Marvels of fractional calculus

DOI10.1515/tmj-2017-0019zbMath1364.26008OpenAlexW2610381670MaRDI QIDQ2628079

P. K. Banerji, Deshna Loonker

Publication date: 12 June 2017

Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/tmj-2017-0019

zbMATH Keywords

Stieltjes transformBoehmianswavelet transformfractional calculusdistribution spacesLaplace-Hankel transform

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Operations with distributions and generalized functions (46F10) Fractional derivatives and integrals (26A33) Numerical methods for wavelets (65T60) Laplace transform (44A10) Distributions, generalized functions, distribution spaces (46F99)

Related Items (2)

Fractional calculus in abstract space and its application in fractional Dirichlet type problems ⋮ On functorial (co)localization of algebras and modules over operads

Cites Work

• Boehmians and generalized functions
• Ondelettes et bases hilbertiennes. (Wavelets and Hilbert bases)
• Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
• Wavelet transforms for integrable Boehmians
• The Support of Mikusinski Operators
• Painless nonorthogonal expansions
• Orthonormal bases of compactly supported wavelets
• A Cardinal Spline Approach to Wavelets
• On Compactly Supported Spline Wavelets and a Duality Principle
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
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