IKKINCHI TIP KLASSIK SOHALARDA LAPLAS ALMASHTIRISHI, TESKARI LAPLAS ALMASHTIRISH FORMULASI VA TASVIR FUNKSIYANING GOLOMORFLIGI HAQIDAGI TEOREMANING ANALOGI
Ushbu maqolada biz Operatsion hisobning asosiy tushunchalari tasvir va original funksiyalar
orasidagi bog‘lanishlarni, xususan ikkinchi tip klassik sohalar uchun Laplas almashtirishi, teskari
Laplas almashtirishi hamda muhim teoremalaridan biri bo‘lgan, ya’ni matritsaviy tasvir funksiyaning
golomorfligi haqidagi teoremaning analogini quramiz. Buning uchun eng avvalo asosiy ta’rif va
tushunchalarni kiritib olamiz. Ma’lumki klassik sohalar bir-biri bilan o‘zaro bigolomorf ekvivalent
munosabatga ega emas, shu sababli ularning har biri uchun kompleks analiz alohida-alohida quriladi.
Shuning uchun bu maqolada faqat simmetrik Ermit matritsalar sinfiga tegishli bo‘lgan ikkinchi
tip klassik sohalarda Laplas almashtirishining analoglarini olish bilan shug‘ullanamiz. Keyingi
ilmiy izlanishlarimizda birinchi tip to‘g‘ri to‘rtburchak matritsalar sinfiga tegishli va uchinchi
tip antisimmetrik matritsalar sinfiga tegishli matritsa-funksiyalar uchun Laplas almashtirishining
analoglarini olishga harakat qilamiz.
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