, H. Sato (1986)

Studia Mathematica

A discrete Fourier kernel and Fraenkel's tiling conjecture

Ron Graham, Kevin O'Bryant (2005)

Acta Arithmetica

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 divergent multiple Fourier series of power series type

J. Ash, Lawrence Gluck (1972)

Studia Mathematica

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 formula for the number of solutions of a restricted linear congruence

K. Vishnu Namboothiri (2021)

Mathematica Bohemica

Consider the linear congruence equation $x_{1} + ... + x_{k} \equiv b (mod n^{s})$ for $b \in ℤ$ , $n, s \in ℕ$ . Let ${(a, b)}_{s}$ denote the generalized gcd of $a$ and $b$ which is the largest $l^{s}$ with $l \in ℕ$ dividing $a$ and $b$ simultaneously. Let $d_{1}, ..., d_{τ (n)}$ be all positive divisors of $n$ . For each $d_{j} ∣ n$ , define $𝒞_{j, s} (n) = {1 \leq x \leq n^{s} : {(x, n^{s})}_{s} = d_{j}^{s}}$ . K. Bibak et al. (2016) gave a formula using Ramanujan sums for the number of solutions of the above congruence equation with some gcd restrictions on $x_{i}$ . We generalize their result with generalized gcd restrictions on $x_{i}$ and prove that for the above linear congruence, the number of solutions...

A Fourier inequality with Ap and weak-L1 weight.

H. P. Heinig (1993)

Collectanea Mathematica

The object of this note is to generalize some Fourier inequalities.

A further note on the P.N.T. error term

Andrew Grant (1987)

Časopis pro pěstování matematiky

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

A general theorem on Nörlund summability of Fourier series with applications

Mishra, K.N., Srivastava, R.S.L. (1983/1984)

Portugaliae mathematica

A generalization of 2-periodic trigonometric interpolation.

Jiang, Tianzi (2000)

Southwest Journal of Pure and Applied Mathematics [electronic only]

A generalization of Bateman's expansion and finite integrals of Sonine's and Feldheim's type

Giacomo Gigante (2010)

Colloquium Mathematicae

Let ${A_{k}}_{k = 0}^{+ \infty}$ be a sequence of arbitrary complex numbers, let α,β > -1, let Pₙα,βn=0+∞ $b e t h e J a c o b i p o l y n o m i a l s a n d d e f i n e t h e f u n c t i o n s$ $H ₙ (α, z) ...$

A generalization of Riesz-Fischer theorem

S. M. Mazhar (1978)

Archivum Mathematicum

A Generalized Convolution with a Weight Function for the Fourier Cosine and Sine Transforms

Xuan Thao, Nguyen, Kim Tuan, Vu, Minh Khoa, Nguyen (2004)

Fractional Calculus and Applied Analysis

A generalized convolution with a weight function for the Fourier cosine and sine transforms is introduced. Its properties and applications to solving a system of integral equations are considered.

A Generalized Hecke Identity.

Jean-Luis Clerc (2000)

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

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