The pseudodifferential operator A(x, D). (18th February 2004)
- Record Type:
- Journal Article
- Title:
- The pseudodifferential operator A(x, D). (18th February 2004)
- Main Title:
- The pseudodifferential operator A(x, D)
- Authors:
- Pathak, R. S.
Pathak, S. - Abstract:
- Abstract : The pseudodifferential operator (p.d.o.)A ( x, D ), associated with the Bessel operatord 2 / d x 2 + ( 1 − 4 μ 2 ) / 4 x 2, is defined. Symbol classH ρ, δ m is introduced. It is shown that the p.d.o. associated with a symbol belonging to this class is a continuous linear mapping of the Zemanian spaceH μ into itself. An integral representation of p.d.o. is obtained. Using Hankel convolutionL σ, α p -norm continuity of the p.d.o. is proved.
- Is Part Of:
- International journal of mathematics and mathematical sciences. Number 8(2004)
- Journal:
- International journal of mathematics and mathematical sciences
- Issue:
- Number 8(2004)
- Issue Display:
- Volume 8, Issue 8 (2004)
- Year:
- 2004
- Volume:
- 8
- Issue:
- 8
- Issue Sort Value:
- 2004-0008-0008-0000
- Page Start:
- 407
- Page End:
- 419
- Publication Date:
- 2004-02-18
- Subjects:
- Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.hindawi.com/journals/ijmms/ ↗
- DOI:
- 10.1155/S0161171204212388 ↗
- Languages:
- English
- ISSNs:
- 0161-1712
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 10901.xml