First Order Differential Operators Associated to the Space of q-Monogenic Functions
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-015-0583-4
Abstract: In this paper we characterize all the first order differential operators, with paravector coefficients, associated with the q-monogenic operator. Then initial value problems involving these operators are always solvable provided that the initial function is… read more here.
Keywords: differential operators; operators associated; first order; order differential ... See more keywords
Operator-valued operators that are associated to vector-valued operators
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.04.040
Abstract: This paper is motivated by a long-standing conjecture of Dinculeanu from 1967. Let X and Y be Banach spaces and let Ω be a compact Hausdorff space. Dinculeanu conjectured that there exist operators S∈L(C(Ω),L(X,Y))S∈L(C(Ω),L(X,Y)) which… read more here.
Keywords: associated vector; operators associated; vector valued; operator valued ... See more keywords
Boundary Operators Associated With the Sixth-Order GJMS Operator
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DOI: 10.1093/imrn/rnz121
Abstract: We describe a set of conformally covariant boundary operators associated with the 6th-order Graham--Jenne--Mason--Sparling (GJMS) operator on a conformally invariant class of manifolds that includes compactifications of Poincaré–Einstein manifolds. This yields a conformally covariant energy… read more here.
Keywords: boundary operators; order; gjms; gjms operator ... See more keywords
Variation Operators Associated with the Semigroups Generated by Schrodinger Operators with Inverse Square Potentials
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DOI: 10.1142/s0219530522500038
Abstract: By {T t }t>0 we denote the semigroup of operators generated by the Friedrichs extension of the Schrödinger operator with the inverse square potential La = −∆+ a |x|2 defined in C∞ c (R n… read more here.
Keywords: inverse square; semigroups generated; associated semigroups; operators associated ... See more keywords