Interpolation inequalities for modified Sobolev spaces and their implications to inversion of Radon transform

IF 1.2 Q3 MULTIDISCIPLINARY SCIENCES Proceedings of the Indian National Science Academy Pub Date : 2023-04-24 DOI:10.1007/s43538-023-00164-y
M. Nair, Pradeep Boggarapu
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修正Sobolev空间的插值不等式及其对Radon变换反演的启示
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75
期刊介绍: The National Institute of Sciences of India, now the Indian National Science Academy, was inaugurated on 7 January 1935 at Calcutta and commissioned its journal, Proceedings of the National Institute of Sciences of India, in the same year for publishing articles from all branches of Science including Mathematics. As the number of accepted papers increased, the journal was bifurcated in 1955 into two parts - Part A (Physical Sciences) and Part B (Biological Sciences). When the National Institute of Sciences of India was renamed as Indian National Science Academy in 1970, the journal became Proceedings of the Indian National Science Academy. It continued to be published in two parts with six issues each in a calendar year. In 1997, the Academy decided to publish only review articles of contemporary scientific interest, evaluating advances and newer approaches in the given field. The emphasis thus shifted from being a vehicle of original research reports into one of reviews, and comprehensive summary reports on chosen topics. Thus from the beginning of January 1998,the Proceedings brought out thematic issues containing invited reviews on current scientific topics. Beginning from the year 2006, the Academy merged the Parts A and B so that each issue of the Proceedings is inter-disciplinary and covers areas under Physical, Biological and Applied Sciences, including Engineering. Four issues are brought out in the months of March, June, September and December each year. The Proceedings now includes Reviews, Original Research Articles, Commentaries/Opinion/Reflection, Meeting Reports, Book-Reviews, Academy News etc. Reviews and Research papers in Physics, Chemical Sciences, Earth & Planetary Sciences, Engineering & Technology, Material Sciences & Engineering, Plant Sciences, Animal Sciences, Microbiology & Immunology, Cell & Biomolecular Sciences, Health Sciences, Agricultural Sciences are considered for publication.
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