The ultrahyperbolic Bessel operator: Some basic properties. (English) Zbl 0881.34040
Summary: We establish several relations between the ultrahyperbolic Bessel operator \(B^\alpha f\), the Klein-Gordon operator, and the generalized Bessel derivatives \(D^\alpha f\).
MSC:
| 34B30 | Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 34L40 | Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) |
Keywords:
distribution theory; potential theory; singular integrals; ultrahyperbolic Bessel operator; Klein-Gordon operatorReferences:
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