The thesis involes the theory of functions of several complex variable,generaliz-ed analytic functions,Clifford analysis,measure theory and Fourier analysis,for example,boundary value problems for functions of several complex variable in higher dimensional space,the discussion of inhomogeneous C—R system of generalized analyitic functions,nonlinear Dirichlet problems,multiple integral and integral transformation,the solvability and solvable conditions,etc.
3. Properties of the reciprocal of δ_k(n) function and it' s mean value are study, using analytic methods give an exact calculating formula for the reciprocal of δ_k(n) function.
Invariant analytic domains in complex semisimple groups
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We study certain naturally-defined analytic domains in the complexified groupHC which are invariant under left and right translation byH?.
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Gindikin that complex analytic objects related to these domains will provide explicit realizations of unitary representations ofH?.
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Suppose thatG0 is the analytic automorphism group of an irreducible bounded symmetric domain and that some openG0-orbit onZ is a semisimple symmetric space.
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We show that one can lift locally real analytic curves from the orbit space of a compact Lie group representation, and that one can lift smooth curves even globally, but under an assumption.
The present paper treats the compression of a rectangular block between two parallel rough plates as a problem in the theory of plane strain for perfectly plastic-rigid materials.At first, the plastic-rigid theory of plane strain was outlined, then, the solution to the present problem is briefly surveyed. In section 4, the case that is left out in the present literature, viz. when the width-height ratio lies between 1 and 3.64 for partially rough plates is solved. In this treatment, the coefficient of frict...
Let f(z)=z+sum from n=2 to ∞ a_nz~n be regular and schlicht in the unit circle. M. Schiffer proved that the function w=f(z) in the class of such functions, which renders |a_κ| the maximum, maps |z|<1 onto the whole W-plane with a finite number of analytic cuts. For the cases k=4 and k=5 Schaeffer-Spencer [3] and Golusin [5] proved respectively that there is only one cut for the extremal domain. The principal object of the present paper is to show that the same thing holds true for the cases k=6 and k=...
A short review on recent works on the analytic properties of perturbation expansions including those of Tarski, Eden is given. In the appendix, a number of related problems are discussed. In appendix 1, it is explicitly shown that for N-π, N-N scattering, the critical α for all points on the surface of singularities for the simplest 4-pt diagram lies entirely outside the interval (01) of the real axis, except those α corresponding to points on the curve of singularities as required by the Mandelstamm'...