Fractional powers of elliptic differential operators

hermitian lattice, order in quadratic field, isogeny class, polarization, curves with many points over finite fields, Siegel modular form, theta constant, theta null point,

THEOREM 1. — There exists a constant C^ depending only of the fibration such that for any effective divisor D on X which does not contain in its support any component of any

If Q is an open subset of W and <§) is harmonic on W, then the set of all bounded functions in ^p^ forms a Banach space with \\h\\ == sup |A(^)|. If, however S$ and St are

GUILLEMIN, The spectrum of positive elliptic operators and periodic bicharacteristics, Invent. STERNBERG, The metaplectic représentation, Weyl operators and spectral

KAMIN, Singular perturbation problems and the Hamilton-Jacobi equation, Integral Equations Operator Theory 9 (1986),

In this paper we prove analoguous results for complex powers of general elliptic operators with analytic coefficients.. Complex powers of elliptic differential

In Theorem 2 we prove sufficient conditions to determine when such an approximation is valid in the case of taminated composite media, that is, when the coefficients

In a subsequent note, we will give a geometric interpretation of the piece- wise polynomial function m, when D is a Dirac operator twisted by a line bundle L in term of the moment