wavelets, modulation spaces and pseudidifferential operators
thesis
- وزارت علوم، تحقیقات و فناوری - دانشگاه ولی عصر (عج) - رفسنجان - دانشکده علوم ریاضی
- author زهره رهبانی
- adviser عطاءالله عسکری همت
- publication year 1390
abstract
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.
similar resources
some properties of fuzzy hilbert spaces and norm of operators
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 continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
15 صفحه اولTrace Operators for Modulation, α-Modulation and Besov Spaces
The α-modulation spaces M p,q , introduced by Gröbner in [10] are a class of function spaces that contain Besov spaces B p,q (α = 1) and modulation spaces M s p,q (α = 0) as special cases. There are two kinds of basic coverings on Euclidean R which is very useful in the theory of function spaces and their applications, one is the uniform covering R = ⋃ k∈Zn Qk, where Qk denote the unit cube wit...
full textComposition Operators and Multiplication Operators on Orlicz Spaces
This article has no abstract.
full textMixed Modulation Spaces and Their Application to Pseudodifferential Operators
This paper uses frame techniques to characterize the Schatten class properties of integral operators. The main result shows that if the coefficients {〈k,Φm,n〉} of certain frame expansions of the kernel k of an integral operator are in l, then the operator is Schatten p-class. As a corollary, we conclude that if the kernel or Kohn-Nirenberg symbol of a pseudodifferential operator lies in a parti...
full textPseudodifferential Operators on L, Wiener Amalgam and Modulation Spaces
We give a complete characterization of the continuity of pseudodifferential operators with symbols in modulation spaces M, acting on a given Lebesgue space L. Namely, we find the full range of triples (p, q, r), for which such a boundedness occurs. More generally, we completely characterize the same problem for operators acting on Wiener amalgam space W (L, L) and even on modulation spaces M . ...
full textComposition and Spectral Invariance of Pseudodifferential Operators on Modulation Spaces
We introduce new classes of Banach algebras of pseudodifferential operators with symbols in certain modulation spaces and investigate their composition and the functional calculus. Operators in these algebras possess the spectral invariance property on the associated family of modulation spaces. These results extend and contain Sjöstrand’s theory, and they are obtained with new phase space meth...
full textMy Resources
document type: thesis
وزارت علوم، تحقیقات و فناوری - دانشگاه ولی عصر (عج) - رفسنجان - دانشکده علوم ریاضی
Keywords
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023