عنوان
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A study on the adjoint of pseudo-differential operators on compact lie groups
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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Pseudo-differential operator, compact Lie group, self-adjointness, normal operator, unitary operator
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چکیده
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In this paper we find a formula for the adjoint of bounded pseudo-differential operators on compact Lie groups, which yields a necessary and sufficient condition for self-adjointness of these operators. By a similar method we find necessary and sufficient conditions for bounded pseudo-differential operators on compact Lie groups to be normal or unitary and we give some examples of our results on S^1 . Then we show that similar results are true for some bounded pseudo-differential operators on Z .
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پژوهشگران
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مجید جمالپور (نفر سوم)، الناز نبی زاده (نفر دوم)، محمد باقر قائمی (نفر اول)، مرتضی کوزه گر کالجی (نفر چهارم)
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