Spelling suggestions: "subject:"index off elliptic operators inn subspace"" "subject:"index off elliptic operators iin subspace""
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Elliptic operators in even subspacesSavin, Anton, Sternin, Boris January 1999 (has links)
An elliptic theory is constructed for operators acting in subspaces defined via even pseudodifferential projections. Index formulas are obtained for operators on compact manifolds without boundary and for general boundary value problems.
A connection with Gilkey's theory of η-invariants is established.
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Elliptic operators in odd subspacesSavin, Anton, Sternin, Boris January 1999 (has links)
An elliptic theory is constructed for operators acting in subspaces defined via even pseudodifferential projections. Index formulas are obtained for operators on compact manifolds without boundary and for general boundary value problems.
A connection with Gilkey's theory of η-invariants is established.
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Elliptic operators in subspaces and the eta invariantSchulze, Bert-Wolfgang, Savin, Anton, Sternin, Boris January 1999 (has links)
The paper deals with the calculation of the fractional part of the η-invariant for elliptic self-adjoint operators in topological terms. The method used to obtain the corresponding formula is based on the index theorem for elliptic operators in subspaces obtained in [1], [2]. It also utilizes K-theory with coefficients Zsub(n). In particular, it is shown that the group K(T*M,Zsub(n)) is realized by elliptic operators (symbols) acting in appropriate subspaces.
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