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Here Michael Taylor develops pseudodifferential operators as a tool for treating problems in linear partial differential equations, including existence, uniqueness, and estimates of smoothness, as well as other qualitative properties.Originally published in 1981.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Differential equations, Partial. --- Pseudodifferential operators. --- Airy function. --- Antiholomorphic function. --- Asymptotic expansion. --- Banach space. --- Besov space. --- Bessel function. --- Big O notation. --- Bilinear form. --- Boundary value problem. --- Bounded operator. --- Bounded set (topological vector space). --- Canonical transformation. --- Cauchy problem. --- Cauchy–Kowalevski theorem. --- Cauchy–Riemann equations. --- Change of variables. --- Characteristic variety. --- Compact operator. --- Constant coefficients. --- Continuous linear extension. --- Convex cone. --- Differential operator. --- Dirac delta function. --- Discrete series representation. --- Distribution (mathematics). --- Egorov's theorem. --- Eigenfunction. --- Eigenvalues and eigenvectors. --- Eikonal equation. --- Elliptic operator. --- Equation. --- Existence theorem. --- Existential quantification. --- Formal power series. --- Fourier integral operator. --- Fourier inversion theorem. --- Fubini's theorem. --- Fundamental solution. --- Hardy–Littlewood maximal function. --- Harmonic conjugate. --- Heaviside step function. --- Hilbert transform. --- Holomorphic function. --- Homogeneous function. --- Hyperbolic partial differential equation. --- Hypersurface. --- Hypoelliptic operator. --- Hölder condition. --- Inclusion map. --- Infimum and supremum. --- Initial value problem. --- Integral equation. --- Integral transform. --- Integration by parts. --- Interpolation space. --- Lebesgue measure. --- Linear map. --- Lipschitz continuity. --- Lp space. --- Marcinkiewicz interpolation theorem. --- Maximum principle. --- Mean value theorem. --- Modulus of continuity. --- Mollifier. --- Norm (mathematics). --- Open mapping theorem (complex analysis). --- Open set. --- Operator (physics). --- Operator norm. --- Orthonormal basis. --- Parametrix. --- Partial differential equation. --- Partition of unity. --- Polynomial. --- Probability measure. --- Projection (linear algebra). --- Pseudo-differential operator. --- Riemannian manifold. --- Self-adjoint operator. --- Self-adjoint. --- Singular integral. --- Skew-symmetric matrix. --- Smoothness. --- Sobolev space. --- Special case. --- Spectral theorem. --- Spectral theory. --- Support (mathematics). --- Symplectic vector space. --- Taylor's theorem. --- Theorem. --- Trace class. --- Unbounded operator. --- Unitary operator. --- Vanish at infinity. --- Vector bundle. --- Wave front set. --- Weierstrass preparation theorem. --- Wiener's tauberian theorem. --- Zero of a function.