Geodesic
Complex powers of degenerating differential operators connected with the Klein--Gordon--Fock operator
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2009), pp. 3-12

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We develop a theory of complex powers of the generalized Klein–Gordon–Fock operator $$ m^2-\square-i\lambda\frac{\partial^2}{\partial x^2_1},\qquad\lambda>0. $$ The negative powers of this operator are realized as potential-type integrals with nonstandard metrics, while positive powers inverse to negative ones are realized as approximative inverse operators.
Keywords: potential-type operator, inverse operator, approximative inverse operator.
Mots-clés : symbol 
@article{IVM_2009_9_a0,
     author = {D. V. Vozhzhov and V. A. Nogin},
     title = {Complex powers of degenerating differential operators connected with the {Klein--Gordon--Fock} operator},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--12},
     publisher = {mathdoc},
     number = {9},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_9_a0/}
}
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D. V. Vozhzhov; V. A. Nogin. Complex powers of degenerating differential operators connected with the Klein--Gordon--Fock operator. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2009), pp. 3-12. http://geodesic.mathdoc.fr/item/IVM_2009_9_a0/