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Self-adjoint operator extensions and clifford i algebras
Journal article

Self-adjoint operator extensions and clifford i algebras

Complex variables, theory & application, Vol.24(1-2), pp.13-30
01/01/1994
DOI: 10.1080/17476939408814695

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Abstract

It is known that commuting self-adjoint operator extensions may in general not exist for the commuting symmertric partial derivative operators on an open bounded set in finite dimensions. To still get a spectral theory and harmonic analysis decomposition for a general clas of such problems, we introduce (and solve) an associated operator extension problem for the Dirac operator. Our method is algebraic in flavor, and it also applics to a similar problem in infinite dimensions.

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