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Microdifferential Systems in the Complex Domain (Paperback, Softcover reprint of the original 1st ed. 1985)
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Microdifferential Systems in the Complex Domain (Paperback, Softcover reprint of the original 1st ed. 1985)
Series: Grundlehren der mathematischen Wissenschaften, 269
Expected to ship within 10 - 15 working days
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The words "microdifferential systems in the complex domain" refer
to seve ral branches of mathematics: micro local analysis, linear
partial differential equations, algebra, and complex analysis. The
microlocal point of view first appeared in the study of propagation
of singularities of differential equations, and is spreading now to
other fields of mathematics such as algebraic geometry or algebraic
topology. How ever it seems that many analysts neglect very
elementary tools of algebra, which forces them to confine
themselves to the study of a single equation or particular square
matrices, or to carryon heavy and non-intrinsic formula tions when
studying more general systems. On the other hand, many alge braists
ignore everything about partial differential equations, such as for
example the "Cauchy problem," although it is a very natural and
geometri cal setting of "inverse image." Our aim will be to present
to the analyst the algebraic methods which naturally appear in such
problems, and to make available to the algebraist some topics from
the theory of partial differential equations stressing its
geometrical aspects. Keeping this goal in mind, one can only remain
at an elementary level."
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