Affiliation:
1. Department of Mathematics and Computing Indian Institute of Technology (Indian School of Mines) Dhanbad India
2. Department of Mathematics SRM University‐AP Andhra Pradesh India
Abstract
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.
Funder
University Grants Commission of Bangladesh
Subject
General Engineering,General Mathematics
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