O'Z O'ZIGA QO'SHMA QISMIY INTEGRAL OPERATORLAR CHEKSIZ XOS QIYMATLARINING SPEKTRAL TAHLILI

Laylo Navruzova

doi:10.71337/inlibrary.uz.science-research.137482

Ushbu maqola o'z o'ziga qo'shma qismiy integral operatorlarning cheksiz xos qiymatlari spektral xususiyatlarini chuqur matematik tahlil qilishga bag'ishlangan. Funksional tahlil va operator nazariyasining muhim yo'nalishi sifatida, qismiy integral operatorlar nazariyasi matematik fizika, kvant mexanikasi va integral tenglamalar nazariyasida keng qo'llaniladi. Natijalar shuni ko'rsatadiki, qismiy integral operatorlarning xos qiymatlari ma'lum asimptotik qonuniyatlarga bo'ysunadi va ularning spektral xususiyatlari operator yadrosi va aniqlanish sohasining geometrik xususiyatlari bilan chambarchas bog'liqdir.

How to Cite

O’Z O’ZIGA QO’SHMA QISMIY INTEGRAL OPERATORLAR CHEKSIZ XOS QIYMATLARINING SPEKTRAL TAHLILI. (2025). Modern Science and Research, 4(10), 279-284. https://doi.org/10.71337/inlibrary.uz.science-research.137482

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