Composition and commutator of pseudo-differential operators in the framework of zero-order Mehler–Fock transform domain

Author:

Verma Sandeep Kumar,Prasad AkhileshORCID

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Reference28 articles.

1. Auscher, P., and M. Taylor. 1995. Paradifferential operators and commutator estimates. Communications in Partial Differential Equations 20 (9–10): 1743–1775.

2. Chanillo, S. 1997. Remarks on commutators of pseudo-differential operators. Contemporary Mathematics 205: 33–37.

3. Erdélyi, A., W. Magnus, F. Oberhettinger, and F. Tricomi. 1953. Higher transcendental functions, vol. 1. New York: McGraw-Hill.

4. Fock, V.A. 1943. On the representation of an arbitrary function by integrals involving the Legendre’s functions with a complex index. Doklady Akademii Nauk SSSR 39 (7): 279–283 ((Russian)).

5. Glaeske, H.J., and A. Hess. 1987. On the convolution theorem of the Mehler–Fock transform for a class of generalized functions (I). Mathematische Nachrichten 131 (1): 107–117.

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