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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.
https://doi.org/10.1007/978-3-662-42624-1 {nover p}+{mover p^prime},1 {mathop<limits_=} p.<p^prime <infty,$$ P ? . (2) $$W_p^l({
m R}_n)
ightarrow W_{p^prime}^{lbrack varrho
brack}({
m R}_m),$$ . [ϱ] . ϱ. . ƒ|. =φ, . .(ℝ.), . (3) $$|varphi|_{W_{pprime}^{lbrack varrho
brack}({
m R}_m)} {mathop<limits_=} {cal C}|f|_{W_p^l({
m R}_n)}$$ is satisfied, where . does not depend on ƒ.
Introduction, the questions of the theory of embedding in connection with ideas long of interest to me connected with the classical theory of approximation of functions by polynomials, first of all by trigonometrical polynomials and their nonperiodic analogues, entire functions of exponential type.
,Entire Functions of Exponential Type, Bounded on ℝ,nctions, entire functions of exponential type may serve as a means of approximation. of nonperiodic functions, given on .-dimensional space. Perhaps the reader inexperienced in these questions ought to start this chapter by reading 3.1.1, where we give in addition general information on the theory of multiple power series.
Imbedding Theorems for Different Metrics and Dimensions, {nover p}+{mover p^prime},1 {mathop<limits_=} p.<p^prime <infty,$$ P ? . (2) $$W_p^l({
m R}_n)
ightarrow W_{p^prime}^{lbrack varrho
brack}({
m R}_m),$$ . [ϱ] . ϱ. . ƒ|. =φ, . .(ℝ.), . (3) $$|varphi|_{W_{pprime}^{lbrack varrho
brack}({
m R}_m)} {mathop<limits_=} {cal C}|f|_{W_p^l({
m R}_n)}$$ is satisfied, where . does not depend on ƒ.
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 Krölls (2016) currently argue that psychology is the ‘modern opium of the people’.
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