NDLI: Recapturing a Holomorphic Function on an Annulus from its Mean Boundary Values

Content Provider	Scilit
Author	Ching, Chin Hung Chui, Charles K.
Copyright Year	1973
Description	Let be an annulus in the complex plane with closure and boundary . We prove that a function , holomorphic in with boundary data for some , is uniquely determined by its arithmetic means and over equally spaced points on . We also give an explicit formula for recapturing from its means and . Furthermore, we derive the relations between and which are necessary and sufficient for the analytic continuability of from to the whole disc.
Related Links	http://www.ams.org/proc/1973-41-01/S0002-9939-1973-0320326-3/S0002-9939-1973-0320326-3.pdf
Ending Page	126
Page Count	7
Starting Page	120
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2038826
Journal	Proceedings of the American Mathematical Society
Issue Number	1
Volume Number	41
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Mathematical Physics Holomorphic Function Annulus Mean Boundary Recapturing A Holomorphic Boundary Values
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

Central Library (ISO-9001:2015 Certified)
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India | PIN - 721302

See location in the Map
03222 282435
Mail: support@ndl.gov.in

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Recapturing a Holomorphic Function on an Annulus from its Mean Boundary Values