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Applicable Analysis
An International Journal
Volume 97, 2018 - Issue 15
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Articles

A pair of linear canonical Hankel transformations and associated pseudo-differential operators

Akhilesh PrasadDepartment of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India.Correspondence[email protected]
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Tanuj KumarDepartment of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India.View further author information
Pages 2727-2742 | Received 16 Jan 2017, Accepted 28 Sep 2017, Published online: 12 Oct 2017

Citations (12)

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Akhilesh Prasad & Amit Kumar. (2023) Canonical potential and Lp-Sobolev space involving linear canonical Fourier transform. Integral Transforms and Special Functions 34:4, pages 295-315.
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Articles from other publishers (11)

Ujjawala Singh & Tanuj Kumar. (2023) Composition of linear canonical Hankel pseudo-differential operators. Asian-European Journal of Mathematics 16:08.
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U. K. Mandal & Akhilesh Prasad. (2023) The generalized Kontorovich–Lebedev transform and associated operators. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 117:3.
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U. K. Mandal & Akhilesh Prasad. (2022) Legendre functions, related Lebedev–Skalskaya transforms pairs and associated operators. Advances in Operator Theory 7:4.
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H. M. Srivastava, Manish Kumar & Tusharakanta Pradhan. (2021) A framework of linear canonical Hankel transform pairs in distribution spaces and their applications. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 115:4.
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Zhi-Chao Zhang, Ao Sun, Zi-Yue Liang, Jing-Chi Li, Wen-Hua Liu, Xi-Ya Shi & An-Yang Wu. (2021) Sampling theorems for bandlimited functions in the two-dimensional LCT and the LCHT domains. Digital Signal Processing 114, pages 103053.
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Manish Kumar & Tusharakanta Pradhan. (2021) A New Couple of Sobolev-Type Spaces and Some Applications. International Journal of Applied and Computational Mathematics 7:3.
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Tanuj Kumar & Akhilesh Prasad. (2020) Pseudodifferential operators involving linear canonical Hankel transformations on some ultradifferentiable function spaces. Mathematical Methods in the Applied Sciences 44:6, pages 4686-4700.
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Akhilesh Prasad, Tanuj Kumar & Amit Kumar. (2020) Convolution for a pair of quadratic-phase Hankel transforms. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 114:3.
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Akhilesh Prasad & Tanuj Kumar. (2019) A Pair of Linear Canonical Hankel Transformations of Random Order. Mediterranean Journal of Mathematics 16:6.
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Zhichao Zhang. (2019) Convolution Theorems for Two-Dimensional LCT of Angularly Periodic Functions in Polar Coordinates. IEEE Signal Processing Letters 26:8, pages 1242-1246.
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Tanuj Kumar & Upain Kumar Mandal. (2019) Wavelet transform associated with linear canonical Hankel transform. Mathematical Methods in the Applied Sciences 42:9, pages 3167-3178.
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