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＜E-Book＞
Logarithms and Antilogarithms : An Algebraic Analysis Approach / by D. Przeworska-Rolewicz
(Mathematics and Its Applications ; 437)

Edition	1st ed. 1998.
Publisher	(Dordrecht : Springer Netherlands : Imprint: Springer)
Year	1998
Language	English
Size	IX, 357 p : online resource
Authors	*Przeworska-Rolewicz, D author SpringerLink (Online service)
Subjects	LCSH:Operator theory LCSH:Functional analysis LCSH:Difference equations LCSH:Functional equations LCSH:Differential equations FREE:Operator Theory FREE:Functional Analysis FREE:Difference and Functional Equations FREE:Differential Equations
Notes	1. Preliminaries. Introduction to Algebraic Analysis -- 2. Basic equation. Logarithms and antilogarithms -- 3. Logarithms and antilogarithms of higher order -- 4. Logarithms and antilogarithms of operators having either finite nullity or finite deficiency -- 5. Reduction theorems -- 6. Multiplicative case -- 7. Leibniz algebras -- 8. Linear equations in Leibniz algebras -- 9. Trigonometric mappings and elements -- 10. Semigroup properties of solutions to linear equations -- 11. Operator ehD -- 12. Power mappings. Polylogarithmic functions. Nonlinear equations -- 13. Smooth logarithms and antilogarithms -- 14. Riemann-Hilbert type problems in Leibniz algebras -- 15. Periodic problems -- 16. Equations with multiplicative involutions of order N -- 17. Remarks on the fractional calculus -- Appendix. Functional shifts. By Z. Binderman -- A1. Functions of a right invertible operator -- A2. Functional shifts -- A3. Isomorphisms of spaces of functional shifts -- A4. Functional shifts induced by operators of complex differentiation -- A5. Euler-Maclaurin type formulae -- A6. Differential and integral properties -- References -- Authors Index -- List of Symbols HTTP:URL=https://doi.org/10.1007/978-94-011-5212-9

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