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GENERALIZED PSEUDO-DIFFERENTIAL OPERATORS INVOLVING FRACTIONAL FOURIER TRANSFORM
B. B. Waphare,P. D. Pansare 경남대학교 수학교육과 2021 Nonlinear Functional Analysis and Applications Vol.26 No.1
Generalized pseudo-differential operators (PDO) involving fractional Fourier transform associate with the symbol a(x, y) whose derivatives satisfy certain growth condition is defined. The product of two generalized pseudo-differential operators is shown to be a generalized pseudo-differential operator.
M. Ghadiri,B. N. Waphare 한국전산응용수학회 2008 Journal of applied mathematics & informatics Vol.26 No.5
n-ary H_v-structures is a generalisation of both n-ary structures and Hv-structures. A wide class of n-ary Hv-groups is the n-ary P-H_v-groups that is concidered in this paper. In this paper the notion of a normal subgroup of an n-ary P-H_v-group is introduced and the isomorphism theorems for n-ary P-H_v-groups are stated and proved. Also some examples and related properties are investigated.
Ghadiri, M.,Waphare, B.N. Korean Society of Computational and Applied Mathem 2008 Journal of applied mathematics & informatics Vol.26 No.5
n-ary $H_v$-structures is a generalisation of both n-ary structures and $H_v$-structures. A wide class of n-ary $P-H_v$-groups is the n-ary $P-H_v$-groups that is concidered in this paper. In this paper the notion of a normal subgroup of an n-ary $P-H_v$-groups is introduced and the isomorphism theorems for n-ary $P-H_v$-groups are stated and proved. Also some examples and related properties are investigated.