Cart
Free US shipping over $10
Proud to be B-Corp

The Mellin Transformation and Fuchsian Type Partial Differential Equations Zofia Szmydt

The Mellin Transformation and Fuchsian Type Partial Differential Equations By Zofia Szmydt

The Mellin Transformation and Fuchsian Type Partial Differential Equations by Zofia Szmydt


$73,79
Condition - New
Only 2 left

The Mellin Transformation and Fuchsian Type Partial Differential Equations Summary

The Mellin Transformation and Fuchsian Type Partial Differential Equations by Zofia Szmydt

'Et moi, .. Of si j'avail su comment en revenir. je One selVice mathematics has rendered the n'y semis point alll!.' human race. It has put common sense back Jules Verne when: it belongs, on the topmon shelf next to the dusty canister labelled 'discarded nonsense'. The series is divergent; therefore we may be Eric T. Bell able to do something with iL O. Heaviside Mathematics is a tool for thought A highly necessary tool in a world where both feedback and nonlineari- ties abound, Similarly. all kinds of parts of mathematics serve as tools for other parts and for other sci- ences, Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser- vice topology has rendered mathematical physics .. , '; 'One service logic has rendered computer science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Table of Contents

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.

Additional information

NPB9789401050692
9789401050692
9401050694
The Mellin Transformation and Fuchsian Type Partial Differential Equations by Zofia Szmydt
New
Paperback
Springer
2012-10-26
222
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a new book - be the first to read this copy. With untouched pages and a perfect binding, your brand new copy is ready to be opened for the first time

Customer Reviews - The Mellin Transformation and Fuchsian Type Partial Differential Equations