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[1] Arens , R . Operational calculus of linear relations . Pacific J. Math . 11 , 1 ( 1961 ), 9 – 23 . [2] Kato , T . Trotter’s product formula for an arbitrary pair of self-adjoint contraction semigroups . In Topics in Functional

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A. and de Snoo , H. S. V. , Self-adjoint extensions of symmetric subspaces , Pacific J. Math. , 54 ( 1974 ), 71 – 100 . [4] Kato

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Abstract  

The notion of Hankel operators associated with analytic crossed products were introduced and researched in [2]. In this paper, we study the adjoint of Hankel operators and give necessary and sufficient condition that the adjoint of a Hankel operator is again a Hankel operator.

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Abstract

The Hodge–de Rham Theorem is introduced and discussed. This result has implications for the general study of several partial differential equations. Some propositions which have applications to the proof of this theorem are used to study some related results concerning a class of partial differential equation in a novel way.

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] Sebestyén , Z. , Stochel , J. 1991 Restrictions of positive self-adjoint operators Acta Sci. Math. (Szeged) 55 149 – 154 . [12] Sebestyén , Z. , Stochel , J. 2003 On products of unbounded

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