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Tables of Contents for Logarithms and Antilogarithms
Chapter/Section Title
Page #
Page Count
Preface
vii
Preliminaries. Introduction to Algebraic Analysis
1
10
Basic equation. Logarithms and antilogarithms
11
28
Logarithms and antilogarithms of higher order
39
13
Logarithms and antilogarithms of operators having either finite nullity or finite deficiency
52
11
Reduction theorems
63
19
Multiplicative case
82
10
Leibniz algebras
92
21
Linear equations in Leibniz algebras
113
23
Trigonometric mappings and elements
136
13
Semigroup properties of solutions to linear equations
149
7
Operator ehD
156
11
Power mappings. Polylogarithmic functions. Nonlinear equations
167
20
Smooth logarithms and antilogarithms
187
14
Riemann-Hilbert type problems in Leibniz algebras
201
15
Periodic problems
216
20
Equations with multiplicative involutions of order N
236
20
Remarks on the fractional calculus
256
3
APPENDIX. Functional shifts.
259
65
Z. Binderman
A1. Functions of a right invertible operator
259
5
A2. Functional shifts
264
7
A3. Isomorphisms of spaces of functional shifts
271
14
A4. Functional shifts induced by operators of complex differentiation
285
11
A5. Euler-Maclaurin type formulae
296
8
A6. Differential and integral properties
304
20
References
324
10
Subject Index
334
7
Authors Index
341
2
List of Symbols
343