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＜電子ブック＞
The Mellin Transformation and Fuchsian Type Partial Differential Equations / by Zofia Szmydt, B. Ziemian
(Mathematics and its Applications, East European Series ; 56)

版	1st ed. 1992.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1992
本文言語	英語
大きさ	XIV, 222 p : online resource
著者標目	*Szmydt, Zofia author Ziemian, B author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Mathematical analysis LCSH:Functional analysis LCSH:Approximation theory FREE:Differential Equations FREE:Integral Transforms and Operational Calculus FREE:Functional Analysis FREE:Approximations and Expansions
一般注記	I. Introduction -- §1. Terminology and notation -- §2. Elementary facts on complex topological vector spaces -- Exercise -- §3. A review of basic facts in the theory of distributions -- Exercises -- II. Mellin distributions and the Mellin transformation -- §4. The Fourier and the Fourier-Mellin transformations -- Exercises -- §5. The spaces of Mellin distributions with support in a polyinterval -- Exercises -- §6. Operations of multiplication and differentiation in the space of Mellin distributions -- Exercises -- §7. The Mellin transformation in the space of Mellin distributions -- Exercises -- §8. The structure of Mellin distributions -- Exercises -- §9. Paley-Wiener type theorems for the Mellin transformation -- Exercises -- §10. Mellin transforms of cut-off functions (continued) -- Exercises -- §11. Important subspaces of Mellin distributions -- Exercises -- §12. The modified Cauchy transformation -- Exercises -- III. Fuchsian type singular operators -- §13. Fuchsian type ordinary differential operators -- Exercises -- §14. Elliptic Fuchsian type partial differential equations in spaces % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaamiuaiaacI % cacaWG4bWaaSaaaeaacaWGKbaabaGaamizaiaadIhaaaGaaiykaiaa % dwhacqGH9aqpcaWGMbaaaa!3EE9!$$ P(x\frac{d}{{dx}})u = f $$ -- 2. Case of a proper cone -- Exercise -- §15. Fuchsian type partial differential equations in spaces with continuous radial asymptotics -- Appendix. Generalized smooth functions and theory of resurgent functions of Jean Ecalle -- 1. Introduction -- 2. Generalized Taylor expansions.-3. Algebra of resurgent functions of Jean Ecalle -- 4. Applications -- List of Symbols HTTP:URL=https://doi.org/10.1007/978-94-011-2424-9

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