منابع مشابه
Hermitian Geometry on Resolvent Set
For a tuple A = (A1, A2, ..., An) of elements in a unital Banach algebra B, its projective joint spectrum P (A) is the collection of z ∈ C such that A(z) = z1A1 +z2A2 + · · ·+znAn is not invertible. It is known that the B-valued 1-form ωA(z) = A−1(z)dA(z) contains much topological information about the joint resolvent set P (A). This paper defines Hermitian metric on P (A) through the B-valued ...
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In this paper we continue our program of extending the methods of geometric scattering theory to encompass the analysis of the Laplacian on symmetric spaces of rank greater than one and their geometric perturbations. In our previous work [9] we described the resolvent, and specifically the asymptotic behavior of the Green’s function, on SL(3)/ SO(3) using methods from three-particle scattering....
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ژورنال
عنوان ژورنال: Quarterly of Applied Mathematics
سال: 1957
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/100696