A new structure of an integral operator associated with trigonometric Dunkl settings
Copyright policy )A new structure of an integral operator associated with trigonometric Dunkl settings
AbstractIn this paper, we discuss a generalization to the Cherednik–Opdam integral operator to an abstract space of Boehmians. We introduce sets of Boehmians and establish delta sequences and certain class of convolution products. Then we prove that the extended Cherednik–Opdam integral operator is linear, bijective and continuous with respect to the convergence of the generalized spaces of Boehmians. Moreover, we derive embeddings and discuss properties of the generalized theory. Moreover, we obtain an inversion formula and provide several results.
- Hasan Kalyoncu University Turkey
- Facualty of Engineering
- Al-Balqa` Applied University Jordan
- Ajman University of Science and Technology United Arab Emirates
- Faculty of Engineering
Artificial intelligence, Class (philosophy), Polynomial, Biochemistry, Gene, Convolution (computer science), Differential equation, Cherednik-Opdam integral operator, Applied Mathematics, Bijection, Differential-difference operator, Partial differential equation, Discrete mathematics, Finsler Geometry in Physics and Cosmology, Chemistry, Physical Sciences, Trigonometry, differential-difference operator, Artificial neural network, polynomial, Generalization, Operator (biology), Mathematical analysis, Cherednik–Opdam integral operator, Machine learning, QA1-939, FOS: Mathematics, Convolution product, Difference operators, Advanced Techniques in Digital Signal Processing, 20C20, Integral operators, Algebra over a field, Semidefinite Programming, 54C40, Fractional Fourier Transform Analysis, Pure mathematics, Astronomy and Astrophysics, Differential–difference operator, convolution product, Computer science, 14E20, Physics and Astronomy, Signal Processing, Computer Science, Repressor, 46E25, Boehmian, Transcription factor, Mathematics, Ordinary differential equation
Artificial intelligence, Class (philosophy), Polynomial, Biochemistry, Gene, Convolution (computer science), Differential equation, Cherednik-Opdam integral operator, Applied Mathematics, Bijection, Differential-difference operator, Partial differential equation, Discrete mathematics, Finsler Geometry in Physics and Cosmology, Chemistry, Physical Sciences, Trigonometry, differential-difference operator, Artificial neural network, polynomial, Generalization, Operator (biology), Mathematical analysis, Cherednik–Opdam integral operator, Machine learning, QA1-939, FOS: Mathematics, Convolution product, Difference operators, Advanced Techniques in Digital Signal Processing, 20C20, Integral operators, Algebra over a field, Semidefinite Programming, 54C40, Fractional Fourier Transform Analysis, Pure mathematics, Astronomy and Astrophysics, Differential–difference operator, convolution product, Computer science, 14E20, Physics and Astronomy, Signal Processing, Computer Science, Repressor, 46E25, Boehmian, Transcription factor, Mathematics, Ordinary differential equation
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