Operational Calculus A Theory of Hyperfunctions
In the end of the last century, Oliver Heaviside inaugurated an operational calculus in connection with his researches in electromagnetic theory. In his operational calculus, the operator of differentiation was denoted by the symbol "p". The explanation o
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Applied Mathematical Sciences 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35.
John: Partial Differential Equations, 4th ed. Sirovich: Techniques of Asymptotic Analysis. Hale: Theory of Functional Differential Equations, 2nd ed. Percus: Combinatorial Methods. von Mises/Friedrichs: Fluid Dynamics. Freiberger/Grenander: A Short Course in Computational Probability and Statistics. Pipkin: Lectures on Viscoelasticity Theory. Giacaglia: Perturbation Methods in Non-Linear Systems. Friedrichs: Spectral Theory of Operators in Hilbert Space. Stroud: Numerical Quadrature and Solution of Ordinary Differential Equations. Wolovich: Linear Multivariable Systems. Berkovitz: Optimal Control Theory. Bluman/Cole: Similarity Methods for Differential Equations. Yoshizawa: Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions. Braun: Differential Equations and Their Applications, 3rd ed. Lefschetz: Applications of Algebraic Topology. Collatz/Wetterling: Optimization Problems. Grenander: Pattern Synthesis: Lectures in Pattern Theory, Vol I. Marsden/McCracken: The Hopf Bifurcation and its Applications. Driver: Ordinary and Delay Differential Equations. Courant/Friedrichs: Supersonic Flow and Shock Waves. Rouche/Habets/Laloy: Stability Theory by Liapunov's Direct Method. Lamperti: Stochastic Processes: A Survey of the Mathematical Theory. Grenander: Pattern Analysis: Lectures in Pattern Theory, Vol. II. Davies: Integral Transforms and Their Applications. Kushner/Clark: Stochastic Approximation Methods for Constrained and Unconstrained Systems. de Boor: A Practical Guide to Splines. Keilson: Markov Chain Models-Rarity and Exponentiality. de Veubeke: A Course in Elasticity. Sniatycki: Geometric Quantization and Quantum Mechanics. Reid: Sturmian Theory for Ordinary Differential Equations. Meis/Markowitz: Numerical Solution of Partial Differential Equations. Grenander: Regular Structures: Lectures in Pattern Theory, Vol. III. Kevorkian/Cole: Perturbation Methods in Applied Mathematics. Carr: Applications of Centre Manifold Theory.
(continued on inside back cover)
K. Yosida
Operational Calculus A Theory of Hyperfunctions
Springer Science+Business Media, LLC
K. Yosida 3-24-4 Kajiwara Kamakura 247 Japan
AMS Classification: 33A99, 44A40, 44A45
Library of Congress Cataloging in Publication Data Yoshida Kosaku Operational calculus. (Applied mathematical sciences ; v. 55) Bibliography: p. Includes index. 1. Calculus, Operational. 2. Hyperfunctions. 1. Tîtle. n. Series: Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 55. QA432.Y6713 1984 515.7'2 84-10614
Tîtle ofthe original Japanese edition: Enzanshi-oo, Vniversity of Tokyo Press, Tokyo, © 1982 by Kosaku Yosida. © 1984 by Springer Science+Business Media New York Originally published by Springer-Verlag New York Inc. in 1984 AlI rights reserved. No part of this book may be translated or reproduced in any form without written permission from Springer-Verlag, 1
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