Explicit formulas for Green's functions on the annulus and on the Möbius strip

Document identifier: oai:DiVA.org:ltu-7575
Access full text here:10.1023/A:1006150004533
Keyword: Natural Sciences, Mathematics, Mathematical Analysis, Naturvetenskap, Matematik, Matematisk analys
Publication year: 1998
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Abstract:

Given a fixed point free antianalytic involution k of a domain G in thecomplex plane, bounded by a finite number of analytic curves, k-invariant Green sfunctions are defined on G. The Lindelöf s principle is extended to k-invariantGreen s functions. When G is the annulus, k-invariant Green s functions areobtained in the explicit form. Since the factorization of the annulus by the group k generated by k produces a Möbius strip, the respective result helped us to obtain explicitforms for Green s functions on the Möbius strip.symmetric Riemann surface - nonorientable Klein surface - Green s function - k-invariant Green s function

Authors

Ilie Barza

Luleå tekniska universitet
Other publications >>

Dorin Ghisa

Glendon College, York University, Toronto
Other publications >>

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    header: 
        identifier: oai:DiVA.org:ltu-7575
        datestamp: 2021-04-19T12:58:13Z
        setSpec: SwePub-ltu
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                version: 3.7
            recordInfo: 
                recordContentSource: ltu
                recordCreationDate: 2016-09-29
            identifier: 
                http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-7575
                10.1023/A:1006150004533
                2-s2.0-17444439590
                5f5be170-b079-11db-840a-000ea68e967b
            titleInfo: 
                @attributes: 
                    lang: eng
                title: Explicit formulas for Green's functions on the annulus and on the Möbius strip
            abstract: 
Given a fixed point free antianalytic involution k of a domain G in thecomplex plane bounded by a finite number of analytic curves k-invariant Green sfunctions are defined on G. The Lindelöf s principle is extended to k-invariantGreen s functions. When G is the annulus k-invariant Green s functions areobtained in the explicit form. Since the factorization of the annulus by the group k generated by k produces a Möbius strip the respective result helped us to obtain explicitforms for Green s functions on the Möbius strip.symmetric Riemann surface - nonorientable Klein surface - Green s function - k-invariant Green s function

            subject: 
                    @attributes: 
                        lang: eng
                        authority: uka.se
                    topic: 
                        Natural Sciences
                        Mathematics
                        Mathematical Analysis
                    @attributes: 
                        lang: swe
                        authority: uka.se
                    topic: 
                        Naturvetenskap
                        Matematik
                        Matematisk analys
                    @attributes: 
                        lang: swe
                        authority: ltu
                    topic: Matematik
                    genre: Research subject
                    @attributes: 
                        lang: eng
                        authority: ltu
                    topic: Mathematics
                    genre: Research subject
            language: 
                languageTerm: eng
            genre: 
                publication/journal-article
                ref
            note: 
                Published
                2
                
Godkänd; 1998; 20070130 (kani)

            name: 
                    @attributes: 
                        type: personal
                    namePart: 
                        Barza
                        Ilie
                    role: 
                        roleTerm: aut
                    affiliation: Luleå tekniska universitet
                    @attributes: 
                        type: personal
                    namePart: 
                        Ghisa
                        Dorin
                    role: 
                        roleTerm: aut
                    affiliation: Glendon College York University Toronto
            originInfo: 
                dateIssued: 1998
            relatedItem: 
                @attributes: 
                    type: host
                titleInfo: 
                    title: Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications
                identifier: 
                    0167-8019
                    1572-9036
                part: 
                    detail: 
                            @attributes: 
                                type: volume
                            number: 54
                            @attributes: 
                                type: issue
                            number: 3
                    extent: 
                        start: 289
                        end: 302
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                form: print
            typeOfResource: text