Shifts and periodicity in algebraic analysis
DOI10.2478/s13540-011-0012-xzbMath1311.47003OpenAlexW2088065098MaRDI QIDQ2347534
Publication date: 28 May 2015
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/s13540-011-0012-x
perturbationumbral calculusshifthypercyclic operatoralgebraic analysisharmonic logarithmsymbol functionLeibniz algebradifferential-difference equationintermediate valuelogarithmic mappingalgebraic operatorbinomial formularight invertible operatormultiplicative operatorantilogarithmic mappingLeibniz condition\(R\)-shiftalmost quasinilpotent operatorexponential-periodic elementinvolution of order \(n\)oscillatory elementperiodic elementpolynomial-periodic elementtrue shift
Groups and semigroups of linear operators (47D03) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Entire functions of one complex variable (general theory) (30D20) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Rings with polynomial identity (16R99) Cyclic vectors, hypercyclic and chaotic operators (47A16)
Cites Work
- Nonlocal operational calculi for Dunkl operators
- True shifts
- The umbral calculus
- Formal power series of logarithmic type
- Composition operators and classical function theory
- Disconjugacy
- TRUE SHIFTS REVISITED
- Fourier-like methods for equations with separable variables
- POLYNOMIAL-PERIODIC SOLUTIONS OF DIFFERENTIAL-DIFFERENCE EQUATIONS
- A Unified Approach to Shifts Induced by Right Invertible Operators
- On perturbations of deviations of periodic differential-difference equations in Banach spaces
- GENERALIZED STURM SEPARATION THEOREM
- Algebraic analysis in structures with the Kaplansky–Jacobson property
- Almost quasinilpotent right inverses
- On orbits of elements
- On equations with several involutions of different orders and its applications to partial differential-difference equations
- Postmodern logarithmo-technia
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