Material Type  

 학위논문

 

0016932543

Date and Time of Latest Transaction  

20240214100512

ISBN  

9798379679279

DDC  

900

Author  

Pilla, Michael R.

Title/Author  

Spectra of Composition Operators on the Unit Ball in Two Complex Variables - [electronic resource]

Publish Info  

[S.l.] : Purdue University., 2020

Publish Info  

Ann Arbor : ProQuest Dissertations & Theses, 2020

Material Info  

1 online resource(62 p.)

General Note  

Source: Dissertations Abstracts International, Volume: 84-12, Section: B.

General Note  

Advisor: Cowen, Carl;Roeder, Roland.

학위논문주기  

Thesis (Ph.D.)--Purdue University, 2020.

Restrictions on Access Note  

This item must not be sold to any third party vendors.

Abstracts/Etc  

요약Let φ be a self-map of B2, the unit ball in C2 . We investigate the equation Cφf = λf where we define Cφf := f ◦ φ, with f a function in the Drury Arveson Space. After imposing conditions to keep Cφ bounded and well-behaved, we solve the equation Cφf = λf and determine the spectrum σ(Cφ) in the case where there is no interior fixed point and boundary fixed point without multiplicity. We then investigate the existence of one-parameter semigroups for such maps and discuss some generalizations.

Subject Added Entry-Topical Term  

Maps.

Subject Added Entry-Topical Term  

Eigenvalues.

Subject Added Entry-Topical Term  

Vector space.

Subject Added Entry-Topical Term  

Hilbert space.

Subject Added Entry-Topical Term  

Mathematics.

Added Entry-Corporate Name  

Purdue University.

Host Item Entry  

Dissertations Abstracts International. 84-12B.

Host Item Entry  

Dissertation Abstract International

Electronic Location and Access  

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소장사항  

202402 2024

Control Number  

joongbu:643168