Lectures on Pseudo-Differential Operators

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A01=Alexander Nagel
A01=Elias M. Stein
Adjoint
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Asymptotic expansion
Author_Alexander Nagel
Author_Elias M. Stein
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Banach space
Bounded operator
Boundedness
Calculation
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Change of variables
Coefficient
Compact space
Complex analysis
Computation
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Derivative
Differential operator
Disjoint union
Elliptic partial differential equation
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Estimation
Euclidean vector
Existential quantification
Fourier integral operator
Fourier transform
Geometric series
Heat equation
Heisenberg group
Homogeneous distribution
Infimum and supremum
Integer
Integration by parts
Intermediate value theorem
Jacobian matrix and determinant
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Left inverse
Linear map
Mean value theorem
Monomial
Nilpotent group
Operator (physics)
Operator norm
Orthogonal complement
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Parametrix
Parity (mathematics)
Partition of unity
Polynomial
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Projection (linear algebra)
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Pseudo-differential operator
Quadratic function
Regularity theorem
Remainder
Requirement
Right inverse
Scientific notation
Self-reference
Several complex variables
Singular integral
Sobolev space
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Special case
Submanifold
Subset
Sum of squares
Summation
Support (mathematics)
Tangent space
Taylor's theorem
Theorem
Theory
Transpose
Triangle inequality
Uniform boundedness
Upper and lower bounds
Variable (mathematics)
Without loss of generality
Zero set

Product details

  • ISBN 9780691630854
  • Weight: 397g
  • Dimensions: 152 x 235mm
  • Publication Date: 19 Apr 2016
  • Publisher: Princeton University Press
  • Publication City/Country: US
  • Product Form: Hardback
  • Language: English
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The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevant to several complex variables and certain non-elliptic problems. Originally published in 1979. 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.