Absolutno zvezni spekter posplošenih strun

Kukuljan, Teo (author), Kostenko, Aleksey Oleksiy (mentor)

V delu raziskujemo absolutno zvezni del spektra posplošenih strun. Pokažemo, da se absolutno zvezni spekter nekaterih modelnih primerov posplošenih strun ohrani pod ustreznimi perturbacijami. V prvem delu razvijemo teorijo in orodja, potrebna za definicijo in izračun spektra. V drugem delu predstavimo rezultate in jih dokažemo.

• Language: Slovenian
• Keywords: Absolutno zvezni spekter, posplošene strune
• Work type: Master's thesis/paper
• Typology: 2.09 - Master's Thesis
• Organization: FMF - Faculty of Mathematics and Physics
• Year: 2019
• PID: 20.500.12556/RUL-108293
• UDC: 517.9
• COBISS.SI-ID: 18664537
• Publication date in RUL: 26.06.2019

Secondary language

• Language: English
• Title: On the absolutely continuous spectrum of generalized indefinite strings

Abstract

We investigate the absolutely continuous spectrum of generalized indefinite strings. We show that the absolutely continuous spectrum of two model examples of generalized indefinite strings is preserved under rather wide perturbations. In the first part of the thesis we present the theory and tools needed for the definition and computation of the spectrum. In the second part we present the results and their proofs.

• Keywords: Absolutely continuous spectrum, generalized indefinite strings