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入学希望の方 修了生の方 企業・研究者の方 教職員・学生 //--> Sitemap Access Japanese About GSISMessage from the DeanIntroduction to GSISGSIS guide bookOrganizationSNSJournal: Interdisciplinary Information SciencesContactsFacultyLaboratories by DepartmentComputer and Mathematical SciencesSystem Information SciencesHuman-Social Information SciencesApplied Information SciencesLaboratories by Specialized Subject GroupColaborative LaboratoriesPromotion OfficeAdmissionEntrance ExaminationCurriculum and Qualifications for ApplicationResearch StudentDormitoryFor StudentsSyllabus / Time table / Student HandbookNoticeInternational StudentsScholarshipDormitoryAdmission fee / Tuition fee waiverHandbook for International StudentsJapanese Language ProgramCounseling servicesEmergency InformationInternal Access Only Home Faculty Laboratories by Department Mathematical Structures II Computer and Mathematical Sciences Mathematical Structures II A02 Prof. Toshiyuki Sugawa       Lab's Web page KeywordsComplex Analysis, Geometric Function Theory, Quasiconformal Mappings, Special Functions Complex Analysis The research subject of Sugawa Lab is mainly Complex Analysis. Even if the data and/or functions are described in terms of real variables, hidden structures may emerge when dealing with them as complex variables. For instance, in the classical problems of moments concerning a sequence of real numbers, the power series formed by the sequence (the generating function) gives us many useful visions to tackle the problems. In such a case, Complex Analysis plays an important role. We are studying analytic functions from the geometric viewpoint to provide new interpretations to classical results. Moreover, we are interested in quasiconformal mappings, which have recently found many applications in image processing and brain mapping. With the help of computers together with the above knowledge, we are studying modern topics such as Teichmller spaces, Kleinian groups, Complex Dynamics, and fractals, as well. A graph of the Riemann zeta function: the brightness and the color indicate the absolute value and the argument, respectively. FacultyLaboratories by DepartmentComputer and Mathematical SciencesSystem Information SciencesHuman-Social Information SciencesApplied Information SciencesLaboratories by Specialized Subject GroupColaborative LaboratoriesPromotion Office GSIS: Graduate School of Information Sciences, Tohoku University 6-3-09 Aoba, Aramaki-aza Aoba-ku, Sendai, 980-8579, Japan Phone.+81-22-795-5813 Fax. +81-22-795-5815 Contacts is-www-admin,is.tohoku.ac.jp --> About GSIS Message from the DeanIntroduction to GSISGSIS guide bookOrganizationSNSJournal: Interdisciplinary Information SciencesContacts Faculty Laboratories by DepartmentComputer and Mathematical SciencesSystem Information SciencesHuman-Social Information SciencesApplied Information SciencesLaboratories by Specialized Subject GroupColaborative LaboratoriesPromotion Office Admission Entrance ExaminationCurriculum and Qualifications for ApplicationResearch StudentDormitory For Students Syllabus / Time table / Student HandbookNoticeInternational StudentsScholarshipDormitoryAdmission fee / Tuition fee waiverHandbook for International StudentsJapanese Language ProgramCounseling servicesEmergency InformationInternal Access Only About this Website Link © 2016 Graduate School of Information Sciences, Tohoku University About GSIS Message from the DeanIntroduction to GSISGSIS guide bookOrganizationSNSJournal: Interdisciplinary Information SciencesContacts Faculty Laboratories by DepartmentComputer and Mathematical SciencesSystem Information SciencesHuman-Social Information SciencesApplied Information SciencesLaboratories by Specialized Subject GroupColaborative LaboratoriesPromotion Office Admission Entrance ExaminationCurriculum and Qualifications for ApplicationResearch StudentDormitory For Students Syllabus / Time table / Student HandbookNoticeInternational StudentsScholarshipDormitoryAdmission fee / Tuition fee waiverHandbook for International StudentsJapanese Language ProgramCounseling servicesEmergency InformationInternal Access Only Sitemap Access Japanese no cache

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