https://doi.org/10.1007/978-3-662-38353-7ell-known formula. $$matrix{overline{(1+mid xmid^2)^{-r/2}}={1over (2pi)^{n/2}}int {e^{iuxi}dxiover (1+mid xi mid^2)^{r/2}}cr ={1over{mid umid^{{n-r}over 2}}}{mathopintlimits_0^infty}{varrho^{n/2}over (1+varrho^2)^{r/2}}I_{{n-2}over 2}(mid umidvarrho)dvarrho,}$$ where . is the Bessel Function of ord
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Approximation of Functions of Several Variables and Imbedding Theorems978-3-642-65711-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
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0072-7830 Overview: 978-3-642-65713-9978-3-642-65711-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
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The Function Classes ,, ,, , measurable function ?(.) = ?(., .). For fixed . it is a function of ., defined on the corresponding open one-dimensional set. If ? is absolutely continuous on any closed finite segment belonging to this set, then we will say that it is for the indicated . relative to ..
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Approximation of Functions of Several Variables and Imbedding Theorems
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Imbedding Theorems for Different Metrics and Dimensions,n [2].. As applied to the space ?. and to its coordinate subspace ?.(1 ≦ . ≦), this theorem reads:. ? ∈ .?.) and (1) $$0{mathop
Transitivity and Unimprovability of Imbedding Theorems. Compactness,)$ and numbers .′, .″, satisfying the inequalities (2) $$p_l {mathop
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W. Kikuth,K. F. Meyer,J. Tomcsiknctions, entire functions of exponential type may serve as a means of approximation. of nonperiodic functions, given on .-dimensional space. Perhaps the reader inexperienced in these questions ought to start this chapter by reading 3.1.1, where we give in addition general information on the theory of multiple power series.
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https://doi.org/10.1007/978-3-662-42624-1 {nover p}+{mover p^prime}, 1 {mathop
Introduction, the questions of the theory of embedding in connection with ideas long of interest to me connected with the classical theory of approximation of functions by polynomials, first of all by trigonometrical polynomials and their nonperiodic analogues, entire functions of exponential type.
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,Entire Functions of Exponential Type, Bounded on ?,nctions, entire functions of exponential type may serve as a means of approximation. of nonperiodic functions, given on .-dimensional space. Perhaps the reader inexperienced in these questions ought to start this chapter by reading 3.1.1, where we give in addition general information on the theory of multiple power series.
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Imbedding Theorems for Different Metrics and Dimensions, {nover p}+{mover p^prime}, 1 {mathop
Psychology and critique – forms of psychologization after 1945: An introduction more far-reaching controversies about psychological research methods. No less dramatic is another current critique of psychology which takes a completely different direction: Critics such as the German legal expert and social scientist Albert Kr?lls (2016) currently argue that psychology is the ‘modern opium of the people’.
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Mechanische Auffahrung des Triebwasserstollens beim Kraftwerk Langenegg der Vorarlberger Kraftwerkes Auge gefa?t. Die Ausschreibung enthielt aber auch eine Variante mit konventionellem Vortrieb. Da der gefr?ste Kreisquerschnitt bei einem hochbeanspruchten Druckstollen erhebliche Vorteile bietet, wurde schlie?lich diese Variante in Auftrag gegeben.
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Barents Depression). According to the modeling, liquid hydrocarbons generated by the Ordovician, Silurian and Devonian deposits in the Admiralteyskoe Rise and by Devonian, Permian and considerable part of Triassic rocks in the South Barents depression were subjected (perhaps, partly) to secondary c
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Superconvergent Graded Meshes for an Elliptic Dirichlet Control Problem,historical times for distinct peoples, it comes when a community can recognize itself. Usually this occurs in looking back on its origins, although not all early epics are origin myths in the strictest senses.. For ancient Greeks, the epic period happened more than two-and-a-half millennia ago; for
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https://doi.org/10.1007/b136575algorithms; bioinformatics; computational engineering; computational mathematics; computational science;
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