Cover Image

Quaternionic fractional Fourier transform for Boehmians

UDC 517.9 We construct a Boehmian space of quaternion valued functions using the quaternionic fractional convolution. Applying the convolution theorem, the quaternionic fractional Fourier transform is extended to the context of Boehmians and its properties are established.

Saved in:

Bibliographic Details
Date:	2020
Main Author:	Roopkumar, R.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2020
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/649
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Quaternionic fractional Fourier transform for Boehmians
by: R. Roopkumar
Published: (2020)

On the Fourier series and transformations
by: R. M. Trigub
Published: (2019)

Bergman theory induced by a quaternionic perturbed fractional $\psi$-Fueter operator
by: Cervantes, José O. González, et al.
Published: (2025)

Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space
by: A. Jeribi, et al.
Published: (2023)

Quaternionic Davis–Wielandt shell in a right quaternionic Hilbert space
by: Jeribi, Aref, et al.
Published: (2023)

On Hausdorff-Young inequalities for quantum Fourier transformations
by: Hudson, R.L.
Published: (1997)

On Hausdorff-Young inequalities for quantum fourier transformations
by: Hudson, R. L., et al.
Published: (1997)

Fourier transformation of quasiconvex functions and functions of the class V*
by: R. M. Trigub
Published: (2014)

On the analyticity of the Fourier original and Fourier transform inside alternate angles
by: Cherskii, Yu. I., et al.
Published: (1999)

The generalized integral Fourier transform
by: N. O. Virchenko, et al.
Published: (2015)

On the Fourier transformation of the Hamming norm
by: Chernov , N. G., et al.
Published: (1992)

Frames in Quaternionic Hilbert Spaces
by: K. S. Sharma, et al.
Published: (2019)

On one class of quaternionic mappings
by: T. S. Kuzmenko, et al.
Published: (2016)

Generalized Euler equations in quaternions
by: Koshlyakov, V. N., et al.
Published: (1994)

On one class of quaternionic mappings
by: Kuz’menko, T. S., et al.
Published: (2016)

On the polyconvolution for the Fourier cosine, Fourier sine, and Kontorovich–Lebedev integral transforms
by: Thao, N. X., et al.
Published: (2010)

The Fourier Transform on Quantum Euclidean Space
by: Coulembier, K.
Published: (2011)

The Horn Problem for Real Symmetric and Quaternionic Self-Dual Matrices
by: Coquereaux, R., et al.
Published: (2019)

Note on quaternion linear dynamical systems
by: N. Dilna, et al.
Published: (2023)

Quaternion Analysis of the Modes of Electrical Systems
by: S. I. Klipkov
Published: (2019)

On monogenic mappings of a quaternionic variable
by: V. S. Shpakovskij, et al.
Published: (2016)

Synthesis of matrix representations of generalized quaternions
by: Kalinovsky, Ya. O., et al.
Published: (2014)

Fourier transform of the summing Abel–Poisson function
by: T. V. Zhyhallo, et al.
Published: (2022)

Fourier transforms on weighted amalgam type spaces
by: E. Liflyand
Published: (2021)

Bounds for the right spectral radius of quaternionic matrices
by: I. Ali
Published: (2020)

Bounds for the right spectral radius of quaternionic matrices
by: Ali, I., et al.
Published: (2020)

Fundamental solutions of the Stokes system in quaternion analysis
by: D. C. Dinh
Published: (2022)

The Quaternions and Bott Periodicity Are Quantum Hamiltonian Reductions
by: Johnson-Freyd, T.
Published: (2016)

Quaternion Determination of Attitude based on Measurement of Vectors
by: L. M. Ryzhkov
Published: (2021)

The Taylor and Laurent series in the algebra of complex quaternions
by: T. S. Kuzmenko
Published: (2015)

Fundamental solutions of the Stokes system in quaternion analysis
by: Dinh, Doan Cong, et al.
Published: (2026)

Integral transformation of Euler-Fourier-Euler on the polar axis
by: O. M. Nikitina
Published: (2013)

Wall Crossing and the Fourier-Mukai Transform for Grassmann Flops
by: Priddis, Nathan, et al.
Published: (2025)

Discrete Fourier transform application for wind speed simulation
by: Kulyk М.M., et al.
Published: (2013)

Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions
by: D. C. Dinh
Published: (2024)

Generalized integral theorems for the quaternionic G-monogenic mappings
by: T. S. Kuzmenko, et al.
Published: (2016)

An Analog of the Poincaré Model for a Quaternion Hyperbolic Space
by: Volchkov, V. V., et al.
Published: (2001)

Representation of solutions of the Lamé–Navier system by endomorphisms on quaternions
by: Dinh, Doan Cong, et al.
Published: (2024)

Studying the Properties of a Single Hypercomplex Generalization of Quaternions
by: Turenko, A. S.
Published: (2014)

Slice entire functions of quaternionic variable of bounded index
by: Baksa , V., et al.
Published: (2026)