The Riesz representation theorem on time scales

Mathematical and Computer Modelling

Volumn 55, Issue 3-4, 2012, Pages 1570-1579

  Huseynov, Adil ^a  

^a ANKARA UNIVERSITY   (Turkey)

Author keywords

Delta derivative; Delta integral; Linear functional; Riesz representation; Time scale

Indexed keywords

COMPACT METRIC SPACES; CONTINUOUS FUNCTIONS; DELTA INTEGRAL; DIFFERENT TIME SCALE; LINEAR FUNCTIONAL; LINEAR FUNCTIONALS; METRIC SPACES; REPRESENTATION THEOREM; RIESZ REPRESENTATION; TIME-SCALES;

DELTA FUNCTIONS; SET THEORY; TOPOLOGY;

TIME MEASUREMENT;

EID: 84855189183     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2011.10.055     Document Type: Article

References (10)

1. Riesz F. Sur les opérations fonctionelles linéaires. C. R. Acad. Sci. Paris 1909, 149:974-977.
2. Kreyszig E. Introductory Functional Analysis with Applications 1978, Wiley, New York.
3. Hilger S. Analysis on measure chains-a unified approach to continuous and discrete calculus. Results Math. 1990, 18:18-56.
4. Advances in Dynamic Equations on Time Scales 2003, Birkhäuser, Boston. M. Bohner, A. Peterson (Eds.).
5. Bohner M., Peterson A. Dynamic Equations on Time Scales: An Introduction with Applications 2001, Birkhäuser, Boston.
6. Huseynov A. Eigenfunction expansion associated with the one-dimensional Schrödinger equation on semi-infinite time scale intervals. Rep. Math. Phys. 2010, 66:207-234.
7. Rudin W. Real and Complex Analysis 1974, McGraw-Hill, New York. 2nd ed.
8. Apostol T.M. Mathematical Analysis 1974, Addison-Wesley, Reading. 2nd ed.
9. Guseinov G.Sh. Integration on time scales. J. Math. Anal. Appl. 2003, 285:107-127.
10. Sailer S. Riemann-Stieltjes Integrale auf Zeitmengen (Schriftliche Hausarbeit, vorgelect bei Prof. Dr. B. Aulbach) 1992, Universität Augsburg.