TY  - BOOK
AU  - Grudzinski,Olaf von
TI  - Quasihomogeneous distributions
T2  - North-Holland mathematics studies
SN  - 9780444886705
AV  - QA324 .G78 1991eb
U1  - 515/.782 22
PY  - 1991///
CY  - Amsterdam, New York, New York, N.Y., U.S.A
PB  - North-Holland, Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.
KW  - Theory of distributions (Functional analysis)
KW  - Distributions, Th�eorie des (Analyse fonctionnelle)
KW  - Distributions, th�eorie des (Analyse fonctionnelle)
KW  - ram
KW  - fast
KW  - Electronic books
N1  - Includes bibliographical references (p. 445-446) and index
N2  - This is a systematic exposition of the basics of the theory of quasihomogeneous (in particular, homogeneous) functions and distributions (generalized functions). A major theme is the method of taking quasihomogeneous averages. It serves as the central tool for the study of the solvability of quasihomogeneous multiplication equations and of quasihomogeneous partial differential equations with constant coefficients. Necessary and sufficient conditions for solvability are given. Several examples are treated in detail, among them the heat and the Sch�rdinger equation. The final chapter is devoted to quasihomogeneous wave front sets and their application to the description of singularities of quasihomogeneous distributions, in particular to quasihomogeneous fundamental solutions of the heat and of the Sch�rdinger equation
UR  - http://www.sciencedirect.com/science/book/9780444886705
UR  - http://www.sciencedirect.com/science/publication?issn=03040208&volume=165
ER  -