Higher Dimensional Continuous Wavelet Transform in Wiener Amalgam Spaces

DOI10.1007/978-3-319-06554-0_33zbMath1358.42038OpenAlexW2146661680MaRDI QIDQ2945452

Ferenc Weisz

Publication date: 11 September 2015

Published in: Topics in Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06554-0_33

zbMATH Keywords

inversion formulacontinuous wavelet transformWiener amalgam spaces\(\theta\)-summability

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Function spaces arising in harmonic analysis (42B35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Inverse continuous wavelet transform in pringsheim's sense on Wiener amalgam spaces
• Pointwise convergence in Pringsheim's sense of the summability of Fourier transforms on Wiener amalgam spaces
• Pointwise convergence of the Calderón reproducing formula
• Pointwise analysis of Riemann's ``nondifferentiable function
• Local convergence for wavelet expansions
• On the reproducing formula of Calderón
• Foundations of time-frequency analysis
• (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series
• Calderón's reproducing formula and singular integral operators on a real line
• How fast and in what sense(s) does the Calderón reproducing formula converge?
• Convergence of the inverse continuous wavelet transform in Wiener amalgam spaces
• Inversion formulas for the continuous wavelet transform
• Weighted Littlewood-Paley theory and exponential-square integrability
• Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
• The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms
• Almost everywhere and norm convergence of the inverse continuous wavelet transform in Pringsheim’s sense
• CONVERGENCE OF THE CONTINUOUS WAVELET TRANSFORMS ON THE ENTIRE LEBESGUE SET OF L_p-FUNCTIONS
• Ten Lectures on Wavelets
• Pointwise convergence of wavelet expansions
• Pointwise convergence of a class of non-orthogonal wavelet expansions
• Summability of Multi-Dimensional Fourier Series and Hardy Spaces
• Summability of Multi-Dimensional Trigonometric Fourier Series
• Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
• An introduction to frames and Riesz bases