Journal article icon

Journal article

The potential theory of several intervals and its applications

Abstract:
Motivated both by digital filter design and polynomial-based matrix iteration methods, we study Green's function for the complement of a union of disjoint closed intervals. The key tool is the Schwarz-Christoffel map. Asymptotic analysis produces simple and useful leading terms for Green's function and the associated equilibrium distribution. Our results are applied to optimal lowpass filters and matrix iterations.
Publication status:
Published

Actions


Access Document


Publisher copy:
10.1007/s00245-001-0011-0

Authors


More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Role:
Author
Journal:
APPLIED MATHEMATICS AND OPTIMIZATION
Volume:
44
Issue:
1
Pages:
67-85
Publication date:
2001-01-01
DOI:
EISSN:
1432-0606
ISSN:
0095-4616
URN:
uuid:e26f9622-2a4c-408b-b52f-f47c8e976c4a
Source identifiers:
188246
Local pid:
pubs:188246

Terms of use


Metrics


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP