Ten Equivalent Definitions of the Fractional Laplace Operator - Kwasnicki, Mateusz (Fractional calculus & applied analysis, 2017)
Keywords: 35S05; 47G30; 60J35; Abstract Harmonic Analysis; Analysis; Balakrishnan’s formula; Bochner’s subordination; Continuity (mathematics); Derivatives; Dynkin’s characteristic operator; Equivalence; extension technique; fractional Laplacian; Functional Analysis; Functions (mathematics); Integral Transforms; Mathematical analysis; Mathematics; Operational Calculus; Operators; Operators (mathematics); Riesz potential; Scripts; singular integral; Survey Paper; weak definition; Dynkin’s characteristic operator; extension technique; 47G30; fractional Laplacian; singular integral; Bochner’s subordination; 60J35; Balakrishnan’s formula; 35S05; Riesz potential; weak definition