پایان‌نامه

wavelets, modulation spaces and pseudidifferential operators

زهره رهبانی

چکیده

مبحث تحلیل زمان-فرکانسی سیگنالها یکی از مهمترین زمینه های مورد بررسی پژوهشگران علوم ÷ایه کاربردی و فنی مهندسی میباشد.در این پایان نامه فضاهای مدولاسیون به عنوان زمینه اصلی این بررسی ها معرفی گردیده اند و نتایج جدیدی که در حوزه های مختلف ریاضی،فیزیک و مهندسی کاربرداساسی و فراوانی دارند استوار و بیان شده اند.به ویژه در این پایان نامه به بررسی و یافتن مقادیر ویژه عملگر های شبه دیفرانسیل با سمبل در فضاهای مدولاسیون و کاربرد |آن در مکانیک کوانتومی پرداخته شده است.

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پایان‌نامه‌های مشابه

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    in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between conti

اسناد مشابه

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    Multilevel inverters with space vector pulse width modulation strategy are gained importance in high power high performance industrial drive applications.This paper presents a simplified space vector PWM method for a two-level and three level inverter The threelevel inverter has

  • Modulation Spaces, Harmonic Analysis and Pseudo-differential Operators

    سند علمی۲۰۱۲JOACHIM TOFT

    The (classical) modulation spaces, as introduced by Feichtinger during the 80’s, consist of all tempered distributions whose short-time Fourier transforms (STFT) have finite mixed (weighted) Lebesgue norm. By choosing the Lebesgue parameters and weight functions in appropriate wa

  • On the L-boundedness of Pseudo-differential Operators and Their Commutators with Symbols in Α-modulation Spaces

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    Since the theory of pseudo-differential operators was established in 1970’s, the L-boundedness of them with symbols in the Hörmander class S ρ,δ has been well investigated by many authors. Among them, Calderón-Vaillancourt [5] first treated the boundedness for the class S 0,0, wh

  • Trace Ideals for Pseudo-differential Operators and Their Commutators with Symbols in Α-modulation Spaces

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    The fact that symbols in the modulation space M1,1 generate pseudo-differential operators of the trace class was first mentioned by Feichtinger and the proof was given by Gröchenig [12]. In this paper, we show that the same is true if we replace M1,1 by more general α-modulation

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    We prove continuity results for Fourier integral operators with symbols in modulation spaces, acting between modulation spaces. The phase functions belong to a class of nondegenerate generalized quadratic forms that includes Schrödinger propagators and pseudodifferential operator