ΣΠΟΥΔΗ ΣΤΑ ΙΔΙΑΖΟΝΤΑ ΜΕΤΡΑ ΠΟΥ ΠΡΟΚΥΠΤΟΥΝ ΑΠΟ ΑΠΕΙΡΟΓΙΝΟΜΕΝΑ

IN THIS THESIS WE ESTABLISH A COMPLETE SYSTEM OF WALSH FUNCTIONS, ON A COMPACT SET E, OF A LOCALLY COMPACT NON-DISCRETE METRIZABLE GROUP, HAVING POSITIVE HAARMEASURE. WE DEAL WITH RIESZ-PRODUCT TYPE MEASURES BASED ON A RADEMACHER SYSTEMOF FUNCTIONS. WE PROVE A SUFFICIENT CONDITION FOR ONE RIESZ PRODUCT MEASURE OFTHIS TYPE TO BE EQUIVALENT TO ANOTHER. ALSO WE SHOW THAT ON ANY LOCALLY COMPACT NON DISCRETE GROUP G, THERE EXIST CONTINUOUS SINGULAR MEASURES, WITH RESPECT TO THE LEFT HAAR MEASURE, WHICH HAVE ABSOLUTELY CONTINUOUS CONVOLUTION SQUARES.FURTHERMORE, WE INTRODUCE THE NOTION OF GENERALIZED RADEMACHER- RIESZ PRODUCT MEASURE. WE STUDY THE ERGODICITY OF THESE MEASURES. NEXT, WE FIND THE HAUSDORFFDIMENSION OF THE SUPPORT OF A GENERALIZED RADEMACHER-RIESZ PRODUCT. FINALLY, WE DETERMINE THE ENTROPY OF SUCH A MEASURE.

Grantor dc:publisher

Aristotle University Of Thessaloniki (AUTH)

Year dc:date

1991

Author dc:creator

• Κουμάντος, Σταμάτιος

• ΑΠΕΙΡΟΓΙΝΟΜΕΝΑ ΤΟΥ RIESZ
• Διάσταση Hausdorff
• Εντροπία
• ΕΡΓΟΔΙΚΟΤΗΤΑ
• ΜΕΤΡΑ ΣΕ ΟΜΑΔΕΣ
• ΣΥΝΑΡΤΗΣΕΙΣ RADEMACHER
• ΣΥΝΕΛΙΞΗ ΜΕΤΡΩΝ
• CONVOLUTION MEASURE ALGEBRA
• Entropy
• ERGODICITY
• Hausdorff dimension
• MEASURES ON GROUPS
• RADEMACHER FUNCTIONS
• Riesz products
• Φυσικές Επιστήμες
• Μαθηματικά
• Natural Sciences
• Mathematics

Language dc:language

gre

Identifier

10.12681/eadd/1648

OAI identifier oai:identifier

oai:10442/1648