## T. Kobayashi.
*F-method for symmetry breaking operators*, Differential Geometry and its Applications **33** (2014), 272-289, Special Issue "Interaction of Geometry and Representation Theory: Exploring New Frontiers" (in honor of Michael Eastwood's 60th birthday).
arXiv:1303.3541.
DOI:10.1016/j.difgeo.2013.10.003..

We prove some finiteness theorems
for continuous (respectively, differential)
operators that intertwine two induced representations
of a reductive Lie group
and a reductive subgroup.
We then extend the 'F-method' from local to non-local operators,
aiming for detailed analysis
of such operators.
We illustrate this general idea by concrete examples
in conformal geometry,
and explain how we can discover functional equations
among such operators
by the F-method.
We also indicate
how continuous operators
with meromorphic parameters
yield conformally equivariant differential operators
as residues.

[ arXiv |
preprint version(pdf) |
DOI ]

© Toshiyuki Kobayashi