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As a matter of fact, we are going to prove a multi-variable analytic Fredholm theorem, establish a trace-determinant formula, and derive the result mentioned above as a corollary..
Gieseker - Petri theorem ([4] or [1], Ch. Proposition bal:prop2.1 is almost the best a priori possible result. Let F be the general vector bundle obtained from E making a
In theorem 3, we will prove that every regular pseudoproduct space which is embedded in a projective space is, up to projections, a Segre variety.. A similar result holds for
Motivated by the Cauchy-Davenport theorem for sumsets, and its interpretation in terms of Cayley graphs, we prove the following main result: There is a universal constant � > 0
The use of the diagonalization theorem allows us to study the Cauchy problem associated with equation (1.1) independently of compact- ness, and in this way, the result obtained
∂ 2 ); this representation allows them to reduce the controllability of this partial differential equation with delay to a family of ordinary delay equations and prove the main
In Section 4 we obtain the asymptotic velocity of a second class particle for the zero-range process in a non-homogeneous environment and use this result to prove the main
5 August 2008 CONTENTS RESEARCH PAPERS The Exponential Diophantine Equation Ax2 + By2 = and Its Applications Zhenfu Cao ,Chuan I Chu and Wai Chee Shiu 1015 Some Characterizations of
