T. Kobayashi. F-method for constructing equivariant differential operators. Geometric Analysis and Integral Geometry (E. T. Quinto, F. B. Gonzalez, and J. Christensen, eds.), Contemporary Mathematics, vol. 598, Amer. Math. Soc., 2013, pp. 141-148, arXiv: 1212.6862. DOI: 10.1090/conm/598/11998..

Using an algebraic Fourier transform of operators, we develop a method (F-method) to obtain explicit highest weight vectors in the branching laws by differential equations. This article gives a brief explanation of the F-method and its applications to a concrete construction of some natural equivariant operators that arise in parabolic geometry and in automorphic forms.

[ DOI |  arXiv | IHES-preprint | preprint version(pdf) ]

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