02950nam 22005055 450 991103493890332120251018130357.0981-9699-38-X10.1007/978-981-96-9938-4(MiAaPQ)EBC32364445(Au-PeEL)EBL32364445(CKB)41667613600041(DE-He213)978-981-96-9938-4(EXLCZ)994166761360004120251018d2025 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierThe Bessel Wavelet Transform /by Santosh Kumar Upadhyay, Jay Singh Maurya1st ed. 2025.Singapore :Springer Nature Singapore :Imprint: Springer,2025.1 online resource (284 pages)Industrial and Applied Mathematics,2364-6845981-9699-37-1 An Overview -- On Continuous Bessel Wavelet Transformation Associated with the Hankel-Hausdorff Operator -- Bessel Wavelet Transform on the Spaces with Exponential Growth -- The Bessel Wavelet Convolution Product -- The Relation Between Bessel Wavelet Convolution Product and Hankel Convolution Product Involving Hankel Transform -- Integrability of the Continuum Bessel Wavelet Kernel -- Continuous Bessel Wavelet Transform of Distributions -- Characterizations of the Bessel Wavelet Transform in Besov and Triebel-Lizorkin Type Spaces -- Characterizations of the Inversion Formula of the Continuous Bessel Wavelet Transform of Distributions in -- The Continuous Bessel Wavelet Transform of Distributions in 𝜷′ 𝝁-Space -- The Bessel wavelet transform of distributions in 𝑯′𝝁,2 space.This book presents the theory of Bessel wavelet transformation involving Hankel transformation. Several properties of the Bessel wavelet transform are discussed in the classical and distributional sense. Other related results of Hankel transform, Hankel convolution and basic results of distributions are also explained. Throughout the book, the reader is assumed to have an understanding of the elements of analysis. Introductory chapters cover the prerequisites for distribution theory. This book is useful for graduate students and researchers in mathematics, physics, engineering and applied sciences.Industrial and Applied Mathematics,2364-6845Mathematical analysisAnalysisIntegral Transforms and Operational CalculusMathematical analysis.Analysis.Integral Transforms and Operational Calculus.515Upadhyay Santosh Kumar1754499Maurya Jay Singh1853388MiAaPQMiAaPQMiAaPQBOOK9911034938903321The Bessel Wavelet Transform4449498UNINA