Pseudo‐differential operator in quaternion space
Copyright policy )Pseudo‐differential operator in quaternion space
This paper introduces the quaternion Schwarz type space, and quaternion linear canonical transform (QLCT) mapping properties are also discussed. Further, the quaternion pseudo‐differential operator (QPDO) associated with QLCT is described. Some of its characteristics, including estimates, boundedness, and integral representation in quaternion Sobolev type space, are derived. Some applications of QLCT, quaternion differential equations, are also discussed.
- SRM University India
- Indian Institute of Technology Dhanbad India
Convolution as an integral transform, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, quaternion linear canonical transform, Pseudodifferential operators as generalizations of partial differential operators, Special integral transforms (Legendre, Hilbert, etc.), Quaternion and other division algebras: arithmetic, zeta functions, Pseudodifferential operators, pseudo-differential operator
Convolution as an integral transform, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, quaternion linear canonical transform, Pseudodifferential operators as generalizations of partial differential operators, Special integral transforms (Legendre, Hilbert, etc.), Quaternion and other division algebras: arithmetic, zeta functions, Pseudodifferential operators, pseudo-differential operator
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