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Boundary Value Problems and Singular Pseudo-Differential Operators
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ISBN
:
9780471975571
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Publisher
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John Wiley & Sons
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Subject
:
Encyclopaedias & Reference Works
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Binding
:
Hardcover
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Year
:
1998
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35689.0
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32476.0
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Description
This book covers the analysis of pseudo-differential operators on manifolds with conical points and edges. The standard singular integral operators on the half-axis as well as boundary value problems on smooth manifolds are treated as particular cone and wedge theories. It features a self-contained presentation of the cone pseudo-differential calculus; a general method for pseudo-differential analysis on manifolds with edges for arbitrary model cones in spaces with discrete and continuous asymptotics; the presentation of the algebra of boundary value problems with the transmission property, obtained as a modification of the general wedge theory; and a new exposition of the pseudo-differential calculus with operator-valued symbols, based on twisted homogeneity as well as on parameter-dependent theories and reductions of orders.
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